Pub Date : 2024-08-12DOI: 10.1140/epje/s10189-024-00448-1
Danil A. Petrov, Ilya A. Chupeev
The study looks into magnetically induced orientational transitions in suspensions of goethite nanorods based on a nematic liquid crystal. The study considers magnetically compensated suspension, which is a liquid-crystal analogue of an antiferromagnet. Unlike conventional magnetic particles, goethite nanorods have a remanent magnetic moment directed along the long axis of the particle and also they have negative diamagnetic anisotropy. Thus, it can be claimed that liquid-crystal composites of goethite nanorods have three mechanisms of interaction with an external magnetic field. The first two mechanisms are originally quadrupolar and are related to diamagnetic susceptibility anisotropies of liquid-crystal matrix and impurity goethite nanorods. The third mechanism is a dipolar one and is due to a remanent longitudinal magnetic moment of each dispersed particle. The magnetic-field-induced birefringence is used to show that the presence of three competing orientational mechanisms of interaction with an external magnetic field can both increase and decrease the Fréedericksz transition threshold compared to a pure liquid crystal. Diagrams of orientational phases of the suspension were constructed, and cases of various orientational mechanism predominance were analysed. Besides, a representation of the free energy of the suspension near the Fréedericksz transition in the form of the Landau expansion was obtained. This made it possible to establish that the Fréedericksz transition can occur as a phase transition of both the first and second order.
{"title":"Antiferromagnetic liquid-crystal suspensions of goethite nanorods: three mechanisms of magnetic field influence on orientational structure","authors":"Danil A. Petrov, Ilya A. Chupeev","doi":"10.1140/epje/s10189-024-00448-1","DOIUrl":"10.1140/epje/s10189-024-00448-1","url":null,"abstract":"<p>The study looks into magnetically induced orientational transitions in suspensions of goethite nanorods based on a nematic liquid crystal. The study considers magnetically compensated suspension, which is a liquid-crystal analogue of an antiferromagnet. Unlike conventional magnetic particles, goethite nanorods have a remanent magnetic moment directed along the long axis of the particle and also they have negative diamagnetic anisotropy. Thus, it can be claimed that liquid-crystal composites of goethite nanorods have three mechanisms of interaction with an external magnetic field. The first two mechanisms are originally quadrupolar and are related to diamagnetic susceptibility anisotropies of liquid-crystal matrix and impurity goethite nanorods. The third mechanism is a dipolar one and is due to a remanent longitudinal magnetic moment of each dispersed particle. The magnetic-field-induced birefringence is used to show that the presence of three competing orientational mechanisms of interaction with an external magnetic field can both increase and decrease the Fréedericksz transition threshold compared to a pure liquid crystal. Diagrams of orientational phases of the suspension were constructed, and cases of various orientational mechanism predominance were analysed. Besides, a representation of the free energy of the suspension near the Fréedericksz transition in the form of the Landau expansion was obtained. This made it possible to establish that the Fréedericksz transition can occur as a phase transition of both the first and second order.</p>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"47 8","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141970347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-04DOI: 10.1140/epje/s10189-024-00444-5
L. Talon, D. Salin
