Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.024310
Krishnadas Mohandas, Krzysztof Suchecki, Janusz A Hołyst
{"title":"Paradise-disorder transition in structural balance dynamics on Erdös-Rényi graphs.","authors":"Krishnadas Mohandas, Krzysztof Suchecki, Janusz A Hołyst","doi":"10.1103/PhysRevE.111.024310","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024310","url":null,"abstract":"<p><p>Structural balance has been posited as one of the factors influencing how friendly and hostile relations of social actors evolve over time. This study investigates the behavior of the Heider balance model in Erdös-Rényi random graphs in the presence of a noisy environment, particularly the transition from an initially entirely positively polarized paradise state to a disordered phase. We examine both single-layer and bilayer network configurations and provide a mean-field solution for the average link polarization that predicts a first-order transition where the critical temperature scales with the connection probability p as p^{2} for a monolayer system and in a more complex way for a bilayer. We show that, to mimic the dynamics observed in complete graphs, the intralayer Heider interaction strengths should be scaled as p^{-2}, while the interlayer interaction strengths should be scaled as p^{-1} for random graphs. Numerical simulations have been performed, and their results confirm our analytical predictions, provided that graphs are dense enough.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024310"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659156","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 : 2025-02-01DOI: 10.1103/PhysRevE.111.024312
Anna Gallo, Fabio Saracco, Renaud Lambiotte, Diego Garlaschelli, Tiziano Squartini
{"title":"Patterns of link reciprocity in directed, signed networks.","authors":"Anna Gallo, Fabio Saracco, Renaud Lambiotte, Diego Garlaschelli, Tiziano Squartini","doi":"10.1103/PhysRevE.111.024312","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024312","url":null,"abstract":"<p><p>Most of the analyses concerning signed networks have focused on balance theory, hence identifying frustration with undirected, triadic motifs having an odd number of negative edges; much less attention has been paid to their directed counterparts. To fill this gap, we focus on signed, directed connections, with the aim of exploring the notion of frustration in such a context. When dealing with signed, directed edges, frustration is a multifaceted concept, admitting different definitions at different scales: if we limit ourselves to consider cycles of length 2, frustration is related to reciprocity, i.e., the tendency of edges to admit the presence of partners pointing in the opposite direction. As the reciprocity of signed networks is still poorly understood, we adopt a principled approach for its study, defining quantities and introducing models to consistently capture empirical patterns of the kind. In order to quantify the tendency of empirical networks to form either mutualistic or antagonistic cycles of length 2, we extend the exponential random graph framework to binary, directed, signed networks with global and local constraints and then compare the empirical abundance of the aforementioned patterns with the one expected under each model. We find that the (directed extension of the) balance theory is not capable of providing a consistent explanation of the patterns characterizing the directed, signed networks considered in this work. Although part of the ambiguities can be solved by adopting a coarser definition of balance, our results call for a different theory, accounting for the directionality of edges in a coherent manner. In any case, the evidence that the empirical, signed networks can be highly reciprocated leads us to recommend to explicitly account for the role played by bidirectional dyads in determining frustration at higher levels (e.g., the triadic one).</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024312"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659157","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 : 2025-02-01DOI: 10.1103/PhysRevE.111.L022102
Prashant Singh, Karel Proesmans
{"title":"Limits to positional information in boundary-driven systems.","authors":"Prashant Singh, Karel Proesmans","doi":"10.1103/PhysRevE.111.L022102","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.L022102","url":null,"abstract":"<p><p>Chemical gradients can be used by a particle to determine its position. This positional information is of crucial importance, for example, in developmental biology in the formation of patterns in an embryo. The central goal of this paper is to study the fundamental physical limits on how much positional information can be stored inside a system. To achieve this, we study positional information for boundary-driven systems, and derive, in the near-equilibrium regime, a universal expression involving only the chemical potential and density gradients of the system. We also conjecture that this expression serves as an upper bound on the positional information of boundary-driven systems beyond linear response. To support this claim, we test it on a broad range of solvable boundary-driven systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2","pages":"L022102"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659179","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":"Hydrodynamics of a hard-core active lattice gas.","authors":"Ritwik Mukherjee, Soumyabrata