{"title":"GPU-accelerated sequential Monte Carlo for Bayesian spectral analysis.","authors":"Tomohiro Nabika, Yui Hayashi, Masato Okada","doi":"10.1103/35xk-s7w3","DOIUrl":"https://doi.org/10.1103/35xk-s7w3","url":null,"abstract":"<p><p>Bayesian spectral deconvolution provides a data-driven framework for mathematical model selection and parameter estimation from spectral data. Although highly versatile, its computational cost grows with the number of model parameters, data points, and candidate models, often rendering practical applications infeasible. We propose a GPU-accelerated approach in which a sequential Monte Carlo sampler (SMCS) is executed in parallel on a GPU to perform Bayesian model selection for the number of spectral peaks and Bayesian estimation of peak-function parameters. Numerical experiments demonstrate that the GPU-parallelized SMCS reaches the free-energy accuracy of an optimized CPU-parallelized replica exchange Monte Carlo (REMC) baseline up to approximately 37× faster-with smaller gains, down to near parity, in the least favorable settings-and is faster than GPU-parallelized REMC in many of the tested cases. The method is validated on artificial data designed to emulate x-ray photoelectron spectroscopy and x-ray diffraction measurements, as well as on real experimental spectra. As measurement techniques such as microscopic spectroscopy and in situ methods continue to drive rapid growth in the volume of spectral data, the proposed approach offers a practical computational foundation for advanced analysis of each individual dataset.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-2","pages":"035303"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207724","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}
Gang Huang, Lai Shun Chan, Hajime Yoshino, Ge Zhang, Yuliang Jin
{"title":"Liquid and solid layers in a thermal deep-learning machine.","authors":"Gang Huang, Lai Shun Chan, Hajime Yoshino, Ge Zhang, Yuliang Jin","doi":"10.1103/twww-yj1y","DOIUrl":"https://doi.org/10.1103/twww-yj1y","url":null,"abstract":"<p><p>We study generalization in overparameterized deep neural networks using a thermal deep learning machine with a well-defined Hamiltonian. We find that learning dynamics organize the network into a solid-liquid-solid structure, where boundary layers are constrained while central layers remain flexible. These layers exhibit distinct dynamical behaviors, including timescale separation and nonequilibrium aging. We show that the solution space is structureless in liquid layers but hierarchically organized in solid layers, indicating a direct link between dynamics and landscape geometry. These results suggest a physical perspective for generalization, arising from the interplay between flexible representations and boundary-induced constraints.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-2","pages":"035309"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207752","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}
Benjamin Kellers, Julius Weinmiller, Arnulf Latz, Timo Danner
{"title":"Lattice Boltzmann methods with anisotropic equilibrium distributions.","authors":"Benjamin Kellers, Julius Weinmiller, Arnulf Latz, Timo Danner","doi":"10.1103/zc7w-jk88","DOIUrl":"https://doi.org/10.1103/zc7w-jk88","url":null,"abstract":"<p><p>Lattice Boltzmann methods are usually derived under the assumption of isotropy. In this work, we present a derivation of a Lattice Boltzmann method for anisotropic fluid flow. Starting from an anisotropic equilibrium distribution, we show a full derivation of the resulting lattice Boltzmann method. We ensure that our method correctly reproduces macroscopic behavior via Chapman-Enskog analysis for a single-relaxation time collision operator. As a result, we are able to show that a properly discretized anisotropic Maxwell-Boltzmann equilibrium does macroscopically in fact lead to an anisotropic variation of the Navier-Stokes equations. All desired properties of lattice Boltzmann methods, such as locality of the collision operator, isotropic discrete position and velocity space, or mass and momentum conservation are retained. While it is explicitly shown in the context of fluid flow, the presented scheme is straightforward to adopt to advection-diffusion problems.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-2","pages":"035307"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207766","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}
E M Franklin, B Darbois Texier, A Seguin, D D Carvalho, Y Bertho
{"title":"Intruder dynamics in granular media under localized surface loading.","authors":"E M Franklin, B Darbois Texier, A Seguin, D D Carvalho, Y Bertho","doi":"10.1103/xj4k-m7tw","DOIUrl":"https://doi.org/10.1103/xj4k-m7tw","url":null,"abstract":"<p><p>We experimentally investigate the dynamics of a spherical intruder driven horizontally at a constant force in a granular medium subjected to a localized surface overload. While intruder motion beneath a free surface exhibits constant acceleration in the quasistatic regime, the presence of a surface load induces a pronounced transient deceleration when the intruder passes below the loaded region. The magnitude of this deceleration increases with the applied overload and saturates at large overloads, while it decreases with intruder depth. Introducing a characteristic timescale and an overload-based Froude number, we show that the deceleration dynamics collapse onto master curves. We further develop a model incorporating stress transmission from the surface, which partially captures the intruder deceleration. In this approach, this deceleration is shown to depend on two parameters: the overload and the area on which this overload is applied. These results provide a framework to quantify how localized surface stresses influence subsurface intruder dynamics, with implications for locomotion, root growth, and underground transport in granular media.