{"title":"Lattice Boltzmann fractional advection scheme for achieving minimal numerical viscosity.","authors":"Junye Wang, Raoyang Zhang, Hudong Chen","doi":"10.1103/44wk-wjjr","DOIUrl":"https://doi.org/10.1103/44wk-wjjr","url":null,"abstract":"<p><p>A new scheme with fractional particle advection is proposed for lattice Boltzmann models. This scheme recovers the same macroscopic hydrodynamics as the standard lattice Boltzmann method (LBM) under low-Mach numbers, weakly compressible and isothermal conditions. It achieves an effectively reduced Courant-Friedrichs-Lewy number so that the numerical stability is improved for simulation with a small viscosity. It overcomes the long-standing issue of increased numerical dissipation when the shear viscosity is dominant for fractional particle advection schemes and achieves accuracy of solution comparable to the standard LBM in any fractional situation. The new scheme also reveals that the origin of such increased numerical dissipation in fractional advection schemes lies in fractional advection of the nonequilibrium part of the particle distribution function. Overcoming the long-standing issue of excessive numerical dissipation when the shear viscosity is dominant due to fractional advection is a significant advancement in LBM, given the important advantages of fractional particle advection.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025307"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018381","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":"Moving cooling source-induced phase separation in binary liquids: An interplay of competing velocities.","authors":"Lakshmi Priya K, Harssh Karn, Sutapa Roy","doi":"10.1103/z1q2-v6dq","DOIUrl":"https://doi.org/10.1103/z1q2-v6dq","url":null,"abstract":"<p><p>We investigate phase separation dynamics in a binary mixture driven by a moving cooling source from which cold thermal fronts propagate radially into the surrounding mixture. The motion of the source introduces two distinct velocity scales: v_{s} associated with the translation of the source and v related to the propagation of the cooling thermal fronts. Using a modified Cahn-Hilliard-Cook model that explicitly couples the time-dependent temperature and concentration fields, we demonstrate that the competition between these two velocities fundamentally controls the morphology and kinetics of phase separation. Our numerical simulation results reveal a rich variety of nonequilibrium patterns whose characteristics depend not only on the ratio v_{s}/v but also on the absolute values of v_{s} and v. Same value of v_{s}/v yields distinctly different patterns for different v. The spatial extent and shape of the quenched region, determined by the temperature profile delineating spatial regions with local temperatures above and below the demixing temperature dictates the domain morphology. Furthermore, unlike conventional isothermal phase separation, the system does not exhibit dynamical scaling of the equal-time two-point correlation function with a single growing length scale, reflecting the intrinsically nonstationary nature of phase separation driven by a moving quench source. Our results establish moving thermal sources as an effective means of controlling phase-separation pathways and provide a strategy for engineering desired pattern structures by tuning the two velocities.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024145"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018387","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":"Inverse engineering of optical constants in photochromic micron-scale hybrid films.","authors":"Bahrem Serhat Danis, Amin Tabatabaei Mohseni, Smagul Karazhanov, Esra Zayim","doi":"10.1103/kmw2-2tx1","DOIUrl":"https://doi.org/10.1103/kmw2-2tx1","url":null,"abstract":"<p><p>Photochromic materials enable dynamic optical modulation through reversible transitions between distinct absorption states, with broad potential for smart windows, adaptive optics, and reconfigurable photonic devices. Micron-scale photochromic hybrid films present a particularly attractive platform for these applications, combining straightforward preparation with substantial optical modulation and scalability for high-volume fabrication. However, rational design of such films remains fundamentally constrained by the absence of well-defined optical constants. Unlike homogeneous thin films, micron-scale hybrid photochromic materials comprise active particles dispersed nonuniformly within polymer matrices. Conventional first-principles electromagnetic simulations face substantial computational costs and discrepancies between simulated and experimental particle distributions. Here, we introduce a data-driven framework that extracts effective optical constants directly from minimal experimental transmittance measurements. Our dual-state effective model approximates the complex inhomogeneous photochromic layer as a compressed homogeneous medium characterized by pseudorefractive indices and pseudoextinction coefficients for both pristine and UV-irradiated states. Through systematic optimization against experimental data from tungsten oxide-polyvinylpyrrolidone hybrid films, we determine wavelength-dependent pseudooptical constants and compression ratios that enable accurate prediction of optical modulation within the tested thickness range. Our methodology establishes a framework for engineering hybrid photochromic systems and demonstrates how data-driven modeling can overcome limitations in characterizing complex nanostructured materials.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025406"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018404","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}
Yllari K González-Koda, Ricardo Gutiérrez, Carlos Pérez-Espigares
{"title":"Making rare events typical in d-dimensional chaotic maps.","authors":"Yllari K González-Koda, Ricardo Gutiérrez, Carlos Pérez-Espigares","doi":"10.1103/trg8-5jtn","DOIUrl":"https://doi.org/10.1103/trg8-5jtn","url":null,"abstract":"<p><p>Due to the deterministic nature of chaotic systems, fluctuations in their trajectories arise solely from the choice of initial conditions. Some of these dynamical fluctuations may lead to extremely unlikely scenarios. Understanding the impact of such rare events and the trajectories that give rise to them is of significant interest across disciplines. Yet, identifying the initial conditions responsible for those events is a challenging task due to the inherent sensitivity to small perturbations of chaotic dynamics. In a recent paper [Gutiérrez et al., Phys. Rev. Lett. 131, 227201 (2023)10.1103/PhysRevLett.131.227201], this challenge was addressed by finding the effective dynamics that make rare events typical for one-dimensional chaotic maps. Here we extend such large-deviation framework to d-dimensional chaotic maps. Specifically, for any such map, we propose a method to find an effective topologically conjugate map which reproduces the rare-event statistics in the long-time limit. We demonstrate the applicability of this result using several observables of paradigmatic examples of two-dimensional chaos, namely, the two-dimensional tent map and Arnold's cat map.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024207"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018409","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}