<p>Shear thickening fluids are liquids that stiffen as the applied stress increases. If many of these types of fluids follow a monotonic rheological curve, some experimental and numerical studies suggest that certain fluids, like cornstarch, may exhibit a non-monotonic, S-shaped rheology. Such non-monotonic behavior has however proved very difficult to observe experimentally in classical rheometer. To explain such difficulties, the possible presence of vorticity banding in the rheometer has been considered. To prevent such instabilities, we use a capillary rheometer, which is a cylindrical tube, measuring the flow rate versus the applied pressure drop. With this setup, we indeed observe a non-monotonic behavior: the flow rate increases monotonically at low pressure drops up to a maximum, after which it abruptly decreases to an almost constant flow rate regardless of further increases in pressure drop. This maximum-jump–plateau behavior occurs over a wide range of concentrations and is reproducible without hysteresis, which is in agreement with an S-shaped rheology. However, the obtained flow versus pressure difference function <span>(Q(Delta P))</span> does not agree with the classical Wyart–Cates rheological model, which predicts an S-shaped non-monotonic function, but with neither a jump nor a plateau. To understand this jump–plateau behavior, we remark that any rheological model would establish a relationship between the flow rate and the local pressure gradient, but not the total pressure drop. We thus discuss and analyze the implications of having an S-shaped non-monotonic flow rate-pressure gradient in Poiseuille flow. In particular, we discuss the possibility of a non-uniform pressure gradient in the direction of the flow, i.e., a kind of streamwise banding. The key issue is then the selection of the gradient pressure distribution along the tube. One solution could arise from an analogy of this problem with the spinodal decomposition. It, however, leads to an increase in flow rate with <span>(partial _xP)</span> up to a plateau between two values of <span>(partial _xP)</span> as determined by the Maxwell construction. To account for the bump–jump behavior, we have implemented a simple dynamical stochastic version of the Wyart–Cates model, where the thickening occurs with a characteristic time. As a result, with increasing the total pressure drop, the flow rate increases monotonically up to a maximum value. Beyond this point, the flow rate drops abruptly to a lower value, forming a slowly decreasing plateau. This behavior is likely to account for the maximum-jump–plateau observed in the experiments. We also show that in such a system, the final state is quite sensitive to the initial state of the fluid, especially its homogeneity. Our results then demonstrate that the mere presence of a non-monotonic rheological curve is sufficient to predict the occurrence of stress banding in the streamwise direction and a plateau flow rate, even if the s
剪切增稠流体是指随着外加应力的增加而变硬的液体。如果说许多此类流体遵循的是单调流变曲线,那么一些实验和数值研究表明,某些流体(如玉米淀粉)可能表现出非单调的 S 型流变。然而,这种非单调行为很难在经典流变仪中进行实验观察。为了解释这种困难,我们考虑了流变仪中可能存在的涡度带。为了防止这种不稳定性,我们使用了毛细管流变仪,它是一个圆柱形管,测量流速与外加压降的关系。在这种设置下,我们确实观察到了一种非单调行为:流量在低压降时单调增加,直到达到最大值,然后突然下降到几乎恒定的流量,与压降的进一步增加无关。这种 "最大值-跳跃-高原 "的行为发生在很宽的浓度范围内,并且可重复,没有滞后现象,这与 S 型流变学是一致的。然而,获得的流量与压差函数 Q ( Δ P ) 与经典的 Wyart-Cates 流变模型并不一致,后者预测的是 S 型非单调函数,但既没有跳跃也没有高原。为了理解这种 "跳跃-高原 "行为,我们认为任何流变模型都会在流速和局部压力梯度之间建立关系,但不会在总压降之间建立关系。因此,我们讨论并分析了 Poiseuille 流体中 S 形非单调流速-压力梯度的影响。特别是,我们讨论了在流动方向上出现非均匀压力梯度的可能性,即一种流向带状。因此,关键问题在于如何选择沿管道的梯度压力分布。一种解决方案是将这一问题与自旋分解进行类比。然而,这种方法会导致流速随 ∂ x P 的增加而增加,直至两个 ∂ x P 值之间的高原,这是由麦克斯韦结构决定的。为了解释凹凸跳跃行为,我们采用了 Wyart-Cates 模型的一个简单动态随机版本,即增厚发生的特征时间。因此,随着总压降的增加,流速会单调地增加到最大值。超过该值后,流速会突然下降到一个较低值,形成一个缓慢下降的高原。这种行为很可能是实验中观察到的最大跳跃高原的原因。我们还证明,在这种系统中,最终状态对流体的初始状态相当敏感,尤其是其均匀性。因此,我们的结果表明,即使悬浮液保持均质,只要存在非单调流变曲线,就足以预测流向应力带和高原流速的出现。
{"title":"On pressure-driven Poiseuille flow with non-monotonic rheology","authors":"L. Talon, D. Salin","doi":"10.1140/epje/s10189-024-00444-5","DOIUrl":"10.1140/epje/s10189-024-00444-5","url":null,"abstract":"<p>Shear thickening fluids are liquids that stiffen as the applied stress increases. If many of these types of fluids follow a monotonic rheological curve, some experimental and numerical studies suggest that certain fluids, like cornstarch, may exhibit a non-monotonic, S-shaped rheology. Such non-monotonic behavior has however proved very difficult to observe experimentally in classical rheometer. To explain such difficulties, the possible presence of vorticity banding in the rheometer has been considered. To prevent such instabilities, we use a capillary rheometer, which is a cylindrical tube, measuring the flow rate versus the applied pressure drop. With this setup, we indeed