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Antiferromagnetic liquid-crystal suspensions of goethite nanorods: three mechanisms of magnetic field influence on orientational structure 鹅膏石纳米棒的反铁磁性液晶悬浮液:磁场对取向结构的三种影响机制。
IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-08-12 DOI: 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.

该研究探讨了基于向列液晶的鹅膏石纳米棒悬浮液中的磁诱导取向转变。研究考虑了磁补偿悬浮液,它是反铁磁体的液晶类似物。与传统的磁性颗粒不同,鹅膏石纳米棒具有沿颗粒长轴方向的剩磁矩,而且它们还具有负的二磁各向异性。因此可以说,纳米鹅膏石液晶复合材料与外部磁场有三种相互作用机制。前两种机制最初是四极机制,与液晶基体和杂质鹅膏石纳米棒的二磁感应各向异性有关。第三种机制是偶极机制,是由于每个分散粒子的剩磁纵向磁矩造成的。磁场诱导的双折射被用来表明,与纯液晶相比,与外部磁场相互作用的三种竞争取向机制的存在既可以提高也可以降低弗雷德里克兹转换阈值。我们绘制了悬浮液的取向相图,并分析了各种取向机制占主导地位的情况。此外,还以朗道展开的形式获得了悬浮液在弗雷德里克兹转变附近的自由能。由此可以确定,弗雷德里克兹转变可以作为一阶和二阶相变发生。
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引用次数: 0
On pressure-driven Poiseuille flow with non-monotonic rheology 关于非单调流变学的压力驱动 Poiseuille 流。
IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-08-04 DOI: 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。
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引用次数: 0
Mathematical modeling for prediction of physicochemical characteristics of cardiovascular drugs via modified reverse degree topological indices 通过修正的反向度拓扑指数预测心血管药物理化特性的数学模型。
IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-08-04 DOI: 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.

由于心脏病具有多面性,包括生活方式的选择、遗传倾向以及新出现的后 COVID 并发症(如心肌炎和心包炎),全球健康问题持续存在。这就扩大了心血管疾病的范围,包括冠状动脉疾病、心力衰竭、心律失常和瓣膜疾病等。及时采取干预措施,包括改变生活方式和定期服用抗血小板、β-受体阻滞剂、血管紧张素转换酶抑制剂、抗心律失常药和血管扩张剂等药物,对控制这些疾病至关重要。在药物开发过程中,拓扑指数发挥着至关重要的作用,提供了具有成本效益的计算和预测工具。本研究探讨了改进的反向度拓扑指数,强调了其可调整的参数,这些参数可积极塑造分子药物的度序列。这一特点使该方法适用于具有独特物理化学特性的数据集,使其有别于依赖固定度数方法的传统方法。在我们的研究中,我们研究了一个包含 30 种药物化合物的数据集,其中包括用于治疗心血管疾病的索他利氟嗪、达帕利氟嗪、多巴酚丁胺等。通过结构分析,我们利用改进的反向度指数建立了定量结构-性质关系(QSPR)模型,旨在揭示药物开发所需的基本特性。此外,我们还将 QSPR 模型与基于度数的模型进行了比较,清楚地证明了我们提出的方法所固有的卓越功效。
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引用次数: 0
Effect of bottom bumpiness of vibrated closed container on granular dissipation behavior 振动封闭容器底部凹凸对颗粒耗散行为的影响
IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-07-29 DOI: 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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引用次数: 0
The role of epistasis in evolutionary rescue 表观遗传在进化拯救中的作用
IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-07-27 DOI: 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.

