Pub Date : 2025-04-17DOI: 10.1140/epje/s10189-025-00483-6
Sanatan Das, Poly Karmakar
Electromagnetic plates can be used to heat milk and other dairy products rapidly and uniformly. The use of electromagnetic fields enables precise thermal control, which is crucial for safe pasteurization while retaining the nutritional and sensory qualities of milk. This study investigates the dynamics of Ag-ZnO/milk under electromagnetic fields generated by Riga plates with exponentially decaying wall temperatures. The model includes radiation heat emission, heat sinks, and Darcy drag forces due to the porous medium. The flow is mathematically depicted through unsteady partial differential equations solved using the Laplace transform approach. Results include tabulated and graphical with an exhaustive analysis of flow entities against model parameters. Findings highlight increased milk velocity with a boosted modified Hartmann number and declined velocity with wider electrodes. An AI-powered computing approach enhances the accuracy in envisaging flow metrics, achieving 100% accuracy in training, testing, and validation phases. This research not only advances dairy processing technologies but also paves the way for innovations in food safety, nano-enhanced dairy production, and sustainable manufacturing practices.
Graphical abstract
{"title":"AI-based forecasting of dynamic behaviors of Ag and ZnO nanoparticles-enhanced milk in an electromagnetic channel with exponential heating: dairy decontamination","authors":"Sanatan Das, Poly Karmakar","doi":"10.1140/epje/s10189-025-00483-6","DOIUrl":"10.1140/epje/s10189-025-00483-6","url":null,"abstract":"<div><p>Electromagnetic plates can be used to heat milk and other dairy products rapidly and uniformly. The use of electromagnetic fields enables precise thermal control, which is crucial for safe pasteurization while retaining the nutritional and sensory qualities of milk. This study investigates the dynamics of Ag-ZnO/milk under electromagnetic fields generated by Riga plates with exponentially decaying wall temperatures. The model includes radiation heat emission, heat sinks, and Darcy drag forces due to the porous medium. The flow is mathematically depicted through unsteady partial differential equations solved using the Laplace transform approach. Results include tabulated and graphical with an exhaustive analysis of flow entities against model parameters. Findings highlight increased milk velocity with a boosted modified Hartmann number and declined velocity with wider electrodes. An AI-powered computing approach enhances the accuracy in envisaging flow metrics, achieving 100% accuracy in training, testing, and validation phases. This research not only advances dairy processing technologies but also paves the way for innovations in food safety, nano-enhanced dairy production, and sustainable manufacturing practices.</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":"48 4-5","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143845665","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 : 2025-04-14DOI: 10.1140/epje/s10189-025-00481-8
A. Berin Greeni, Micheal Arockiaraj, S. Gajavalli, Tariq Aziz, Metab Alharbi
Molecular descriptors encapsulate the key structural information of molecules, which is crucial for elucidating molecular behaviors. They have proven invaluable in quantitative structure–property relationship (QSPR) analysis. Such studies involve rigorous scientific investigations into the relationship between molecular structure and diverse physicochemical properties, revealing the underlying principles governing structure–property correlations. This facilitates predictive modeling and rational design across a wide range of scientific disciplines. Cancer is a lethal disease characterized by the uncontrolled growth and spread of abnormal cells. This study aims to develop regression models for predicting physicochemical properties of novel anti-cancer drugs targeting blood and skin cancers. Utilizing distance-based indices, we construct models based on the structural properties of drug compounds. Comparative analysis with existing QSPR models employing degree and reverse degree parameters demonstrates significantly enhanced predictive capabilities of our proposed models.
