{"title":"Surprisingly high probability of evaporation for a molecule passing through the Knudsen layer.","authors":"E S Benilov","doi":"10.1103/PhysRevE.111.044116","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044116","url":null,"abstract":"<p><p>The most important characteristics of the Knudsen layer are the temperature jump ΔT between the liquid and vapor and the probability θ_{K} that a molecule, emitted by the liquid into the vapor, reaches infinity (as opposed to bouncing back due to collisions). In the present paper, the linearized Bhatnagar-Gross-Krook model is used to calculate ΔT and θ_{K} and show that, in the absence of macroscopic gradients of temperature and density, θ_{K}≈96.3%. It is then examined how ΔT and θ_{K} are affected by a combination of a temperature gradient (heat flux) and the matching density gradient, such that the resulting pressure field is uniform.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044116"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136619","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
{"title":"Exact moments for a run-and-tumble particle with a finite tumble time in a harmonic trap.","authors":"Aoran Sun, Fangfu Ye, Rudolf Podgornik","doi":"10.1103/PhysRevE.111.044136","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044136","url":null,"abstract":"<p><p>We study the problem of a run-and-tumble particle in a harmonic trap, with a finite run-and-tumble time, by direct integration of the equation of motion. An exact one-dimensional steady state distribution is obtained. Diagram laws and a programmable Volterra difference equation are derived to calculate any order of moments in any dimension, both for the steady state as well as the time Laplace transform for the intermediate states. We finally infer the complete distribution from the moments by considering a Gaussian quadrature for the corresponding measure and from the scaling law of higher order moments.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044136"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144135877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
{"title":"Time-series thresholding and avalanche dynamics in networks of the critical branching process.","authors":"Lei Tao, Sheng-Jun Wang, Zi-Gang Huang","doi":"10.1103/PhysRevE.111.044129","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044129","url":null,"abstract":"<p><p>Avalanche sizes and durations following power-law distributions are observed in many systems and are considered hallmarks of criticality. Time-series thresholding is a commonly used method to define avalanches, but this method is controversial. In this study, we use the time-series thresholding method to define avalanches and investigate the statistical properties of avalanches in the Kinouchi-Copelli (KC) model. We consider two definitions of avalanche size, (1) total area above threshold value reference and (2) total area above zero, and then analyze the size and duration distributions. Our results show that while avalanche size and duration obey a power-law distribution, the exponents of size and duration differ from those of the critical branching process. The scaling relation holds for avalanches defined by the first method but fails for those avalanches tdefined by the second. This study provides new insights into avalanche definition methods and avalanche distribution exponents in continuous time-series.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044129"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144135923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
{"title":"Frustration in the Ising model on a decorated square lattice.","authors":"F A Kassan-Ogly, A V Zarubin","doi":"10.1103/PhysRevE.111.044133","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044133","url":null,"abstract":"<p><p>In this paper, we performed the comprehensive studies of magnetic frustration properties in the Ising model on a decorated square lattice in the framework of an exact analytical approach based on the Kramers-Wannier transfer matrix method. The assigned challenge consisted in finding rigorous formulas for residual entropies of all possible cases of degeneration of the system without exception and also elucidating the influence of frustrations on the behavior of the thermodynamic functions of the system under discussion. The accomplished results turned out to be very rich and intricate, especially in comparison with the original undecorated square lattice, in which frustration properties are completely absent. Such an abundance of properties is due to the multiparametric problem of decorated lattice with four exchange interactions J_{x}, J_{y}, J_{dx}, and J_{dy} taking on arbitrary continuous values and different signs: positive (ferromagnetic) and negative (antiferromagnetic), as well as with two discrete variables d_{x} and d_{y} (multiplicities of decorating spins in both lattice directions), corresponding to infinite natural series of numbers.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044133"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136089","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Sebastian H Castedo, Joshua Holmes, Joseph W Baron, Tobias Galla
{"title":"Generalized correlations in disordered dynamical systems: Insights from the many-species Lotka-Volterra model.","authors":"Sebastian H Castedo, Joshua Holmes, Joseph W Baron, Tobias Galla","doi":"10.1103/PhysRevE.111.044202","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044202","url":null,"abstract":"<p><p>In the study of disordered systems, one often chooses a matrix of independent identically distributed interaction coefficients to represent the quenched random couplings between components, perhaps with some symmetry constraint or correlations between diagonally opposite pairs of elements. However, a more general set of couplings, which still preserves the statistical interchangeability of the components, could involve correlations between interaction coefficients sharing only a single row or column index. These correlations have been shown to arise naturally in systems such as the generalized Lotka-Volterra equations (gLVEs). In this work, we perform a dynamic mean-field analysis to understand how single-index correlations affect the dynamics and stability of disordered systems, taking the gLVEs as our example. We show that in-row correlations raise the level of noise in the mean-field process, even when the overall variance of the interaction coefficients is held constant. We also see that correlations between transpose pairs of rows and columns can either enhance or suppress feedback effects, depending on the sign of the correlation coefficient. In the context of the gLVEs, in-row and transpose row/column correlations thus affect both the species survival rate and the stability of ecological equilibria.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044202"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