Saha, Tridib Sadhu, Abhishek Dhar, Sanjib Sabhapandit","doi":"10.1103/PhysRevE.111.024128","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024128","url":null,"abstract":"<p><p>We present a fluctuating hydrodynamic description of an active lattice gas model with excluded volume interactions that exhibits motility-induced phase separation under appropriate conditions. For quasi-one-dimension and higher, stability analysis of the noiseless hydrodynamics gives quantitative bounds on the phase boundary of the motility-induced phase separation in terms of spinodal and binodal. Inclusion of the multiplicative noise in the fluctuating hydrodynamics describes the exponentially decaying two-point correlations in the stationary-state homogeneous phase. Our hydrodynamic description and theoretical predictions based on it are in excellent agreement with our Monte Carlo simulations and pseudospectral iteration of the hydrodynamics equations. Our construction of hydrodynamics for this model is not suitable in strictly one dimension with single-file constraints, and we argue that this breakdown is associated with microphase separation.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024128"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659188","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 : 2025-02-01DOI: 10.1103/PhysRevE.111.024402
Amin Safaeesirat, Hoda Taeb, Emirhan Tekoglu, Tunc Morova, Nathan A Lack, Eldon Emberly
{"title":"Inference of transcriptional regulation from STARR-seq data.","authors":"Amin Safaeesirat, Hoda Taeb, Emirhan Tekoglu, Tunc Morova, Nathan A Lack, Eldon Emberly","doi":"10.1103/PhysRevE.111.024402","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024402","url":null,"abstract":"<p><p>One of the primary regulatory processes in cells is transcription, during which RNA polymerase II (Pol-II) transcribes DNA into RNA. The binding of Pol-II to its site is regulated through interactions with transcription factors (TFs) that bind to DNA at enhancer cis-regulatory elements. Measuring the enhancer activity of large libraries of distinct DNA sequences is now possible using massively parallel reporter assays (MPRAs), and computational methods have been developed to identify the dominant statistical patterns of TF binding within these large datasets. Such methods are global in their approach and may overlook important regulatory sites that function only within the local context. Here we introduce a method for inferring functional regulatory sites (their number, location, and width) within an enhancer sequence based on measurements of its transcriptional activity from an MPRA method such as STARR-seq. The model is based on a mean-field thermodynamic description of Pol-II binding that includes interactions with bound TFs. Our method applied to simulated STARR-seq data for a variety of enhancer architectures shows how data quality impacts the inference and also how it can find local regulatory sites that may be missed in a global approach. We also apply the method to recently measured STARR-seq data on androgen receptor (AR) bound sequences, a TF that plays an important role in the regulation of prostate cancer. The method identifies key regulatory sites within these sequences, which are found to overlap with binding sites of known coregulators of AR.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024402"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659204","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 : 2025-02-01DOI: 10.1103/PhysRevE.111.025206
B Arnold, J Daligault, D Saumon, Antoine Bédard, S X Hu
{"title":"Crystal nucleation rates in one-component Yukawa systems.","authors":"B Arnold, J Daligault, D Saumon, Antoine Bédard, S X Hu","doi":"10.1103/PhysRevE.111.025206","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025206","url":null,"abstract":"<p><p>Nucleation in the supercooled Yukawa system is relevant for addressing current challenges in understanding a range of crystallizing systems including white dwarf (WD) stars. We use both brute force and seeded molecular dynamics simulations to study homogeneous nucleation of crystals from supercooled Yukawa liquids. With our improved approach to seeded simulations, we obtain quantitative predictions of the crystal nucleation rate and cluster size distributions as a function of temperature and screening length. These quantitative results show trends towards fast nucleation with short-ranged potentials. They also indicate that for temperatures T>0.9T_{m}, where T_{m} is the melt temperature, classical homogeneous nucleation is too slow to initiate crystallization but transient clusters of ∼100 particles should be common. We apply these general results to a typical WD model and obtain a delay of ∼0.6 Gyr in the onset of crystallization that may be observable.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025206"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659214","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 : 2025-02-01DOI: 10.1103/PhysRevE.111.024130
Mateusz Wiśniewski, Jakub Spiechowicz