{"title":"Structural analysis of anti-cancer drug compounds using distance-based molecular descriptors and regression models","authors":"A. Berin Greeni, Micheal Arockiaraj, S. Gajavalli, Tariq Aziz, Metab Alharbi","doi":"10.1140/epje/s10189-025-00481-8","DOIUrl":"10.1140/epje/s10189-025-00481-8","url":null,"abstract":"<p>Molecular descriptors encapsulate the key structural information of molecules, which is crucial for elucidating molecular behaviors. They have proven invaluable in quantitative structure–property relationship (QSPR) analysis. Such studies involve rigorous scientific investigations into the relationship between molecular structure and diverse physicochemical properties, revealing the underlying principles governing structure–property correlations. This facilitates predictive modeling and rational design across a wide range of scientific disciplines. Cancer is a lethal disease characterized by the uncontrolled growth and spread of abnormal cells. This study aims to develop regression models for predicting physicochemical properties of novel anti-cancer drugs targeting blood and skin cancers. Utilizing distance-based indices, we construct models based on the structural properties of drug compounds. Comparative analysis with existing QSPR models employing degree and reverse degree parameters demonstrates significantly enhanced predictive capabilities of our proposed models.\u0000</p>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"48 4-5","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143830758","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 : 2025-04-07DOI: 10.1140/epje/s10189-025-00480-9
Junwen Wang, Shengfeng Cheng
A compact analytical form is derived through an integration approach for the interaction between a sphere and a thin rod of finite and infinite lengths, with each object treated as a continuous medium of material points interacting by the Lennard-Jones 12-6 potential and the total interaction potential as a summation of the pairwise potential between material points on the two objects. Expressions for the resultant force and torque are obtained. Various asymptotic limits of the analytical sphere–rod potential are discussed. The integrated potential is applied to investigate the adhesion between a sphere and a thin rod. When the rod is sufficiently long and the sphere sufficiently large, the equilibrium separation between the two (defined as the distance from the center of the sphere to the axis of the rod) is found to be well approximated as (a+0.787sigma ), where a is the radius of the sphere and (sigma ) is the unit of length of the Lennard–Jones potential. Furthermore, the adhesion between the two is found to scale with (sqrt{a}).
通过积分法得出了球体与有限长度和无限长度细杆之间相互作用的简洁分析形式,每个物体都被视为由通过伦纳德-琼斯 12-6 势相互作用的材料点组成的连续介质,总的相互作用势是两个物体上材料点之间成对势能的总和。得出了结果力和扭矩的表达式。讨论了分析球杆势的各种渐近极限。将积分势应用于研究球体和细杆之间的粘附。当杆足够长而球体足够大时,发现两者之间的平衡分离(定义为球体中心到杆轴线的距离)近似为(a+0.787sigma ),其中 a 是球体的半径,(sigma )是伦纳德-琼斯势的长度单位。此外,我们还发现两者之间的粘附力与(sqrt{a})成比例。
{"title":"Analytical sphere–thin rod interaction potential","authors":"Junwen Wang, Shengfeng Cheng","doi":"10.1140/epje/s10189-025-00480-9","DOIUrl":"10.1140/epje/s10189-025-00480-9","url":null,"abstract":"<p>A compact analytical form is derived through an integration approach for the interaction between a sphere and a thin rod of finite and infinite lengths, with each object treated as a continuous medium of material points interacting by the Lennard-Jones 12-6 potential and the total interaction potential as a summation of the pairwise potential between material points on the two objects. Expressions for the resultant force and torque are obtained. Various asymptotic limits of the analytical sphere–rod potential are discussed. The integrated potential is applied to investigate the adhesion between a sphere and a thin rod. When the rod is sufficiently long and the sphere sufficiently large, the equilibrium separation between the two (defined as the distance from the center of the sphere to the axis of the rod) is found to be well approximated as <span>(a+0.787sigma )</span>, where <i>a</i> is the radius of the sphere and <span>(sigma )</span> is the unit of length of the Lennard–Jones potential. Furthermore, the adhesion between the two is found to scale with <span>(sqrt{a})</span>.</p>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"48 4-5","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epje/s10189-025-00480-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793158","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 : 2025-04-07DOI: 10.1140/epje/s10189-025-00477-4
Samuel Tovey, Christoph Lohrmann, Tobias Merkt, David Zimmer, Konstantin Nikolaou, Simon Koppenhöfer, Anna Bushmakina, Jonas Scheunemann, Christian Holm
This work introduces SwarmRL, a Python package designed to study intelligent active particles. SwarmRL provides an easy-to-use interface for developing models to control microscopic colloids using classical control and deep reinforcement learning approaches. These models may be deployed in simulations or real-world environments under a common framework. We explain the structure of the software and its key features and demonstrate how it can be used to accelerate research. With SwarmRL, we aim to streamline research into micro-robotic control while bridging the gap between experimental and simulation-driven sciences. SwarmRL is available open-source on GitHub at https://github.com/SwarmRL/SwarmRL.