observe a non-monotonic behavior: the flow rate increases monotonically at low pressure drops up to a maximum, after which it abruptly decreases to an almost constant flow rate regardless of further increases in pressure drop. This maximum-jump–plateau behavior occurs over a wide range of concentrations and is reproducible without hysteresis, which is in agreement with an S-shaped rheology. However, the obtained flow versus pressure difference function <span>(Q(Delta P))</span> does not agree with the classical Wyart–Cates rheological model, which predicts an S-shaped non-monotonic function, but with neither a jump nor a plateau. To understand this jump–plateau behavior, we remark that any rheological model would establish a relationship between the flow rate and the local pressure gradient, but not the total pressure drop. We thus discuss and analyze the implications of having an S-shaped non-monotonic flow rate-pressure gradient in Poiseuille flow. In particular, we discuss the possibility of a non-uniform pressure gradient in the direction of the flow, i.e., a kind of streamwise banding. The key issue is then the selection of the gradient pressure distribution along the tube. One solution could arise from an analogy of this problem with the spinodal decomposition. It, however, leads to an increase in flow rate with <span>(partial _xP)</span> up to a plateau between two values of <span>(partial _xP)</span> as determined by the Maxwell construction. To account for the bump–jump behavior, we have implemented a simple dynamical stochastic version of the Wyart–Cates model, where the thickening occurs with a characteristic time. As a result, with increasing the total pressure drop, the flow rate increases monotonically up to a maximum value. Beyond this point, the flow rate drops abruptly to a lower value, forming a slowly decreasing plateau. This behavior is likely to account for the maximum-jump–plateau observed in the experiments. We also show that in such a system, the final state is quite sensitive to the initial state of the fluid, especially its homogeneity. Our results then demonstrate that the mere presence of a non-monotonic rheological curve is sufficient to predict the occurrence of stress banding in the streamwise direction and a plateau flow rate, even if the s","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"47 8","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141888109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-04DOI: 10.1140/epje/s10189-024-00446-3
Micheal Arockiaraj, A. Berin Greeni, A. R. Abul Kalaam, Tariq Aziz, Metab Alharbi
Global health concerns persist due to the multifaceted nature of heart diseases, which include lifestyle choices, genetic predispositions, and emerging post-COVID complications like myocarditis and pericarditis. This broadens the spectrum of cardiovascular ailments to encompass conditions such as coronary artery disease, heart failure, arrhythmias, and valvular disorders. Timely interventions, including lifestyle modifications and regular medications such as antiplatelets, beta-blockers, angiotensin-converting enzyme inhibitors, antiarrhythmics, and vasodilators, are pivotal in managing these conditions. In drug development, topological indices play a critical role, offering cost-effective computational and predictive tools. This study explores modified reverse degree topological indices, highlighting their adjustable parameters that actively shape the degree sequences of molecular drugs. This feature makes the approach suitable for datasets with unique physicochemical properties, distinguishing it from traditional methods that rely on fixed degree approaches. In our investigation, we examine a dataset of 30 drug compounds, including sotagliflozin, dapagliflozin, dobutamine, etc., which are used in the treatment of cardiovascular diseases. Through the structural analysis, we utilize modified reverse degree indices to develop quantitative structure–property relationship (QSPR) models, aiming to unveil essential understandings of their characteristics for drug development. Furthermore, we compare our QSPR models against the degree-based models, clearly demonstrating the superior effectiveness inherent in our proposed method.
