Meir H Shachar, M Giselle Fernández-Godino, Charles F Jekel, Harshitha Menon, Dane M Sterbentz, Yue Hao, Kevin A Korner, Robert N Rieben, Daniel A White, Jonathan L Belof, William J Schill, Ismael D Boureima, Nathan K Brown
{"title":"Multiagent design assistant for the simulation of inertial fusion energy.","authors":"Meir H Shachar, M Giselle Fernández-Godino, Charles F Jekel, Harshitha Menon, Dane M Sterbentz, Yue Hao, Kevin A Korner, Robert N Rieben, Daniel A White, Jonathan L Belof, William J Schill, Ismael D Boureima, Nathan K Brown","doi":"10.1103/c6jc-fnkm","DOIUrl":"https://doi.org/10.1103/c6jc-fnkm","url":null,"abstract":"<p><p>Inertial fusion energy promises nearly unlimited, clean power, if it can be achieved. However, the design and engineering of fusion systems requires controlling and manipulating matter at extreme energies and timescales; the shock physics and radiation transport governing the physical behavior under these conditions are complex, requiring the development, calibration, and use of predictive multiphysics codes to navigate the highly nonlinear and multifaceted design landscape. We hypothesize that artificial intelligence reasoning models can be combined with physics codes and emulators to autonomously design fusion fuel capsules. In this article we construct a multiagent system where natural language is utilized to explore the complex physics regimes around fusion energy. The agentic system is capable of executing a high-order multiphysics inertial fusion computational code. We demonstrate the capacity of the multiagent design assistant to translate natural-language design goals into simulation execution, physics-emulator construction, analysis, and iterative refinement of capsule-geometry parameters, ultimately achieving simulated ignition within the computational design workflow.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025303"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018398","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":"Learning and extrapolating scale-invariant processes.","authors":"Anaclara Alvez, Cyril Furtlehner, François Landes","doi":"10.1103/n1nt-spjp","DOIUrl":"https://doi.org/10.1103/n1nt-spjp","url":null,"abstract":"<p><p>Machine learning has deeply changed some fields recently, like language and vision. In the case of complex systems, spectacular breakthroughs happened too (e.g., for protein folding) and more are expected to come. Our question is: how and to which extent can one regress scale-free processes, i.e., processes displaying power law behavior, like earthquakes or avalanches? The events one is interested in predicting are the large ones, i.e., events that are typically rare in the training set, so we are basically in the extrapolation regime. While some recent works also tackle scale-free systems by proposing generative models closely aligned with the renormalization group framework, here instead we explore the problem of prediction in the extrapolation regime. We consider two paradigmatic problems that are statistically self-similar. The first one is a two-dimensional fractional Gaussian field obeying linear dynamics, self-similar by construction and amenable to exact analysis. The second one is the Abelian sandpile model, exhibiting self-organized criticality. The emerging paradigm of geometric deep learning shows that including known symmetries into the model's architecture is key to success (as translation invariance for images). Here one may hope to extrapolate only by leveraging scale invariance, which is, however, a peculiar symmetry, as it involves possibly nontrivial coarse-graining operations and anomalous scaling. We perform experiments on various existing architectures like U-net, the Riesz network (scale-invariant by construction), or our own proposals: a wavelet-decomposition-based Graph Neural Network (with discrete scale symmetry), a Fourier embedding layer, and a Fourier-Mellin Neural Operator. Based on these experiments and a complete characterization of the linear case, we identify the main issues relative to spectral biases and coarse-grained representations, and discuss how to alleviate them with the relevant inductive biases.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025301"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018384","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}
Dimitrios Mataragkas, Alexandros Vasilopoulos, Dong-Hee Kim, Nikolaos G Fytas
{"title":"Crossover and universality breaking in the dilute Baxter-Wu model.","authors":"Dimitrios Mataragkas, Alexandros Vasilopoulos, Dong-Hee Kim, Nikolaos G Fytas","doi":"10.1103/gp1c-ns8v","DOIUrl":"https://doi.org/10.1103/gp1c-ns8v","url":null,"abstract":"<p><p>The critical behavior of the Baxter-Wu model belongs to the universality class of the four-state Potts model. While the introduction of annealed vacancies does not alter the criticality of the four-state Potts model, the dilute Baxter-Wu model has remained the subject of several competing scenarios. Here we investigate the phase diagram of the spin-1 Baxter-Wu model in the presence of a crystal field using transfer-matrix calculations and large-scale Monte Carlo simulations. Our results reveal a systematic evolution of the effective critical behavior with increasing crystal field, accompanied by increasingly strong finite-size corrections near the crossover to the first-order regime. Along the line of continuous transitions, the central charge remains close to c=1, while the scaling dimensions systematically deviate from the spin-1/2 limit as the crystal field increases, consistent with either continuously varying effective critical exponents or a slow crossover between competing critical behaviors. The first-order regime is independently characterized through multicanonical simulations, which confirm the expected finite-size scaling and interfacial behavior. Taken together, our results provide a unified picture of the dilute spin-1 Baxter-Wu model, substantially narrowing the range of possible scenarios for the crossover between continuous and first-order phase transitions.