{"title":"Hamiltonian control to desynchronize Kuramoto oscillators with higher-order interactions.","authors":"Martin Moriamé, Maxime Lucas, Timoteo Carletti","doi":"10.1103/PhysRevE.111.044307","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044307","url":null,"abstract":"<p><p>Synchronization is a ubiquitous phenomenon in nature. Although it is necessary for the functioning of many systems, too much synchronization can also be detrimental; e.g., (partially) synchronized brain patterns support high-level cognitive processes and bodily control, but hypersynchronization can lead to epileptic seizures and tremors, as in neurodegenerative conditions such as Parkinson's disease. Consequently, a critical research question is how to develop effective pinning control methods capable to reduce or modulate synchronization as needed. Although such methods exist to control pairwise-coupled oscillators, and pinning control for synchronization has been developed in higher-order systems in recent years, there are no desynchronizing control methods for higher-order interactions, despite the increasing evidence of their relevant role in brain dynamics. In this work, we fill this gap by proposing a generalized control method designed to desynchronize Kuramoto oscillators connected through higher-order interactions. Our method embeds a higher-order Kuramoto model into a suitable Hamiltonian flow, and builds upon previous work in Hamiltonian control theory to analytically construct a feedback control mechanism. We numerically show that the proposed method effectively prevents synchronization in synthetic and empirical higher-order networks. Although our findings indicate that pairwise contributions in the feedback loop are often sufficient, the higher-order generalization becomes crucial when pairwise coupling is weak. Finally, we explore the minimum number of controlled nodes required to fully desynchronize oscillators coupled via an all-to-all hypergraph.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044307"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136117","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Physical review. EPub Date : 2025-04-01DOI: 10.1103/PhysRevE.111.L042302
Jakub Kořenek, Pavel Sanda, Jaroslav Hlinka
{"title":"Higher order definition of causality by optimally conditioned transfer entropy.","authors":"Jakub Kořenek, Pavel Sanda, Jaroslav Hlinka","doi":"10.1103/PhysRevE.111.L042302","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.L042302","url":null,"abstract":"<p><p>The description of the dynamics of complex systems, in particular the capture of the interaction structure and causal relationships between elements of the system, is one of the central questions of interdisciplinary research. While the characterization of pairwise causal interactions is a relatively ripe field with established theoretical concepts and the current focus is on technical issues of their efficient estimation, it turns out that the standard concepts such as Granger causality or transfer entropy may not faithfully reflect possible synergies or interactions of higher orders, phenomena highly relevant for many real-world complex systems. In this paper, we propose a generalization and refinement of the information-theoretic approach to causal inference, enabling the description of truly multivariate, rather than multiple pairwise, causal interactions, and moving thus from causal networks to causal hypernetworks. In particular, while keeping the ability to control for mediating variables or common causes, in case of purely synergistic interactions such as the exclusive disjunction, it ascribes the causal role to the multivariate causal set but not to individual inputs, distinguishing it thus from the case of, e.g., two additive univariate causes. We demonstrate this concept by application to illustrative theoretical examples as well as a biophysically realistic simulation of biological neuronal dynamics recently reported to employ synergistic computations.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4","pages":"L042302"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
{"title":"Discrete-time walk on one-dimensional lattice under stochastic resetting: Advantage of quantum over classical scenario.","authors":"Przemysław Chełminiak, Jan Wójcik, Antoni Wójcik","doi":"10.1103/PhysRevE.111.044143","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044143","url":null,"abstract":"<p><p>We investigate the effect of stochastic restart/resetting on discrete-time quantum walks concerning its impact on the meantime to absorption in the walk on the one-dimensional lattice terminated by a pair of totally absorbing sites. The two distinguished sites also play the role of an apparatus that detects the moment of time when a quantum walk reaches these boundaries. Our results reveal a notable difference between the quantum walk and its classical counterpart. Specifically, we focus on instances of classical random walks in which stochastic resetting fails to reduce the meantime to absorption. Conversely, we show that stochastic resetting can be utilized to effectively diminish the meantime to absorption in the quantum version of this walk. We relate the observed difference between quantum and classical cases to the fact that restarting the quantum state not only changes position distribution but inevitably changes complementary quasimomentum distribution.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044143"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
{"title":"Electrostatic interaction of neutral particles on a dielectric substrate: A theoretical study via a multiple-image method and an effective-dipole approach.","authors":"Xin Li, Changhao Li, Xiangui Chen, Zaixin Wang, Sun Min, Decai Huang","doi":"10.1103/PhysRevE.111.045505","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.045505","url":null,"abstract":"<p><p>A multiple-image method is developed to accurately calculate the electrostatic interaction between neutral dielectric particles and a uniformly charged dielectric substrate. The difference in dielectric constants between the particle and the solvent medium leads to a reversal of polarization direction of the particle. The variance in dielectric constants between the solvent medium and the substrate causes a transition from attractive to repulsive forces between the particle and the substrate. A nonuniform electrostatic field is generated by the polarized charges on the substrate due to mutual induction. These characteristics of electrostatic manipulation determine whether particles are adsorbed onto the substrate or pushed away from it. The self-assembled particles tend to aggregate in a stable hexagonal structure on the substrate. These findings provide unique insights into self-assembly processes involving neutral particles on a dielectric substrate.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-2","pages":"045505"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
{"title":"Modularity with a more accurate baseline model.","authors":"Brian L Chang, Piet Van Mieghem","doi":"10.1103/PhysRevE.111.044317","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044317","url":null,"abstract":"<p><p>We derive an expression for the exact probability Pr[i∼j] of a link between a node i with degree d_{i} and a node j with degree d_{j} in a graph belonging to the class of Erdős-Rényi G(N,L) random graphs with N nodes and L links. The probability Pr[i∼j] is commonly approximated as d_{i}d_{j}/2L and appears in the formula of Newman's modularity, which plays a crucial rule in community detection in networks. We show that, when applied to graphs not belonging to the class of Erdős-Rényi random graphs, our formula for Pr[i∼j] is considerably more accurate than d_{i}d_{j}/2L and leads to the detection of different clusters or partitions than the original modularity formula.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044317"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136351","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}