{"title":"SwarmRL: building the future of smart active systems","authors":"Samuel Tovey, Christoph Lohrmann, Tobias Merkt, David Zimmer, Konstantin Nikolaou, Simon Koppenhöfer, Anna Bushmakina, Jonas Scheunemann, Christian Holm","doi":"10.1140/epje/s10189-025-00477-4","DOIUrl":"10.1140/epje/s10189-025-00477-4","url":null,"abstract":"<div><p>This work introduces <span>SwarmRL</span>, a Python package designed to study intelligent active particles. <span>SwarmRL</span> provides an easy-to-use interface for developing models to control microscopic colloids using classical control and deep reinforcement learning approaches. These models may be deployed in simulations or real-world environments under a common framework. We explain the structure of the software and its key features and demonstrate how it can be used to accelerate research. With <span>SwarmRL</span>, we aim to streamline research into micro-robotic control while bridging the gap between experimental and simulation-driven sciences. <span>SwarmRL</span> is available open-source on GitHub at https://github.com/SwarmRL/SwarmRL.</p></div>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"48 4-5","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epje/s10189-025-00477-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793159","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 : 2025-03-28DOI: 10.1140/epje/s10189-025-00475-6
Emanuela Bianchi, Kyongok Kang
The topical issue titled “Charged Species in Bulk and at Interfaces: Interaction, Mobility, Transport, and Regulation” is based on contributions from speakers at three CECAM workshops held in 2016, 2018, and 2022. In addition, this editorial is also intended to express our sincere appreciation to our senior co-organizers, Prof. Jan K. G. Dhont (FZJ, Germany) and Prof. Gerhard Kahl (TU Wien, Austria), for their invaluable contributions.
{"title":"Editorial on the topical issue of charged species in bulk and at interfaces","authors":"Emanuela Bianchi, Kyongok Kang","doi":"10.1140/epje/s10189-025-00475-6","DOIUrl":"10.1140/epje/s10189-025-00475-6","url":null,"abstract":"<p>The topical issue titled “Charged Species in Bulk and at Interfaces: Interaction, Mobility, Transport, and Regulation” is based on contributions from speakers at three CECAM workshops held in 2016, 2018, and 2022. In addition, this editorial is also intended to express our sincere appreciation to our senior co-organizers, Prof. Jan K. G. Dhont (FZJ, Germany) and Prof. Gerhard Kahl (TU Wien, Austria), for their invaluable contributions.</p>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"48 2","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11953076/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143735607","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 : 2025-03-05DOI: 10.1140/epje/s10189-025-00478-3
Weihua Mu, Hui Sun, Lina Cao
This study extends the Lucas–Washburn theory through non-equilibrium thermodynamic analysis to examine fluid absorption in medical foams used for hemorrhage control. As a universal model for capillary flow in porous media, the theory demonstrated strong agreement with experimental results, confirming its semi-quantitative accuracy. Minor deviations, likely due to material heterogeneity, were observed and explained, enhancing the theory’s applicability to real-world conditions. Our findings underscore the universality of the Lucas–Washburn framework and provide valuable insights for optimizing the design of medical foams, ultimately contributing to more effective bleeding control solutions in clinical applications.