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024114"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018393","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":"Crossover from generalized to conventional hydrodynamics in nearly integrable systems under relaxation time approximation.","authors":"Saikat Santra, Maciej Łebek, Miłosz Panfil","doi":"10.1103/8232-shpj","DOIUrl":"https://doi.org/10.1103/8232-shpj","url":null,"abstract":"<p><p>Upon breaking the integrability, the equations of generalized hydrodynamics (GHD) are supplemented by a Boltzmann collision term. Such terms are typically complicated and stem from a perturbative treatment of integrability-breaking terms in the Hamiltonian. In our work, we study a simplified version of the collision operator in a form of relaxation time approximation familiar from kinetic theory. We explicitly compute transport coefficients which characterize the Navier-Stokes (NS) hydrodynamic regime emerging at large space-time scales. We also thoroughly study the crossover between GHD and NS hydrodynamic descriptions, identifying relevant characteristic space-time scales for the transition. In particular, we show how the emergence of NS hydrodynamics is visible in the dynamics of conserved and nonconserved charge densities and in hydrodynamic two-point functions.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024155"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018413","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}
James C Welch, Louis Jose, Timothy D Tharp, Scott D Baalrud
{"title":"Molecular dynamics simulations of temperature relaxation in strongly magnetized, non-neutral, equal-density two-component plasmas.","authors":"James C Welch, Louis Jose, Timothy D Tharp, Scott D Baalrud","doi":"10.1103/h1dp-dwwl","DOIUrl":"https://doi.org/10.1103/h1dp-dwwl","url":null,"abstract":"<p><p>An important process for antimatter experiments is the cooling of particles in a Penning-Malmberg trap to experimentally useful temperatures. A non-neutral plasma of one species (e.g., antiprotons) can be collisionally cooled on another colder species (e.g., electrons). Modeling temperature relaxation in these devices is challenging from a plasma physics perspective because the particles are strongly magnetized (the gyrofrequency exceeds the plasma frequency). Recently, a theoretical model based on the generalized collision operator was proposed to describe the temperature evolution in these conditions, predicting a multistep relaxation process where temperatures parallel to the magnetic field relax much faster than perpendicular to it [L. Jose et al., Phys. Rev. E 111, 035201 (2025)2470-004510.1103/PhysRevE.111.035201]. Here, this model is tested using molecular dynamics simulations. Two analysis methods are applied: one based on an imposed temperature difference, and the other based on a Green-Kubo relation. The results of the simulations support the predictions of this new model. This work extends previous molecular dynamics simulation studies of temperature anisotropy relaxation in one-component non-neutral plasmas to two-component systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025201"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018370","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":"Epidemic dynamics on temporal complex networks.","authors":"Ziting Luo, Chengzuo Zhuge, Wei Chen","doi":"10.1103/48z3-6cmb","DOIUrl":"https://doi.org/10.1103/48z3-6cmb","url":null,"abstract":"<p><p>A wide range of real-world systems, ranging from physical and biological systems to social systems, can be described as temporal networks, where link temporality has profound effects on many dynamical processes taking place on networks. Here we study the susceptible-infected-susceptible model on temporal complex networks, where edges are randomly activated or terminated at each time step. We analytically obtain the epidemic threshold for temporal complex networks with arbitrary initial degree distributions. The approximate endemic equilibrium prevalence for temporal complex networks with arbitrary initial degree distributions is derived analytically for the system close to the epidemic threshold and far away from it. In addition, we demonstrate that the system undergoes a continuous transition from the disease-free state to the endemic state. Our results pave the way to understand how the degree distributions will affect a wide variety of binary-state dynamics on temporal complex networks.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024306"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018499","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":"Escape over a saddle by colored noise: Theory and numerics.","authors":"Jiayao Shao, Tobias Grafke, Robert S MacKay","doi":"10.1103/w8dd-9cqg","DOIUrl":"https://doi.org/10.1103/w8dd-9cqg","url":null,"abstract":"<p><p>Stochastic dynamical systems allow modeling of transitions induced by random disturbances, in particular from an attracting equilibrium and crossing the stable manifold of a saddle. While the small-noise limit is well-described by the large deviation principle, existing computational methods often struggle with stochastic forcings any more complicated than nondegenerate Gaussian white noise, and with unbounded time intervals. The primary innovations of this work are extending the framework to cater for colored and degenerate forcing and unbounded time horizons-scenarios that are physically realistic but numerically challenging. We cater for degenerate noise by using the Hamiltonian optimal control method. We cater for a class of colored noises by using linear filters on white noise. We cater for infinite time horizon by introducing the method of division (MOD), a computational approach for approximating rare transition events, including their most likely paths and the exponential scaling laws of their transition rates. The effectiveness of MOD and the above approaches to colored noise, is demonstrated by illustration on two examples: an inverted double-well potential and a simplified roll-heave model for ship capsize.