{"title":"Mathematical modeling for prediction of physicochemical characteristics of cardiovascular drugs via modified reverse degree topological indices","authors":"Micheal Arockiaraj, A. Berin Greeni, A. R. Abul Kalaam, Tariq Aziz, Metab Alharbi","doi":"10.1140/epje/s10189-024-00446-3","DOIUrl":"10.1140/epje/s10189-024-00446-3","url":null,"abstract":"<p>Global health concerns persist due to the multifaceted nature of heart diseases, which include lifestyle choices, genetic predispositions, and emerging post-COVID complications like myocarditis and pericarditis. This broadens the spectrum of cardiovascular ailments to encompass conditions such as coronary artery disease, heart failure, arrhythmias, and valvular disorders. Timely interventions, including lifestyle modifications and regular medications such as antiplatelets, beta-blockers, angiotensin-converting enzyme inhibitors, antiarrhythmics, and vasodilators, are pivotal in managing these conditions. In drug development, topological indices play a critical role, offering cost-effective computational and predictive tools. This study explores modified reverse degree topological indices, highlighting their adjustable parameters that actively shape the degree sequences of molecular drugs. This feature makes the approach suitable for datasets with unique physicochemical properties, distinguishing it from traditional methods that rely on fixed degree approaches. In our investigation, we examine a dataset of 30 drug compounds, including sotagliflozin, dapagliflozin, dobutamine, etc., which are used in the treatment of cardiovascular diseases. Through the structural analysis, we utilize modified reverse degree indices to develop quantitative structure–property relationship (QSPR) models, aiming to unveil essential understandings of their characteristics for drug development. Furthermore, we compare our QSPR models against the degree-based models, clearly demonstrating the superior effectiveness inherent in our proposed method.</p>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"47 8","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141888108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-29DOI: 10.1140/epje/s10189-024-00443-6
Wenzhe Li, Kai Zhang, Fugui Sun, Meng Chen
The dissipation behavior of granular balls inside quasi-two-dimensional closed containers with different levels of bottom bumpiness under vibration is examined in this article using the discrete element method. The quasi-two-dimensional closed granular system used in this paper has dimensions of (L_{x} times L_{y} times L_{z} = 60,{text{mm}} times 5,{text{mm}} times 120,{text{mm}}), and the diameters of the 279 filled granular balls are 4 mm. First, the dynamic behavior and damping effects of granular balls within a flat-bottomed closed container are explored across the range of relevant excitation parameters, identifying four high damping granular phases. Second, this study investigated the impact of the container's bottom surface bumpiness, convex height, and number of bumps on the dissipative behavior of internal granular balls. The findings reveal that a single 2 mm bump on the container's bottom surface maximally enhances the damping effect on the granular balls. Finally, by comparing the optimal damping behavior of granular balls inside a flat-bottomed container with that of a container featuring a single 2 mm bump at the bottom, this study revealed how the protruding bottom surface enhances the damping effect on the granular balls inside the container. This provides theoretical support for optimizing the performance of granular dampers in engineering practice by controlling the morphology of the cavity bottom surface.
Graphical abstract
本文采用离散元法研究了具有不同底部凹凸程度的准二维封闭容器内颗粒球在振动下的耗散行为。本文使用的准二维封闭颗粒系统尺寸为 L x × L y × L z = 60 mm × 5 mm × 120 mm,279 个填充颗粒球的直径为 4 mm。首先,在相关激励参数范围内探索了平底封闭容器内颗粒球的动态行为和阻尼效应,确定了四个高阻尼颗粒相位。其次,研究了容器底面凹凸、凸起高度和凹凸数量对内部颗粒球耗散行为的影响。研究结果表明,容器底面上一个 2 毫米的凸起能最大程度地增强颗粒球的阻尼效果。最后,通过比较平底容器内颗粒球的最佳阻尼行为和底部单个 2 毫米凸起的容器内颗粒球的最佳阻尼行为,本研究揭示了突出的底面如何增强容器内颗粒球的阻尼效果。这为在工程实践中通过控制空腔底面的形态来优化颗粒阻尼器的性能提供了理论支持。
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Pub Date : 2024-07-27DOI: 10.1140/epje/s10189-024-00445-4
Osmar Freitas, Paulo R. A. Campos
The process by which adaptive evolution preserves a population threatened with extinction due to environmental changes is known as evolutionary rescue. Several factors determine the fate of those populations, including demography and genetic factors, such as standing genetic variation, gene flow, availability of de novo mutations, and so on. Despite the extensive debate about evolutionary rescue in the current literature, a study about the role of epistasis and the topography of the fitness landscape on the fate of dwindling populations is missing. In the current work, we aim to fill this gap and study the influence of epistasis on the probability of extinction of populations. We present simulation results, and analytical approximations are derived. Counterintuitively, we show that the likelihood of extinction is smaller when the degree of epistasis is higher. The reason underneath is twofold: first, higher epistasis can promote mutations of more significant phenotypic effects, but also, the incongruence between the maps genotype–phenotype and phenotype–fitness turns the fitness landscape at low epistasis more rugged, thus curbing some of its advantages.
