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Crossover anomalies in frustrated two-dimensional Ising spin system with four-spin interaction.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.024117
Jozef Sznajd
{"title":"Crossover anomalies in frustrated two-dimensional Ising spin system with four-spin interaction.","authors":"Jozef Sznajd","doi":"10.1103/PhysRevE.111.024117","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024117","url":null,"abstract":"<p><p>As is well known, one-dimensional spin systems with short-range interactions cannot undergo a phase transition at finite temperature. However, in many 1D Ising spin models with frustration, at a certain crossover point, the thermodynamic quantities show anomalies that resemble such a transition W. Yin [Phys. Rev. Res. 6, 013331 (2024)2643-156410.1103/PhysRevResearch.6.013331]. Recently, Yin [Phys. Rev. Res. 6, 013331 (2024)2643-156410.1103/PhysRevResearch.6.013331] has shown, using decorated ladders as an example, that a one-dimensional Ising model can be arbitrarily close to the genuine phase transition. Using the transfer matrix method and real space renormalization group technique, we find that crossover resembling a phase transition accompanied by gigantic specific heat can also occur in two-dimensional systems. We consider coupled Ising spin chains with a zig-zag structure and a four-spin j_{4} interaction, which allows us to control the temperature at which the spins become unbound in the model with short-range interactions. The crossover point is defined by two parameters: the crossover temperature t=t^{*} and the crossover interaction j_{4}=j_{4}^{*}, and occurs when the temperature at which the effective interaction between the spin subsystems zeros out coincides with the temperature at which the spins become unbound. In systems in which a genuine phase transition occurs at the critical temperature t=t_{c}, there are two possibilities: if t_{c}>t^{*} the system undergoes a sequence of three phase transitions with a reentrant transition to disordered phase, while for t_{c}<t^{*} the phase transition is preceded by the considered crossover. We study the key role in the appearance of anomalies in the thermodynamic quantities of the four-spin interactions which are suspected to have a significant impact on the properties of magnetic two-dimensional lattices, but possible also on the construction of social systems modeling the phenomenon of social validation or peer pressure.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024117"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659538","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}
引用次数: 0
Numerical investigation of acoustic radiation force and microstreaming in a viscoelastic fluid.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.025102
Khemraj Gautam Kshetri, Andrew Cook, Nitesh Nama
{"title":"Numerical investigation of acoustic radiation force and microstreaming in a viscoelastic fluid.","authors":"Khemraj Gautam Kshetri, Andrew Cook, Nitesh Nama","doi":"10.1103/PhysRevE.111.025102","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025102","url":null,"abstract":"<p><p>We present a numerical model to study time-averaged acoustic radiation force and microstreaming around an elastic sphere immersed within an acoustically actuated viscoelastic fluid. We employ a perturbation approach to systematically identify limiting regimes where the viscoelastic fluid can be approximated as a purely viscous fluid at the acoustic and mean time scales. Unlike existing numerical models, we account for microstreaming and fluid elasticity contributions to the radiation force. We elucidate the inherent assumptions within reduced expressions considered in prior numerical models and highlight the divergence between the acoustic radiation force obtained from the reduced and general expressions. We also discuss numerical considerations to ensure the invariance of the acoustic radiation force with the choice of integration surface by recasting the time-averaged mass balance equation in terms of Stokes drift. Our results reveal that the acoustic radiation force exhibits a peak value for an optimal relaxation time, and both the peak acoustic radiation force and the optimal relaxation time increase with increasing polymer viscosity. The results also highlight the significant contribution of fluid elasticity to the radiation force and invalidate the previously employed reduced acoustic radiation force expressions for general viscoelastic regime.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025102"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659336","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}
引用次数: 0
Recovery towards self-similarity in Rayleigh-Taylor instability under stepwise and sinusoidal acceleration reversals.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.025107
Nicholas Pak, Elise Theriot, Denis Aslangil, Andrew Lawrie, Arindam Banerjee
{"title":"Recovery towards self-similarity in Rayleigh-Taylor instability under stepwise and sinusoidal acceleration reversals.","authors":"Nicholas Pak, Elise Theriot, Denis Aslangil, Andrew Lawrie, Arindam Banerjee","doi":"10.1103/PhysRevE.111.025107","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025107","url":null,"abstract":"<p><p>The dynamic properties of an interfacial flow between heavy and light incompressible fluids that are initially Rayleigh-Taylor unstable and are subjected to an external acceleration field oriented in opposition to the density gradient are studied. Rayleigh-Taylor instability occurs in nature with a constant acceleration driven by gravity. However, there are some engineering applications, such as high-energy-density processes observed in inertial and magnetic confined fusion capsules where the acceleration field is not constant. In those applications, Rayleigh-Taylor instability is known to evolve under time-varying acceleration profiles, a phenomenon also observed in supernova formation. Here, we perform implicit large-eddy simulations of density stratification under time-dependent acceleration profiles. Most earlier studies of Rayleigh-Taylor instability under variable acceleration have used a sequence of step functions to simulate acceleration reversals (accel-decel-accel). For the current study, we use a sinusoidal profile, which allows a smoother transition between acceleration and deceleration, and represents smooth transitions that occur in engineering and astrophysical applications. For various imposed acceleration profiles, we compare spatially averaged statistics of the evolving flow against a straightforward and widely utilized scaling, the double integral of acceleration. It will be shown here that this scaling allows distinction between the mean behaviors due to the stepwise and the smooth acceleration profiles and, importantly, that the flow tends to move towards self-similar evolution quicker when the acceleration profile is smoother.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025107"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659344","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}