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024210"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018505","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":"Polaritonic machine learning for graph-based data analysis.","authors":"Yuan Wang, Stefano Scali, Oleksandr Kyriienko","doi":"10.1103/fgy1-n4vp","DOIUrl":"https://doi.org/10.1103/fgy1-n4vp","url":null,"abstract":"<p><p>Photonic and polaritonic systems offer a fast and efficient platform for accelerating machine learning (ML) through physics-based computing. To gain a computational advantage, however, polaritonic systems must meet the following: (1) exploit features that specifically favor nonlinear optical processing; (2) address problems that are computationally hard and depend on these features; and (3) integrate photonic processing within broader ML pipelines. In this work, we propose a polaritonic machine learning approach for solving graph-based data problems. We demonstrate how lattices of condensates can efficiently embed relational and topological information from point cloud datasets. This information is then incorporated into a pattern recognition workflow based on convolutional neural networks (CNNs), leading to significantly improved learning performance compared to physics-agnostic methods. Our extensive benchmarking shows that photonic machine learning achieves over 90% accuracy for Betti number classification and clique detection tasks, a substantial improvement over the 35% accuracy of bare CNNs. Our study introduces a distinct way of using photonic systems as fast tools for feature engineering, while building on top of high-performing digital machine learning.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025305"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018470","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":"Relations between the inequality indices Gini, Pietra, and Kolkata: Theory and data analysis.","authors":"Asim Ghosh, Bikas K Chakrabarti","doi":"10.1103/wb7q-78gb","DOIUrl":"https://doi.org/10.1103/wb7q-78gb","url":null,"abstract":"<p><p>We study relations between three inequality indices, namely the Gini (g), Pietra (p) and Kolkata (k) introduced in 1912, 1915, and 2014 respectively, and all are derived from the Lorenz function L(x) introduced in 1905. The Kolkata index [which corresponds to a fixed point of the complementary Lorenz function L_{c}(x)≡1-L(x)] gives the fraction k of wealth possessed by the richest 1-k fraction of people (k = 0.8 corresponds to Pareto's 80-20 law from 1896). We show rigorously that while the Pietra index value p should be greater than or equal to 2k-1, the Robin Hood index should strictly be equal to the excess wealth fraction 2k-1 possessed by the richest 1-k fraction of people. Our numerical data analysis for U.S. IRS income data (1983-2022), Bollywood (India) movie income data (1999-2024), and the citation inequalities across the publications by forty Nobel laureates (2020-2025) in economics, physics, chemistry, and medicine clearly show that p/(2k-1) is always greater than unity but the deviation is never more than 5%. Assuming some simple analytic form for the Lorenz function, we also derived the relations k=(1/2)+(3/8)g for small g values and p/g=3/4. However, by considering the Lorenz function appropriate for the generalized Pareto power law distribution, we obtain an extended range (1_{+}<p/g≤e/2) that captures most of the empirical data.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024302"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018552","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":"Traveling fronts in a generalized neural field model that couples to the extracellular space.","authors":"Oliver Cattell, Reuben D O'Dea, Stephen Coombes","doi":"10.1103/19dg-8flj","DOIUrl":"https://doi.org/10.1103/19dg-8flj","url":null,"abstract":"<p><p>Extracellular ion concentrations directly influence neuronal excitability, synaptic transmission, and the generation of electrical signals. Capturing the ionic dynamics is essential for modeling both healthy and pathophysiological brain function. Here we explore how variations in ion concentration in the extracellular space affect the generation and propagation of traveling fronts of activity in cortical tissue. To this end, we develop a neural field model in which neuronal excitability is modulated by the local extracellular ionic concentration. Using an interface dynamics approach, we derive an analytic expression for the speed of propagating activity fronts. We demonstrate that increasing the ionic diffusion coefficient leads to a reduction in front speed. In addition, analysis of stationary bump solutions reveals that increases in the diffusion rate reduces the size of a region of high activity required to initiate a propagating front.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024409"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018555","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}