{"title":"Water absorption dynamics in medical foam: empirical validation of the Lucas–Washburn model","authors":"Weihua Mu, Hui Sun, Lina Cao","doi":"10.1140/epje/s10189-025-00478-3","DOIUrl":"10.1140/epje/s10189-025-00478-3","url":null,"abstract":"<p>This study extends the Lucas–Washburn theory through non-equilibrium thermodynamic analysis to examine fluid absorption in medical foams used for hemorrhage control. As a universal model for capillary flow in porous media, the theory demonstrated strong agreement with experimental results, confirming its semi-quantitative accuracy. Minor deviations, likely due to material heterogeneity, were observed and explained, enhancing the theory’s applicability to real-world conditions. Our findings underscore the universality of the Lucas–Washburn framework and provide valuable insights for optimizing the design of medical foams, ultimately contributing to more effective bleeding control solutions in clinical applications.</p>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"48 2","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epje/s10189-025-00478-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143555584","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 : 2025-03-04DOI: 10.1140/epje/s10189-024-00466-z
Michael te Vrugt, Raphael Wittkowski
In the past years, the amount of research on active matter has grown extremely rapidly, a fact that is reflected in particular by the existence of more than 1000 reviews on this topic. Moreover, the field has become very diverse, ranging from theoretical studies of the statistical mechanics of active particles to applied work on medical applications of microrobots and from biological systems to artificial swimmers. This makes it very difficult to get an overview over the field as a whole. Here, we provide such an overview in the form of a metareview article that surveys the existing review articles and books on active matter. Thereby, this article provides a useful starting point for finding literature about a specific topic.
{"title":"Metareview: a survey of active matter reviews","authors":"Michael te Vrugt, Raphael Wittkowski","doi":"10.1140/epje/s10189-024-00466-z","DOIUrl":"10.1140/epje/s10189-024-00466-z","url":null,"abstract":"<p>In the past years, the amount of research on active matter has grown extremely rapidly, a fact that is reflected in particular by the existence of more than 1000 reviews on this topic. Moreover, the field has become very diverse, ranging from theoretical studies of the statistical mechanics of active particles to applied work on medical applications of microrobots and from biological systems to artificial swimmers. This makes it very difficult to get an overview over the field as a whole. Here, we provide such an overview in the form of a metareview article that surveys the existing review articles and books on active matter. Thereby, this article provides a useful starting point for finding literature about a specific topic.</p>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"48 2","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epje/s10189-024-00466-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143539887","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 : 2025-02-27DOI: 10.1140/epje/s10189-025-00476-5
Helmut R. Brand, Harald Pleiner
We analyze the macroscopic dynamics of antiferroelectric smectic (Z_textrm{A}) and antiferromagnetic smectic (Z_textrm{M}) liquid crystals. The smectic (Z_textrm{A}) phase is characterized by antiferroelectric order in one direction in the planes of the smectic layers giving rise to an orthogonal biaxial overall symmetry without polar direction. Thus in sufficiently thick (bulk) samples without externally applied electric fields, globally (D_{2h}) symmetry results. Therefore, the macroscopic dynamics of the smectic (Z_textrm{A}) is isomorphic to that of the McMillan phase and one can take over the corresponding results in the field-free limit. This also applies to the defect structure in the sense that one can expect the appearance of half-integer defects as they have also been observed for the McMillan phase. Based on the fact that ferromagnetic nematic liquid crystals are known for about a decade, it seems natural to investigate the antiferromagnetic analog of the smectic (Z_textrm{A}) phase, which we denote as (Z_textrm{M}) in the present paper. In this phase, one also has an in-plane preferred direction, which is, however, not like a director in an ordinary nematic, but odd under time reversal. It can be characterized by a staggered magnetization, ({varvec{N}}), just as in a solid antiferromagnet like MnO. As additional macroscopic variables when compared to a usual non-polar smectic A phase, we have the in-plane staggered magnetization and the magnetization ({varvec{M}}). As a consequence, we find that spin waves (frequently called anti-magnons in solids) become possible. Therefore, we have for the antiferromagnetic smectic phase, (Z_textrm{M}), three pairs of propagating modes: first and ‘second’ sound as in usual smectic A phases and one pair of spin waves. The coupling between ‘second’ sound and spin waves is also analyzed leading to the possibility to excite spin waves by dynamic layer compressions and, vice versa, to generate ‘second’ sound by temporally varying magnetic fields. We note, however, that without additional mechanical or magnetic deformations, the coupling between spin waves on the one hand and first and second sound on the other is a higher order effect in the wave vector (textbf{q} ). We also analyze the question of antiferroelectricity and antiferromagnetism for nematic liquid crystals.
