{"title":"Localization transition of a resetting random walk induced by multiple impurities.","authors":"Reza Sepehrinia","doi":"10.1103/PhysRevE.111.044117","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044117","url":null,"abstract":"<p><p>We study the problem of a resetting random walk on a lattice in the presence of impurities, and, as has been previously shown with a single impurity, the walker undergoes a transition from a localized to delocalized state. We study the nature of the localized states and transition to delocalized state in the presence of two impurities. We find that when the separation between impurities exceeds a characteristic length, the stronger impurity determines the transition threshold and the walker becomes localized on the stronger impurity. Deviation from the single-impurity phase diagram occurs when the impurities are close to each other and have almost the same strength, and the transition threshold is less than the threshold of each of impurities. In other words, two impurities enhance the localization.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044117"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136360","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":"Improved quantum lattice Boltzmann method for advection-diffusion equations with a linear collision model.","authors":"Li Xu, Ming Li, Lei Zhang, Hai Sun, Jun Yao","doi":"10.1103/PhysRevE.111.045305","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.045305","url":null,"abstract":"<p><p>Quantum computing has made tremendous progress in recent years, providing potentialities for breaking the bottleneck of computing power in the field of scientific computing, like computational fluid dynamics. To reduce computational costs and achieve an acceleration, we propose an ancilla-free quantum lattice Boltzmann method for advection-diffusion equations that fully leverages the parallelism of quantum computing. More significantly, there is no need to perform quantum state tomography in each previous loop, if the macroscopic variables for a certain loop is needed. The nonunitary collision operators are replaced by the unique local unitary operations, and the removal of ancilla qubit greatly diminishes the complexity of the quantum circuit. The numerical simulations of the D_{1}Q_{3} and D_{2}Q_{5} models have confirmed the feasibility of the proposed algorithm.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-2","pages":"045305"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136369","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}
N M De La Cruz Feliz, F O Sanchez-Varretti, N De La Cruz Félix, A J Ramirez-Pastor
{"title":"Percolation of k×k square tiles deposited under equilibrium conditions on square lattices.","authors":"N M De La Cruz Feliz, F O Sanchez-Varretti, N De La Cruz Félix, A J Ramirez-Pastor","doi":"10.1103/PhysRevE.111.044110","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044110","url":null,"abstract":"<p><p>Numerical simulations and finite-size scaling analysis have been carried out to study the percolation behavior of square tiles of side k (k-tiles) on two-dimensional square lattices. The k-tiles, containing k×k identical units (each one occupying a lattice site), were reversibly adsorbed on the lattice. The process was monitored by following the probability R_{L,k}(θ) that a lattice composed of L×L sites percolates at a concentration θ of sites occupied by particles of side k. The classical percolation problem is recovered for k=1 giving the well-known site percolation threshold θ_{c,k=1}=0.592746⋯. A slight decrease is observed at the percolation threshold when k goes from 1 to 2, with θ_{c,k=2}=0.58483(9). For k≥2, the percolation threshold θ_{c,k} monotonically increases with k and asymptotically converges toward a definite value for large k-tiles θ_{c,k→∞}≈0.963. Accordingly, the model presents a percolation transition for the whole range of k. This behavior is completely different from that observed for the percolation problem of k×k square tiles irreversibly deposited on square lattices, where the percolation threshold is an increasing function of k in the range of 1≤k≤3. For k≥4, the percolation phase transition disappears. This stark contrast between the behaviors of reversible and irreversible adsorption models is a significant outcome of this research. Our findings could guide future studies exploring possible formation mechanisms in conductivity experiments of composite materials. Finally, the accurate determination of the critical exponents α, β, and γ, along with the measurement of the fractal dimension of the percolating cluster and the shortest-path exponent, indicates that although the deposition mechanism drastically affects the behavior of the percolation threshold with k, it does not alter the nature of the percolation transition occurring in the system. Accordingly, the universality class of the reversible adsorption model was found to be the same as for the random percolation model.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044110"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136420","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":"Polarization statistics of thermal microwave radiation.","authors":"Daniel Kestner, Alex Kostinski","doi":"10.1103/PhysRevE.111.044125","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044125","url":null,"abstract":"<p><p>Time series of thermal emissions from water vapor and air molecules at ≈2.8GHz, collected by the National Center for Atmospheric Research's (NCAR) S-band polarimetric radar S-Pol are examined for polarization probability distributions. A nearly uniform distribution of states on the Poincaré sphere surface is found. This uniformity is consistent with the four-dimensional circular Gaussian distribution of electric fields (pairs of in-phase and quadrature components for two orthogonal directions) for unpolarized radiation. Analysis of experimental data and the derived sampling distribution of the degree of polarization of the finite time series both yield a mean of about 0.02, within bounds of sampling variability of unpolarized Gaussian-distributed radiation. Weak inhomogeneity of polarization states on the Poincaré sphere detected in the experimental data is within the error bounds of the radar receiver.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044125"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136427","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}