引用次数: 0
Reexamining the supercritical bound of ion acoustic solitons.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.025204
Ian M DesJardin, Christine M Hartzell, Jonathan Wrieden
{"title":"Reexamining the supercritical bound of ion acoustic solitons.","authors":"Ian M DesJardin, Christine M Hartzell, Jonathan Wrieden","doi":"10.1103/PhysRevE.111.025204","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025204","url":null,"abstract":"<p><p>Ion acoustic solitons can be generated by a charged object immersed in an electrostatic quasineutral two-temperature plasma flow. These are often described by the forced Korteweg-de Vries equation. Two-fluid simulations of this scenario are conducted and compared to numerical solutions of the forced Korteweg-de Vries equation and theoretical predictions. As in forced Korteweg-de Vries theory, flow regimes are observed where either precursor or pinned solitons are generated depending on the background bulk velocity and debris size. However, the critical velocities that govern phase transitions from wakes to precursor and precursor to pinned solitons are found to differ substantially with precursor solitons being much more likely to be produced than previously thought. A theory is derived for the supercritical transition speed. These disagreements, in theory, have ramifications on the use of ion acoustic solitons to detect space debris.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025204"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659376","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}
引用次数: 0
Similarity learning with neural networks.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.025106
G Sanfins, F Ramos, D Naiff
{"title":"Similarity learning with neural networks.","authors":"G Sanfins, F Ramos, D Naiff","doi":"10.1103/PhysRevE.111.025106","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025106","url":null,"abstract":"<p><p>In this work, we introduce a neural network algorithm designed to automatically identify similarity relations from data. By uncovering these similarity relations, our network approximates the underlying physical laws that relate dimensionless quantities to their dimensionless variables and coefficients. Additionally, we develop a linear algebra framework, accompanied by code, to derive the symmetry groups associated with these similarity relations. While our approach is general, we illustrate its application through examples in fluid mechanics, including laminar Newtonian and non-Newtonian flows in smooth pipes, as well as turbulent flows in both smooth and rough pipes. Such examples are chosen to highlight the framework's capability to handle both simple and intricate cases, and further validate its effectiveness in discovering underlying physical laws from data.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025106"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659407","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}
引用次数: 0
Comparison of the clock, stochastic cutoff, and Tomita Monte Carlo methods in simulating the dipolar triangular lattice at criticality.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.025308
S Ismailzadeh, M D Niry
{"title":"Comparison of the clock, stochastic cutoff, and Tomita Monte Carlo methods in simulating the dipolar triangular lattice at criticality.","authors":"S Ismailzadeh, M D Niry","doi":"10.1103/PhysRevE.111.025308","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025308","url":null,"abstract":"<p><p>Magnetic nanostructures find application in diverse technological domains, and their behavior is significantly influenced by long-range dipolar interactions. However, simulating these systems using the traditional Metropolis Monte Carlo method poses high computational demand. Several methods, including the clock, stochastic cutoff, and Tomita approaches, can reduce the computational burden of simulating 2D systems with dipolar interactions. Although these three methods rely on distinct theoretical concepts, they all achieve complexity reduction by a common strategy. Instead of calculating the energy difference between a spin and all its neighbors, they evaluate the energy difference with only a limited number of randomly chosen neighbors. This is achieved through methods like the dynamic thinning and Fukui-Todo techniques. In this article, we compared the performance of the clock, SCO, Tomita, and Metropolis methods near the critical point of the dipolar triangular lattice to identify the most suitable algorithm for this type of simulation. Our findings show that while these methods are less suitable for simulating this system in their untuned implementation, incorporating the boxing near-neighbors method and overrelaxation moves makes them significantly more efficient and better suited than the Metropolis method with overrelaxation.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025308"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659031","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}
引用次数: 0
Hyperbolic random geometric graphs: Structural and spectral properties.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.024309
Kevin Peralta-Martinez, J A Méndez-Bermúdez, José M Sigarreta