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-2","pages":"035408"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207776","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":"Statistical mechanics of the N-queens problem.","authors":"Zong-Yue Liu, Hai-Jun Liao, Lei Wang","doi":"10.1103/cx7m-n3d5","DOIUrl":"https://doi.org/10.1103/cx7m-n3d5","url":null,"abstract":"<p><p>The N-queens problem asks for the number Q(N) of ways to place N mutually nonattacking queens on an N×N chessboard. Simkin [M. Simkin, Adv. Math. 427, 109127 (2023)0001-870810.1016/j.aim.2023.109127] proved Q(N)∼(N/e^{γ})^{N}, and subsequent work [P. Nobel, A. Agrawal, and S. Boyd, Optim. Lett. 17, 1229 (2023)1862-447210.1007/s11590-022-01933-2] refined the constant to γ=1.94400(1), settling the asymptotic behavior of this classical combinatorial problem. In this work, we pursue a thermodynamic-integration route in an unrestricted lattice-gas ensemble. We map the N-queens problem to a lattice gas with pairwise repulsive interactions along shared rows, columns, and diagonals, and we perform extensive Monte Carlo simulations for N=8-1024 with 10^{8} sweeps per temperature point. The specific heat per queen C_{v}/N converges to a size-independent function with a broad, nondivergent maximum at T^{*}≈0.235J, associated with a defect-proliferation crossover. This convergence, combined with the trivially exact high-temperature entropy S(∞)/N=1/Nln(N^{2}/N), enables a thermodynamic integration of C_{v}/T that extracts the ground-state entropy and yields γ_{MC}=1.946±0.003 at N=1024, within 0.1% of the precise combinatorial value. The Simkin-Nobel value enters only as a benchmark; the thermodynamic route requires no prior knowledge of Q(N). We further present a transfer-matrix-based tensor-network formulation that encodes the nonattacking constraints into a rank-9 site tensor with 17 nonzero elements, providing a complementary exact-enumeration route.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034125"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207796","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":"Sticky eigenstates in systems with sharply divided phase space.","authors":"Hua Yan","doi":"10.1103/dwhh-42vk","DOIUrl":"https://doi.org/10.1103/dwhh-42vk","url":null,"abstract":"<p><p>We investigate mixed eigenstates in systems with sharply divided phase space, using different piecewise-linear maps whose regular-chaotic boundaries are formed by marginally unstable periodic orbits (MUPOs) or by quasiperiodic orbits. With the overlap index and the entropy localization length, we classify mixed eigenstates and show that the contribution from dynamical tunneling scales as ∼ℏexp(-b/ℏ), with b>0 associated with the relative size of the regular region. The dominant fraction of states that remain sticky to the boundaries, referred to as sticky eigenstates, scales approximately as ℏ^{1/2} in the MUPO case and oscillates around this algebraic behavior in the quasiperiodic case. This behavior generalizes established predictions for hierarchical states in Kolmogorov-Arnold-Moser (KAM) systems, which scale as ℏ^{1-1/γ}, with γ set by the corresponding classical stickiness reflected in the algebraic decay of cumulative recurrence-time distributions t^{-γ}. For the piecewise-linear maps studied here, γ=2. These results reveal a clear quantum signature of classical stickiness in non-KAM systems.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034222"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207806","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":"Stationary densities in a weakly nonconserving asymmetric exclusion process with finite resources.","authors":"Sourav Pal, Abhik Basu","doi":"10.1103/sr5v-jwxp","DOIUrl":"https://doi.org/10.1103/sr5v-jwxp","url":null,"abstract":"<p><p>Inspired by the phenomenologies of an open totally asymmetric simple exclusion process (TASEP) with Langmuir kinetics (Lk) and finite resources that dynamically control the entry and exit rates of the TASEP lane, we study the stationary densities and phase transitions in a TASEP with Lk connected to both ends of a particle reservoir. The resulting phase diagrams in the plane of the control parameters are significantly different from those in an open TASEP with Lk. In particular, some of the phases admissible in the open TASEP with Lk model are no longer possible. Intriguingly, our model is closely related to a TASEP coupled with Lk on a ring with a point defect, but admits more phases than the latter. Phenomenological implications of our results are discussed.