{"title":"The role of epistasis in evolutionary rescue","authors":"Osmar Freitas, Paulo R. A. Campos","doi":"10.1140/epje/s10189-024-00445-4","DOIUrl":"10.1140/epje/s10189-024-00445-4","url":null,"abstract":"<p>The process by which adaptive evolution preserves a population threatened with extinction due to environmental changes is known as evolutionary rescue. Several factors determine the fate of those populations, including demography and genetic factors, such as standing genetic variation, gene flow, availability of <i>de novo mutations</i>, and so on. Despite the extensive debate about evolutionary rescue in the current literature, a study about the role of epistasis and the topography of the fitness landscape on the fate of dwindling populations is missing. In the current work, we aim to fill this gap and study the influence of epistasis on the probability of extinction of populations. We present simulation results, and analytical approximations are derived. Counterintuitively, we show that the likelihood of extinction is smaller when the degree of epistasis is higher. The reason underneath is twofold: first, higher epistasis can promote mutations of more significant phenotypic effects, but also, the incongruence between the maps genotype–phenotype and phenotype–fitness turns the fitness landscape at low epistasis more rugged, thus curbing some of its advantages.</p>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"47 7","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141775894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-27DOI: 10.1140/epje/s10189-024-00442-7
Muhammad Mudassar Hassan, Xiang-Feng Pan
Topological indices quantify the connectivity and structural properties of chemical compounds. We use the topological indices for predicting and evaluating the numerous properties of molecules, such as boiling temperatures, toxicity, and biological activity. Zagreb connection indices are a useful tool for studying the structural characteristics of the DNA backbone network. These indices provide important information on the arrangement and connections between nucleotide bases inside the DNA molecule. These indices show compactness, complexity, and topological properties in order to predict DNA bending propensity, DNA-protein interaction, and DNA stability. DNA folding patterns and the impact of mutations on DNA networks are areas of further research for these topological indices. In this study, we calculate Zagreb connection indices and modified Zagreb connection indices for backbone DNA network and subdivided backbone DNA network. Furthermore, we compute the hyper-Zagreb connection index, the inverse sum connection index, and the harmonic connection index.
摘要 拓扑指数量化了化合物的连接性和结构特性。我们利用拓扑指数来预测和评估分子的多种特性,如沸腾温度、毒性和生物活性。萨格勒布连接指数是研究 DNA 主干网结构特征的有用工具。这些指数提供了 DNA 分子内部核苷酸碱基排列和连接的重要信息。这些指数显示了紧凑性、复杂性和拓扑特性,可用于预测 DNA 弯曲倾向、DNA 蛋白相互作用和 DNA 稳定性。DNA 折叠模式和突变对 DNA 网络的影响是这些拓扑指数的进一步研究领域。在本研究中,我们计算了骨干 DNA 网络和细分骨干 DNA 网络的萨格勒布连接指数和修正萨格勒布连接指数。此外,我们还计算了超萨格勒布连接指数、逆和连接指数以及谐波连接指数。
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Pub Date : 2024-07-27DOI: 10.1140/epje/s10189-024-00441-8
L. M. Pismen
We explore a novel mechanism of interactions between nematic order and flow including odd and rotational viscosities, and investigate activity-induced instabilities in the framework of this model. We show how these modes of viscous dissipation can be incorporated in the Ericksen–Leslie formalism, but it does not eliminate deficiencies of the approach based on Onsager’s reciprocal relations that lead to spurious instabilities. The suggested way of deriving nematodynamic equations, based on a specific mechanism applicable to rigid rods, is not universal, but it avoids referring to Onsager’s relations and avoids spurious instabilities in the absence of an active inputs. The model is further applied to the analysis of instabilities in active media