{"title":"Macroscopic dynamics of the antiferroelectric smectic (Z_textrm{A}) phase and its magnetic analog (Z_textrm{M})","authors":"Helmut R. Brand, Harald Pleiner","doi":"10.1140/epje/s10189-025-00476-5","DOIUrl":"10.1140/epje/s10189-025-00476-5","url":null,"abstract":"<p>We analyze the macroscopic dynamics of antiferroelectric smectic <span>(Z_textrm{A})</span> and antiferromagnetic smectic <span>(Z_textrm{M})</span> liquid crystals. The smectic <span>(Z_textrm{A})</span> phase is characterized by antiferroelectric order in one direction in the planes of the smectic layers giving rise to an orthogonal biaxial overall symmetry without polar direction. Thus in sufficiently thick (bulk) samples without externally applied electric fields, globally <span>(D_{2h})</span> symmetry results. Therefore, the macroscopic dynamics of the smectic <span>(Z_textrm{A})</span> is isomorphic to that of the McMillan phase and one can take over the corresponding results in the field-free limit. This also applies to the defect structure in the sense that one can expect the appearance of half-integer defects as they have also been observed for the McMillan phase. Based on the fact that ferromagnetic nematic liquid crystals are known for about a decade, it seems natural to investigate the antiferromagnetic analog of the smectic <span>(Z_textrm{A})</span> phase, which we denote as <span>(Z_textrm{M})</span> in the present paper. In this phase, one also has an in-plane preferred direction, which is, however, not like a director in an ordinary nematic, but odd under time reversal. It can be characterized by a staggered magnetization, <span>({varvec{N}})</span>, just as in a solid antiferromagnet like <i>MnO</i>. As additional macroscopic variables when compared to a usual non-polar smectic <i>A</i> phase, we have the in-plane staggered magnetization and the magnetization <span>({varvec{M}})</span>. As a consequence, we find that spin waves (frequently called anti-magnons in solids) become possible. Therefore, we have for the antiferromagnetic smectic phase, <span>(Z_textrm{M})</span>, three pairs of propagating modes: first and ‘second’ sound as in usual smectic <i>A</i> phases and one pair of spin waves. The coupling between ‘second’ sound and spin waves is also analyzed leading to the possibility to excite spin waves by dynamic layer compressions and, vice versa, to generate ‘second’ sound by temporally varying magnetic fields. We note, however, that without additional mechanical or magnetic deformations, the coupling between spin waves on the one hand and first and second sound on the other is a higher order effect in the wave vector <span>(textbf{q} )</span>. We also analyze the question of antiferroelectricity and antiferromagnetism for nematic liquid crystals.</p>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"48 2","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epje/s10189-025-00476-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513324","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}
The inverse sum indeg index of a given graph G is symbolized with ISI and defined by sum of the weights (frac{d_u d_v}{d_u + d_v}) entire links (uvin G). We denote (d_u) (resp. (d_v)) the degree of a vertex u (resp. v) of G. In this paper, we obtained the sharp lower bound of tricyclic graphs with respect to the ISI index of order (ngeqslant 6) with size (n + 2). By using atoms as vertices and chemical bonds as edges, graph theory permits the representation of molecular structures as mathematical entities called graphs. Based on the above concept, we formulated the ISI index of octane isomers (OI) and benzenoid hydrocarbons (BH) and compared the values of ISI index with various degree-based TI’s via their correlations and chemical properties. The structural analysis of octane isomers is an important application of this research, as the ISI index delivers insights into stability designs across various isomeric forms.