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034121"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207808","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":"Solvable model of noisy coupled oscillators with fully random interactions.","authors":"Harukuni Ikeda","doi":"10.1103/72hc-zmsb","DOIUrl":"https://doi.org/10.1103/72hc-zmsb","url":null,"abstract":"<p><p>We introduce a solvable spherical model of coupled oscillators with fully random interactions and distributed natural frequencies. Using the dynamical mean-field theory, we derive self-consistent equations for the stationary response and correlation functions. We show that the finite-temperature spin-glass transition is suppressed for any nonmonodisperse natural-frequency distribution, including continuous, discrete, and asymmetric distributions, because the resulting low-frequency singularity of the correlation function is incompatible with the spherical constraint. At zero temperature, however, a spin-glass phase persists for arbitrary frequency dispersion. This residual zero-temperature glassiness is likely a special feature of the spherical dynamics and would be destroyed by local nonlinearities. The model thus provides a solvable oscillator framework for studying how nonequilibrium perturbations suppress finite-temperature glassy freezing.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034202"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207814","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}
Yamin Zhang, Fabing Duan, François Chapeau-Blondeau, Derek Abbott
{"title":"Stabilizing generative adversarial networks with adaptive noise injection.","authors":"Yamin Zhang, Fabing Duan, François Chapeau-Blondeau, Derek Abbott","doi":"10.1103/ch8n-wrv6","DOIUrl":"https://doi.org/10.1103/ch8n-wrv6","url":null,"abstract":"<p><p>In conventional generative adversarial networks (GANs), the discriminator typically employs a sigmoid activation to map features to probabilities. However, this activation suffers from the vanishing-gradient problem, which can lead to training instability and mode collapse. This work reformulates the final-layer activation of the discriminator as cumulative distribution functions (CDFs) of random variables, thereby introducing a learnable noise-scale parameter. We show analytically that, for CDF families with bounded reversed hazard rates in the negative tail, a noise-scale value smaller than unity scales the gradient of both the saturating and nonsaturating generator losses by a factor proportional to its reciprocal. Rather than fully resolving the vanishing-gradient problem, this mechanism provides more informative gradient signals to the generator when the discriminator is close to its optimum. Experiments on a two-dimensional Gaussian mixture and on MNIST show that the proposed CDF-based activation effectively improves mode coverage and training stability. Meanwhile, experiments on CIFAR-10 using a deep convolutional GAN (DCGAN) indicate that, when gradient flow is already stabilized by architectural features, the choice of final-layer activation plays a more limited role. An ablation study on MNIST further distinguishes the benefits of the proposed method from that of conventional noise regularization techniques. These results demonstrate that the proposed CDF-based activation also contributes a meaningful scheme for stabilizing adversarial training.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-2","pages":"035304"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207879","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}
Anna Luiza M B Mattos, Rafael M Oliveira, Pedro H A Anjos, Eduardo O Dias
{"title":"Optimizing injection protocols in Hele-Shaw displacements: A trade-off between swept area and injection time.","authors":"Anna Luiza M B Mattos, Rafael M Oliveira, Pedro H A Anjos, Eduardo O Dias","doi":"10.1103/bkyp-4c4w","DOIUrl":"https://doi.org/10.1103/bkyp-4c4w","url":null,"abstract":"<p><p>Viscous fingering instabilities reduce the efficiency of immiscible displacement processes in radial Hele-Shaw flows. Time-dependent injection protocols provide a practical means of mitigating these instabilities, and previous studies have shown that linearly increasing injection rates can strongly suppress finger growth when both the total injected volume and the total injection time are fixed. Here we reformulate this optimization problem by prescribing a fixed radial distance and terminating the injection when the most advanced finger reaches it, a condition inspired by breakthrough in displacement processes. We then introduce a linear-plateau injection protocol, in which the injection rate increases linearly up to a switching time t_{m} and subsequently remains constant at a maximum value Q_{max}, reflecting the finite capacity of pumping systems. Using linear stability analysis and fully nonlinear boundary-integral simulations, we show that this linear-plateau protocol stabilizes the interface and increases the swept area, even though the interface evolves for a longer time than in a reference protocol with constant injection Q_{max} throughout the process. Finally, we introduce a profitlike function that balances the gain in swept area against the cost associated with longer injection times. This formulation is motivated by potential applications of the proposed control strategy to displacement processes in porous media, such as enhanced oil recovery and CO_{2} injection for geological storage. Optimization of this function identifies the switching time that provides the best trade-off between displacement efficiency and injection duration. These results establish a Hele-Shaw framework for optimizing injection protocols under a swept-area-injection-time trade-off while accounting for a maximum allowable injection rate.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-2","pages":"035105"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207836","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}