摘要 适应性进化使由于环境变化而濒临灭绝的种群得以保存的过程被称为进化拯救。决定这些种群命运的因素有很多,包括人口和遗传因素,如长期遗传变异、基因流动、新突变的可获得性等。尽管目前的文献对进化拯救进行了广泛的讨论,但还缺少关于外显性和适应性景观拓扑对衰退种群命运的作用的研究。在目前的研究中,我们旨在填补这一空白,研究表观遗传对种群灭绝概率的影响。我们给出了模拟结果,并推导出了分析近似值。与直觉相反的是,我们发现当外显率越高时,种群灭绝的可能性就越小。其原因有二:首先,较高的外显率会促进表型效应更显著的突变;另外,基因型-表型和表型-适配性之间的不一致性会使低外显率时的适配性景观变得更加崎岖不平,从而抑制了其某些优势。
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引用次数: 0
Molecular structure of DNA via Zagreb connection descriptors 通过萨格勒布连接描述符确定 DNA 分子结构
IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-07-27 DOI: 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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引用次数: 0
Nematodynamics with odd and rotational viscosities 具有奇数粘度和旋转粘度的线动力学
IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-07-27 DOI: 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

我们探索了包括奇数粘度和旋转粘度在内的向列秩序与流动之间的新型相互作用机制,并在此模型框架内研究了活动诱发的不稳定性。我们展示了如何将这些粘性耗散模式纳入埃里克森-莱斯利形式主义,但这并不能消除基于昂萨格互易关系的方法的缺陷,因为这种方法会导致虚假的不稳定性。根据适用于刚性杆的特定机制提出的线动力方程推导方法并不通用,但它避免了引用昂萨格关系,并避免了在没有主动输入的情况下出现虚假不稳定性。该模型进一步应用于活动介质的不稳定性分析
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引用次数: 0
Modelling intracellular transport in crowded environments: effects of motor association to cargos 拥挤环境中的细胞内运输建模:电机与货物关联的影响。
IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-07-13 DOI: 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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引用次数: 0
Effect of internal structure and resin deformability on drying rate and stress in convective drying of silica–latex coatings 硅胶-乳胶涂料对流干燥中内部结构和树脂变形性对干燥速率和应力的影响
IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-07-04 DOI: 10.1140/epje/s10189-024-00432-9
Hiroaki Tanaka, Yoshiyuki Komoda, Takafumi Horie, Naoto Ohmura

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.

Graphical abstract

乳胶漆是一种纳米级聚合物颗粒的水性分散体,可以单独成膜,也可以与硬质颗粒混合成膜。我们开发了一种可同时测量干燥速率和应力产生的仪器,并研究了对流干燥条件下纯乳胶涂料层的成膜过程。在本研究中,我们采用了相同的方法来研究二氧化硅-乳胶涂层的成膜过程。结果,我们能够系统地将干燥速率的变化与干燥表面硅胶颗粒积累的乳胶颗粒等效厚度联系起来。此外,我们还发现,前一阶段的干燥速率取决于干燥温度,而在整个涂层上形成颗粒堆积层后,干燥速率则变为由二氧化硅含量主导。另一方面,考虑到温度对乳胶变形性的影响,我们提出的应力产生模型适用于本实验系统,即用刚性颗粒代替部分可变形颗粒。
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引用次数: 0
Calorimetric, optical and dielectric measurements on two Schiff’s based liquid crystalline materials exhibiting multiple phase transitions 对两种表现出多重相变的席夫基液晶材料进行量热、光学和介电测量。
IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-06-24 DOI: 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

我们报告了对 4O.5 和 5O.5 这两种基于希夫烷的液晶材料进行的高分辨率量热、光学和介电研究,这两种材料表现出多种相变。这项研究超越了通常研究的各向同性到向列性(I-N)和向列性到共晶 A(N-Smectic A)相变,探索了更高阶的共晶相变。我们探讨了不同相变的临界指数 α 值。对于 I-N、N-SmA、SmA-SmC、SmC-SmF、SmF-CrG 和 SmB-CrG 转变,α 值接近 0.5,振幅比 A-/A+ ~ 1.6 和 D-/D+ ~ 1 表明其具有一阶性质。值得注意的是,对于 SmA-SmB 转变,虽然 α (≈ 0.64) 大于三临界值 0.5,但 A-/A+ ~ 1.2 和 D-/D+ ~ 1,研究报告的阶次参数临界指数 (β)为 0.26 ± 0.002,这支持了该转变的三临界性质。重要的是,在所有三种测量方法中,A-/A+ 和 D-/D+ 的比率具有相似的值,这表明这些方法之间具有一致性和一致性。
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引用次数: 0
期刊
The European Physical Journal E
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