{"title":"The sharp lower bound of tricyclic graphs with respect to the ISI index: applications in octane isomers and benzenoid hydrocarbons","authors":"Qun Zhang, Shahid Zaman, Asad Ullah, Parvez Ali, Emad E. Mahmoud","doi":"10.1140/epje/s10189-025-00474-7","DOIUrl":"10.1140/epje/s10189-025-00474-7","url":null,"abstract":"<p>The inverse sum indeg index of a given graph <i>G</i> is symbolized with <i>ISI</i> and defined by sum of the weights <span>(frac{d_u d_v}{d_u + d_v})</span> entire links <span>(uvin G)</span>. We denote <span>(d_u)</span> (resp. <span>(d_v)</span>) the degree of a vertex <i>u</i> (resp. <i>v</i>) of <i>G</i>. In this paper, we obtained the sharp lower bound of tricyclic graphs with respect to the ISI index of order <span>(ngeqslant 6)</span> with size <span>(n + 2)</span>. By using atoms as vertices and chemical bonds as edges, graph theory permits the representation of molecular structures as mathematical entities called graphs. Based on the above concept, we formulated the <i>ISI</i> index of octane isomers (OI) and benzenoid hydrocarbons (BH) and compared the values of <i>ISI</i> index with various degree-based TI’s via their correlations and chemical properties. The structural analysis of octane isomers is an important application of this research, as the ISI index delivers insights into stability designs across various isomeric forms.</p>","PeriodicalId":790,"journal":{"name":"The European Physical Journal E","volume":"48 2","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108285","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 : 2025-02-01DOI: 10.1140/epje/s10189-025-00473-8
Guanghao Li, Gongbo Li, Xin Fang, Guijie Liu
The energy carried by underwater vehicles is primarily employed to overcome water resistance. Reducing resistance can significantly enhance the speed and endurance of underwater vehicles. This study draws inspiration from biomimicry principles and proposes a novel drag reduction method inspired by the structural dynamics of fish schools. Building upon the structure of fish school, a collective model of streamlined forms is established. These streamlined collective models are arranged on a plane, and the study investigates the impact of various streamlined collective structures on planar resistance. By changing the spacing of the streamline collective model and flow field velocity, the drag reduction rules of different models at different flow rates are obtained. Through flow field analysis, the mechanism through which streamlined collective models achieve drag reduction on a flat surface is revealed. The research indicates that the streamlined collective models reduce total resistance by diminishing the viscous drag on the flat plate. The drag reduction effect generally decreases and then increases as the lateral spacing of the streamlined collective model increases. The maximum drag reduction rate can reach up to 8.63%. This study provides a novel approach for drag reduction in underwater vehicles, paving the way for further exploration and application development in this field.
Graphical abstract
{"title":"Numerical simulation study on drag reduction performance of streamline collective model on plane","authors":"Guanghao Li, Gongbo Li, Xin Fang, Guijie Liu","doi":"10.1140/epje/s10189-025-00473-8","DOIUrl":"10.1140/epje/s10189-025-00473-8","url":null,"abstract":"<div><p>The energy carried by underwater vehicles is primarily employed to overcome water resistance. Reducing resistance can significantly enhance the speed and endurance of underwater vehicles. This study draws inspiration from biomimicry principles and proposes a novel drag reduction method inspired by the structural dynamics of fish schools. Building upon the structure of fish school, a collective model of streamlined forms is established. These streamlined collective models are arranged on a plane, and the study investigates the impact of various streamlined collective structures on planar resistance. By changing the spacing of the streamline collective model and flow field velocity, the drag reduction rules of different models at different flow rates are obtained. Through flow field analysis, the mechanism through which streamlined collective models achieve drag reduction on a flat surface is revealed. The research indicates that the streamlined collective models reduce total resistance by diminishing the viscous drag on the flat plate. The drag reduction effect generally decreases and then increases as the lateral spacing of the streamlined collective model increases. The maximum drag reduction rate can reach up to 8.63%. This study provides a novel approach for drag reduction in underwater vehicles, paving the way for further exploration and application development in this field.</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":"48 2","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143073431","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}