Mathieu Istas, Scott Jensen, Yubo Yang, Markus Holzmann, Carlo Pierleoni, David M Ceperley
{"title":"Liquid-liquid phase transition of hydrogen and its critical point: Analysis from ab initio simulation and a machine-learned potential.","authors":"Mathieu Istas, Scott Jensen, Yubo Yang, Markus Holzmann, Carlo Pierleoni, David M Ceperley","doi":"10.1103/PhysRevE.111.045307","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.045307","url":null,"abstract":"<p><p>We simulate high-pressure hydrogen in its liquid phase close to molecular dissociation using a machine-learned interatomic potential. The model is trained with density functional theory forces and energies, with the Perdew-Burke-Ernzerhof (PBE) exchange-correlation functional. We show that an accurate NequIP model, an E(3)-equivariant neural network potential, accurately reproduces the phase transition present in PBE. Moreover, the computational efficiency of this model allows for substantially longer molecular-dynamics trajectories, enabling us to perform a finite-size scaling analysis to distinguish between a crossover and a true first-order phase transition. We locate the critical point of this transition, the liquid-liquid phase transition, at 1200-1300 K and 155-160 GPa, a temperature lower than most previous estimates and close to the melting transition.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-2","pages":"045307"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136377","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":"Intrinsic Langevin dynamics of rigid inclusions on curved surfaces.","authors":"Balázs Németh, Ronojoy Adhikari","doi":"10.1103/PhysRevE.111.045418","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.045418","url":null,"abstract":"<p><p>The stochastic dynamics of a rigid inclusion constrained to move on a curved surface has many applications in biological and soft matter physics, ranging from the diffusion of passive or active membrane proteins to the motion of phoretic particles on liquid-liquid interfaces. Here we construct intrinsic Langevin equations for an oriented rigid inclusion on a fixed curved surface using Cartan's method of moving frames. We first derive the Hamiltonian equations of motion for the translational and rotational momenta in the body frame. Surprisingly, surface curvature couples the linear and angular momenta of the inclusion. We then add to the Hamiltonian equations linear friction, white noise, and arbitrary configuration-dependent forces and torques to obtain intrinsic Langevin equations of motion in phase space. We provide the integrability conditions, made nontrivial by surface curvature, for the forces and torques to admit a potential, thus distinguishing between passive and active stochastic motion. We derive the corresponding Fokker-Planck equation in geometric form and obtain fluctuation-dissipation relations that ensure Gibbsian equilibrium. We extract the overdamped equations of motion by adiabatically eliminating the momenta from the Fokker-Planck equation, showing how a peculiar cancellation leads to the naively expected Smoluchowski limit. The overdamped equations can be used for accurate and efficient intrinsic Brownian dynamics simulations of passive, driven, and active diffusion processes on curved surfaces. Our work generalizes to the collective dynamics of many inclusions on curved surfaces.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-2","pages":"045418"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136401","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":"Probing the radiation-dominated regime of laser-plasma interaction in multibeam configurations of petawatt lasers.","authors":"T V Liseykina, E E Peganov, S V Popruzhenko","doi":"10.1103/PhysRevE.111.045212","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.045212","url":null,"abstract":"<p><p>We numerically model the ultrarelativistic dynamics of a dense plasma microtarget, in a focus of several intersecting femtosecond laser pulses of multipetawatt power each. The aim is to examine prospective experimental approaches to the search for the Inverse Faraday Effect induced by radiation friction. We show that multibeam configurations allow lowering the single beam peak laser power required to generate a detectable quasistatic longitudinal magnetic field excited due to the radiation reaction force. The effect is significant at angles around 10^{o} between the beam propagation axes, almost vanishes when the angle exceeds 20^{o}, and remains rather stable with respect to the variations of relative phases and amplitudes of the beams. Quantum recoil, accounted for semiclassically, is shown to considerably suppress the longitudinal magnetic field, which, however, remains sizable. We conclude that, by using four infrared femtosecond linearly polarized pulses of 15 petawatt power each, crossing at angles of ≈10^{o}, the radiation-dominated regime of laser-plasma interaction can be experimentally demonstrated.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-2","pages":"045212"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136538","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}