{"title":"Nematodynamics with odd and rotational viscosities","authors":"L. M. Pismen","doi":"10.1140/epje/s10189-024-00441-8","DOIUrl":"10.1140/epje/s10189-024-00441-8","url":null,"abstract":"<div><p>We explore a novel mechanism of interactions between nematic order and flow including odd and rotational viscosities, and investigate activity-induced instabilities in the framework of this model. We show how these modes of viscous dissipation can be incorporated in the Ericksen–Leslie formalism, but it does not eliminate deficiencies of the approach based on Onsager’s reciprocal relations that lead to spurious instabilities. The suggested way of deriving nematodynamic equations, based on a specific mechanism applicable to rigid rods, is not universal, but it avoids referring to Onsager’s relations and avoids spurious instabilities in the absence of an active inputs. The model is further applied to the analysis of instabilities in active media</p></div>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"47 7","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epje/s10189-024-00441-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141775895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-13DOI: 10.1140/epje/s10189-024-00440-9
Sutapa Mukherji, Dhruvi K. Patel
In intracellular transports, motor proteins transport macromolecules as cargos to desired locations by moving on biopolymers such as microtubules. Recent experiments suggest that, while moving in crowded environments, cargos that can associate motor proteins during their translocation have larger run-length and association time compared to free motors. Here, we model the dynamics of a cargo that can associate at the most m free motors present on the microtubule track as obstacles to its motion. The proposed models display competing effects of association and crowding, leading to a peak in the run-length with the free-motor density. For (m=2) and 3, we show that this feature is governed by the largest eigenvalue of the transition matrix describing the cargo dynamics. In all the above cases, free motors are assumed to be present on the microtubule as stalled obstacles. We finally compare simulation results for the run-length for general scenarios where the free motors undergo processive motion in addition to binding and unbinding to or from the microtubule.
在细胞内运输过程中,马达蛋白通过在微管等生物聚合物上移动,将大分子作为货物运输到所需位置。最近的实验表明,在拥挤的环境中移动时,与自由马达相比,在转运过程中能与马达蛋白结合的货物的运行长度和结合时间更大。在这里,我们建立了一个货物的动力学模型,该货物最多能与微管轨道上作为其运动障碍的 m 个自由马达结合。所提出的模型显示了联合和拥挤的竞争效应,导致运行长度随着自由马达密度的增加而达到峰值。对于 m = 2 和 3,我们证明这一特征受描述货物动力学的过渡矩阵最大特征值的支配。在上述所有情况下,我们都假设自由马达作为停滞的障碍物存在于微管上。最后,我们比较了一般情况下的运行长度模拟结果,即自由马达除了与微管结合或脱离微管外,还进行过程性运动。
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Latex paint is an aqueous dispersion of nano-sized polymer particles that can form a thin film by itself or mixed with rigid particles. We have developed an apparatus that can simultaneously measure drying rate and stress generation and have investigated the film formation process of a latex-only coating layer under convection drying. In the present study, we adopted the same method to investigate the film formation process of the silica–latex coating layer. As a result, we were able to systematically correlate the drying rate change by the equivalent thickness of latex particles accumulated with silica particles at the drying surface. Furthermore, it is unveiled that the drying rate in the former stage depends on drying temperature, while the drying rate changed to be dominated by silica content after the particle-packing layer was formed over the entire coating layer. On the other hand, the model we proposed for stress generation, considering the temperature effect on latex deformability, was found to be applicable to the present experimental system by replacing a portion of deformable particles with rigid particles.