{"title":"Hyperbolic random geometric graphs: Structural and spectral properties.","authors":"Kevin Peralta-Martinez, J A Méndez-Bermúdez, José M Sigarreta","doi":"10.1103/PhysRevE.111.024309","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024309","url":null,"abstract":"<p><p>In this paper we perform a thorough numerical study of structural and spectral properties of hyperbolic random geometric graphs (HRGs) G(n,ρ,α,ζ) by means of a random matrix theory (RMT) approach. HRGs are formed by distributing n nodes in a Poincaré disk of fixed radius ρ; the radial node distribution is characterized by the exponent α and ζ controls the curvature of the embedding space. Specifically, we report and analyze average structural properties [by means of the number of nonisolated vertices V_{x}(G), topological indices, and clustering coefficients] and average spectral properties [by means of standard RMT measures: the ratio between consecutive eigenvalue spacings r_{R}(G), the ratio between nearest- and next-to-nearest-neighbor eigenvalue distances r_{C}(G), and the inverse participation ratio and the Shannon entropy S(G) of the eigenvectors]. Even though HRGs are, in general, more elaborated than Euclidean random geometric graphs, we show that both types of random graphs share important average properties, namely: (i) 〈V_{x}(G)〉 is a simple function of the average degree 〈k〉, 〈V_{x}(G)〉≈n[1-exp(-γ〈k〉)], while (ii) properly normalized 〈r_{R}(G)〉, 〈r_{C}(G)〉 and 〈S(G)〉 scale with the parameter ξ∝〈k〉n^{δ}. Here, γ≡γ(α/ζ), δ≡δ(α/ζ), and 〈·〉 is the average over a graph ensemble.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024309"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659191","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}
引用次数: 0
Identifying key drivers in a stochastic dynamical system through estimation of transfer entropy between univariate and multivariate time series.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.024308
Julian Lee
{"title":"Identifying key drivers in a stochastic dynamical system through estimation of transfer entropy between univariate and multivariate time series.","authors":"Julian Lee","doi":"10.1103/PhysRevE.111.024308","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024308","url":null,"abstract":"<p><p>Transfer entropy (TE) is a widely used tool for quantifying causal relationships in stochastic dynamical systems. Traditionally, TE and its conditional variants are applied pairwise between dynamic variables to infer these relationships. However, identifying key drivers in such systems requires a measure of the causal influence exerted by each component on the entire system. I propose using outgoing transfer entropy (OutTE), the transfer entropy from a given variable to the collection of remaining variables, to quantify the causal influence of the variable on the rest of the system. Conversely, the incoming transfer entropy (InTE) is also defined to quantify the causal influence received by a component from the rest of the system. Since OutTE and InTE involve transfer entropy between univariate and multivariate time series, naive estimation methods can result in significant errors, especially when the number of variables is large relative to the number of samples. To address this, I introduce a novel estimation scheme that computes outgoing and incoming TE only between significantly interacting partners. The feasibility and effectiveness of this approach are demonstrated using synthetic data and real oral microbiota data. The method successfully identifies the bacterial species known to be key players in the bacterial community, highlighting its potential for uncovering causal drivers in complex systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024308"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659195","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}
引用次数: 0
Modeling echo chamber effects in signed networks.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.024302
Antoine Vendeville, Fernando Diaz-Diaz
{"title":"Modeling echo chamber effects in signed networks.","authors":"Antoine Vendeville, Fernando Diaz-Diaz","doi":"10.1103/PhysRevE.111.024302","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024302","url":null,"abstract":"<p><p>Echo chamber effects in social networks are generally attributed to the prevalence of interactions among like-minded peers. However, recent evidence has emphasized the role of hostile interactions between opposite-minded groups. We investigate the role of polarization, identified with structural balance, in the formation of echo chambers in signed networks. To do so, we generalize the independent cascade model and the linear threshold model to describe information propagation in presence of negative edges. Antagonistic connections do not disrupt the flow of information, but instead, alter the way information is framed. Our results show that echo chambers spontaneously emerge in balanced networks, but also in antibalanced ones for specific parameters. This highlights that structural polarization and echo chambers do not necessarily display a one-to-one correspondence, showing instead a complex and often counterintuitive interplay. The robustness of our results is confirmed with a complex contagion model and through simulations in different network topologies, including real-world datasets.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024302"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659234","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}
引用次数: 0
Nonequilibrium thermodynamic foundation of the grand-potential phase field model.
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-02-01 DOI: 10.1103/PhysRevE.111.L022104
Jin Zhang, James A Warren, Peter W Voorhees
{"title":"Nonequilibrium thermodynamic foundation of the grand-potential phase field model.","authors":"Jin Zhang, James A Warren, Peter W Voorhees","doi":"10.1103/PhysRevE.111.L022104","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.L022104","url":null,"abstract":"<p><p>Choosing the correct free energy functional is critical when developing thermodynamically consistent phase field models. We show that the grand-potential phase field model minimizes the Helmholtz free energy when mass conservation is imposed. While both functionals are at a minimum at equilibrium, the Helmholtz free energy decreases monotonically with time in the grand-potential phase field model, whereas the grand potential does not. Minimizing the grand potential implies a different problem where a system can exchange mass with its surroundings at every point, leading to a condition of isochemical potential and invalidating mass conservation of the system.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2","pages":"L022104"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659241","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}
引用次数: 0
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