A Rososhek, E S Lavine, B R Kusse, W M Potter, D A Hammer
{"title":"Randomization of a laser wave front by the turbulent gas-puff Z-pinch plasma column.","authors":"A Rososhek, E S Lavine, B R Kusse, W M Potter, D A Hammer","doi":"10.1103/PhysRevE.111.045202","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.045202","url":null,"abstract":"<p><p>In this paper, we present the first direct experimental evidence supported by numerical modeling of a turbulent plasma column formed during a gas-puff z-pinch implosion generated by the cobra current. Utilizing an imaging refractometer, we showed a significant decrease in spatial autocorrelation of the laser field and the appearance of a laser speckle pattern shortly before stagnation. The intensity distribution of the speckles measured during different shot campaigns while employing long and short cobra pulses follows the speckle statistics satisfactorily. The imaging refractometer signal is proportional to the integral over the electron density gradients; hence, the measured phase randomization of the individual plane waves composing the laser field implies a random density distribution. To validate this, the beam propagation method code simulates the laser beam propagation through different artificial density distributions with various average fluctuation scales and generates synthetic imaging refractometer data. The results reproduce similar trends in the experimental data, such as the increasing vertical width for the decreasing average spatial scale of the fluctuations and the decreasing spatial correlation length of the laser field. Therefore, during the gas-puff z-pinch implosion process, it is likely that the plasma flow is almost always turbulent with the average spatial scale of the turbulent density fluctuations decreasing towards stagnation.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-2","pages":"045202"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136542","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":"Superexponential growth of epidemics in networks with cliques.","authors":"L D Valdez","doi":"10.1103/PhysRevE.111.044305","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044305","url":null,"abstract":"<p><p>Many dynamic processes on complex networks, from disease outbreaks to cascading failures, can rapidly accelerate once a critical threshold is exceeded, potentially leading to severe social and economic costs. Therefore, in order to develop effective mitigation strategies, it is essential to understand how these catastrophic events occur. In this work, we investigate the dynamic of disease propagation on networks with fully connected subgraphs (or cliques) using a susceptible-infected-quarantined (SIQ) model, and considering a scenario in which only a proportion f of the population has access to testing. For this model, we derive the time-evolution equations governing the spread of epidemics, and we show that the final proportion of infected individuals undergoes a sudden transition at a critical threshold f_{c}. Moreover, close to this transition point, our results on the time evolution of the SIQ model reveal that the number of new cases can exhibit a faster-than-exponential growth. This accelerated spread dynamics is more likely to occur in networks with larger cliques.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044305"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136580","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":"Shape and performance of fastest paths over networks with interacting selfish agents.","authors":"Marco Cogoni, Giovanni Busonera, Enrico Gobbetti","doi":"10.1103/PhysRevE.111.044318","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.044318","url":null,"abstract":"<p><p>We study the evolution of the fastest paths (FPs) in transportation networks under increasing congestion. Moving from the common edge-based to a path-based analysis, we examine the directed FPs connecting random origin-destination pairs as traffic grows. We describe their shape through effective length, detour (maximum distance of FP from a straight line), inness (signed area between FP and straight line), and their performance through a metric measuring how fast and how far an agent travels toward its destination. The entire network is characterized by analyzing the distribution of the performance metric (and its Gini coefficient) across uniformly sampled paths. The study focuses on the traffic-loading phenomenon that takes place during the morning peak hour for eight major cities: networks start with empty edges that are progressively populated by the FPs of single vehicles. As vehicle density grows, the interactions among selfish agents becomes stronger at edge level, and travel speed linearly decreases, thus optimal paths dynamically change with traffic. We fully characterize the transition to congestion and discuss the common aspects among the cities (and some peculiarities); in particular we were able to pinpoint a critical traffic level (or a sequence) for which path shape, rejection ratio, and inequality of the performance degradation show a concurrent qualitative change. For all cities we observe large peaks for both detour and inness (and their variance) in the proximity of the critical traffic level. Inness shows that paths are slightly attracted by city centers with light traffic, but switch to a strong repulsion immediately beyond the transition. Finally, our path performance metric highlighted a strongly asymmetric behavior when the city neighborhoods act as origins or destinations.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 4-1","pages":"044318"},"PeriodicalIF":2.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144136587","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}