{"title":"Memory-induced current reversal of Brownian motors.","authors":"Mateusz Wiśniewski, Jakub Spiechowicz","doi":"10.1103/PhysRevE.111.024130","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024130","url":null,"abstract":"<p><p>The kinetics of biological motors such as kinesin or dynein is notably influenced by a viscoelastic intracellular environment. The characteristic relaxation time of the cytosol is not separable from the colloidal timescale and therefore their dynamics is inherently non-Markovian. In this paper, we consider a variant of a Brownian motor model, namely, a Brownian ratchet immersed in a correlated thermal bath, and we analyze how memory influences its dynamics. In particular, we demonstrate the memory-induced current reversal effect and explain this phenomenon by applying the effective mass approximation as well as uncovering the memory-induced dynamical localization of the motor trajectories in the phase space. Our results reveal new aspects of the role of memory in microscopic systems out of thermal equilibrium.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024130"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659232","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 : 2025-02-01DOI: 10.1103/PhysRevE.111.024204
Yoshiyuki Y Yamaguchi
{"title":"Stabilization of a transition state by excited vibration and impact on the reaction rate in the three-body Lennard-Jones system.","authors":"Yoshiyuki Y Yamaguchi","doi":"10.1103/PhysRevE.111.024204","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024204","url":null,"abstract":"<p><p>The three-body Lennard-Jones system on the plane has a transition state, which is the straight conformation located at a saddle point of the potential-energy landscape. We show that the transition state can be dynamically stabilized by excited vibration of particle distances. The stabilization mechanism is explained theoretically and is verified by performing molecular dynamics simulations. We also examine whether the dynamical stabilization gives an impact on the reaction rate between the two isomers of equilateral triangle conformations by comparing with the transition-state theory.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024204"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659277","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 : 2025-02-01DOI: 10.1103/PhysRevE.111.024403
Denni Currin-Ross, Sami C Al-Izzi, Ivar Noordstra, Alpha S Yap, Richard G Morris
{"title":"Advecting scaffolds: Controlling the remodeling of actomyosin with anillin.","authors":"Denni Currin-Ross, Sami C Al-Izzi, Ivar Noordstra, Alpha S Yap, Richard G Morris","doi":"10.1103/PhysRevE.111.024403","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024403","url":null,"abstract":"<p><p>We propose and analyze an active hydrodynamic theory that characterizes the effects of the scaffold protein anillin. Anillin is found at major sites of cortical activity, such as adherens junctions and the cytokinetic furrow, where the canonical regulator of actomyosin remodeling is the small GTPase, RhoA. RhoA acts via intermediary \"effectors\" to increase both the rates of activation of myosin motors and the polymerization of actin filaments. Anillin has been shown to scaffold this action of RhoA-improving critical rates in the signaling pathway without altering the essential biochemistry-but its contribution to the wider spatiotemporal organization of the cortical cytoskeleton remains poorly understood. Here we combine analytics and numerics to show how anillin can nontrivially regulate the cytoskeleton at hydrodynamic scales. At short times, anillin can amplify or dampen existing contractile instabilities, as well as alter the parameter ranges over which they occur. At long times, it can change both the size and speed of steady-state traveling pulses. The primary mechanism that underpins these behaviors is established to be the advection of anillin by myosin II motors, with the specifics relying on the values of two coupling parameters. These codify anillin's effect on local signaling kinetics and can be traced back to its interaction with the acidic phospholipid phosphatidylinositol 4,5-bisphosphate (PIP_{2}), thereby establishing a putative connection between actomyosin remodeling and membrane composition.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024403"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659309","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 : 2025-02-01DOI: 10.1103/PhysRevE.111.024124
Shuting Wang, Hui Xia
{"title":"Emergence in kinetic roughening with long-range temporal correlations.","authors":"Shuting Wang, Hui Xia","doi":"10.1103/PhysRevE.111.024124","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024124","url":null,"abstract":"<p><p>The role of long-range temporal correlations in kinetic roughening processes is significant, potentially influencing surface morphologies and dynamic scaling properties. This type of correlation, acting as a nonlocal interaction during growth processes, disrupts the self-affine fractal structure by causing the emergence of nontrivial global properties from individual local interactions. In this work, two typical discrete growth models, including random deposition and ballistic deposition, are investigated numerically in the presence of long-range temporal correlations. Two quantitative measurement methods, the Hellinger distance and the novelty detection, are used independently to determine whether emergence occurs. Our simulation results indicate that, above a critical threshold of temporal correlation exponent, the systems exhibit emergence behavior, consistent with the existence of nontrivial scaling properties and surface morphologies when long-range temporal correlations are presented.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024124"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143657942","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}