{"title":"Effect of internal structure and resin deformability on drying rate and stress in convective drying of silica–latex coatings","authors":"Hiroaki Tanaka, Yoshiyuki Komoda, Takafumi Horie, Naoto Ohmura","doi":"10.1140/epje/s10189-024-00432-9","DOIUrl":"10.1140/epje/s10189-024-00432-9","url":null,"abstract":"<div><p>Latex paint is an aqueous dispersion of nano-sized polymer particles that can form a thin film by itself or mixed with rigid particles. We have developed an apparatus that can simultaneously measure drying rate and stress generation and have investigated the film formation process of a latex-only coating layer under convection drying. In the present study, we adopted the same method to investigate the film formation process of the silica–latex coating layer. As a result, we were able to systematically correlate the drying rate change by the equivalent thickness of latex particles accumulated with silica particles at the drying surface. Furthermore, it is unveiled that the drying rate in the former stage depends on drying temperature, while the drying rate changed to be dominated by silica content after the particle-packing layer was formed over the entire coating layer. On the other hand, the model we proposed for stress generation, considering the temperature effect on latex deformability, was found to be applicable to the present experimental system by replacing a portion of deformable particles with rigid particles.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"47 7","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11224093/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141533307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-24DOI: 10.1140/epje/s10189-024-00436-5
Prabir Sarkar, Barnali Barman, Parameswara Rao Alapati, Malay Kumar Das
We report high-resolution calorimetric, optical and dielectric studies on two Schiff’s based liquid crystalline materials, 4O.5 and 5O.5, which exhibit multiple phase transitions. The study goes beyond the commonly studied isotropic-to-nematic (I–N) and nematic-to-smectic A (N–SmA) phase transitions and explores higher-order smectic phase transitions. The critical exponent, α values, for different phase transitions has been explored. For the I–N, N–SmA, SmA–SmC, SmC–SmF, SmF–CrG and SmB–CrG transitions, α values close to 0.5 and amplitude ratios A−/A+ ~ 1.6 and D−/D+ ~ 1 indicate a first-order nature. Notably, for the SmA–SmB transition, although α (≈ 0.64) is larger than the tricritical value of 0.5, A−/A+ ~ 1.2 and D−/D+ ~ 1, and the study reports an order parameter critical exponent (β) of 0.26 ± 0.002, which supports a tricritical nature for this transition. Importantly, the ratios of A−/A+ and D−/D+ are found to have similar values across all three-measurement methods, indicating consistency and agreement among these methods.
Graphical abstract
Optical textures of the SmF and CrG phases. Temperature dependence of birefringence for compounds 4O.5 and 5O.5
{"title":"Calorimetric, optical and dielectric measurements on two Schiff’s based liquid crystalline materials exhibiting multiple phase transitions","authors":"Prabir Sarkar, Barnali Barman, Parameswara Rao Alapati, Malay Kumar Das","doi":"10.1140/epje/s10189-024-00436-5","DOIUrl":"10.1140/epje/s10189-024-00436-5","url":null,"abstract":"<div><p>We report high-resolution calorimetric, optical and dielectric studies on two Schiff’s based liquid crystalline materials, 4O.5 and 5O.5, which exhibit multiple phase transitions. The study goes beyond the commonly studied isotropic-to-nematic (I–N) and nematic-to-smectic A (N–SmA) phase transitions and explores higher-order smectic phase transitions. The critical exponent, <i>α</i> values, for different phase transitions has been explored. For the I–N, N–SmA, SmA–SmC, SmC–SmF, SmF–CrG and SmB–CrG transitions, <i>α</i> values close to 0.5 and amplitude ratios <i>A</i><sup>−</sup>/<i>A</i><sup>+</sup> ~ 1.6 and <i>D</i><sup>−</sup>/<i>D</i><sup>+</sup> ~ 1 indicate a first-order nature. Notably, for the SmA–SmB transition, although <i>α</i> (≈ 0.64) is larger than the tricritical value of 0.5, <i>A</i><sup>−</sup>/<i>A</i><sup>+</sup> ~ 1.2 and <i>D</i><sup>−</sup>/<i>D</i><sup>+</sup> ~ 1, and the study reports an order parameter critical exponent (<i>β</i>) of 0.26 ± 0.002, which supports a tricritical nature for this transition. Importantly, the ratios of <i>A</i><sup>−</sup>/<i>A</i><sup>+</sup> and <i>D</i><sup>−</sup>/<i>D</i><sup>+</sup> are found to have similar values across all three-measurement methods, indicating consistency and agreement among these methods.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div><div><p>Optical textures of the SmF and CrG phases. Temperature dependence of birefringence for compounds 4O.5 and 5O.5</p></div></div></figure></div></div>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"47 6","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141441945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}