Pedro F Gil, Weiping Li, Julianne Stratton, Alan A Kaptanoglu, Eve V Stenson
{"title":"Efficient computation of stellarator coils with an augmented Lagrangian optimization method.","authors":"Pedro F Gil, Weiping Li, Julianne Stratton, Alan A Kaptanoglu, Eve V Stenson","doi":"10.1103/838f-vbq3","DOIUrl":"https://doi.org/10.1103/838f-vbq3","url":null,"abstract":"<p><p>Finding feasible coils for stellarator fusion devices is a critical challenge of realizing this concept for future power plants. Current design efforts struggle to navigate the highly nonconvex optimization landscape, spend considerable resources scanning the parameter space, and may produce suboptimal coils. In this work, we present an augmented Lagrangian approach to tackle the ill-posed problem of coil optimization. We illustrate its effectiveness and versatility by generating coils for five stellarators with very different symmetries and magnetic-field shaping. In all cases, we find Pareto-optimal coil solutions that in various ways outperform published coil sets.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025202"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018410","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":"Polynomial smoothing and curvature estimation of noisy biological surfaces with application to aortic morphology.","authors":"Joseph A Pugar, Efi Efrati, Luka Pocivavsek","doi":"10.1103/b2th-3z6v","DOIUrl":"https://doi.org/10.1103/b2th-3z6v","url":null,"abstract":"<p><p>We present a polynomial-based smoothing and curvature estimation pipeline for extracting geometric descriptors from noisy manifolds produced by segmentation of biological surfaces, with application to thoracic aortic geometry from computed tomography angiography (CTA). The approach is a mesh-adapted variant of local polynomial regression: we fit low-order polynomials on Monge patches to smooth segmentation noise while preserving volume, then estimate curvatures from the same locally defined polynomials. Conceptually, our smoothing step generalizes classic Savitzky-Golay least-squares fitting to irregularly sampled surface neighborhoods in the style of Locally Estimated Scatterplot Smoothing, while the curvature step follows standard differential geometry on Monge patches. Per-facet curvatures are aggregated into scale-invariant integrated quantities including the total squared and integrated Gaussian curvatures, which serve as global shape descriptors. The result is a transparent, reproducible workflow that preserves interpretable surface features and yields physically meaningful descriptors suitable for downstream modeling. We validate on a cohort of 267 CTA scans from normal and dissected aortas. As an illustrative downstream task, we show that integrated curvature descriptors derived from our pipeline recover outcome-group separability comparable to prior analyses, while providing a richer per-facet curvature field for future modeling.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024404"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018445","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}
Conan M Liptrott, Sandra C Chapman, Bogdan Hnat, Nicholas W Watkins
{"title":"Tensor invariant approach to energy flux in magnetohydrodynamic turbulence.","authors":"Conan M Liptrott, Sandra C Chapman, Bogdan Hnat, Nicholas W Watkins","doi":"10.1103/xxy9-xhts","DOIUrl":"https://doi.org/10.1103/xxy9-xhts","url":null,"abstract":"<p><p>A scale-by-scale analysis of energy flux in the turbulent cascade can be performed using the spatially filtered magnetohydrodynamic (MHD) equations, while the gradient tensor invariants are widely used to characterize the structure of velocity and magnetic fields. Physical mechanisms responsible for energy flux require specific field configurations whose strength is quantified by these tensor invariants. We explore this requirement, showing that the tensor invariants act as proxies for mechanistic energy fluxes under quantifiable conditions. As a special case, the purely hydrodynamic contributions to energy flux can be expressed exactly in terms of the invariants of the velocity gradient tensor. We also show that the invariants bound the available energy flux for distinct physical mechanisms, formalizing the idea that each transfer mechanism requires field configurations with gradients of sufficient strength to support a given energy flux. Results are illustrated using three-dimensional simulations of freely decaying MHD turbulence. These findings advance our understanding of MHD turbulence by revealing key relationships between field topology and energy transfer across scales due to distinct physical mechanisms. They further provide a tool for probing the turbulent cascade using multispacecraft data where local tensor invariants are directly accessible.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025102"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018448","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}
O Devauchelle, P Popović, P Szymczak, A Abramian, A Lazarus
{"title":"Thermodynamics of bouncing grains.","authors":"O Devauchelle, P Popović, P Szymczak, A Abramian, A Lazarus","doi":"10.1103/zlsc-w7m4","DOIUrl":"https://doi.org/10.1103/zlsc-w7m4","url":null,"abstract":"<p><p>When a horizontal plate vibrates strongly enough, it causes small particles such as sand grains to continually bounce on it and, over time, to diffuse across its surface. This phenomenon is the cause of the well-known Chladni figure, which is drawn by a higher density of grains gathering along the nodal lines of a resonating elastic plate. Using a heterogeneous, nonresonating plate, we investigate experimentally this type of diffusion. We find that, for the most part, it is comparable to classical molecular diffusion. We can define a temperature for the bouncing grains, and the system then obeys the fluctuation-dissipation theorem. We also recover Maxwell-Boltzmann statistics at equilibrium, when temperature is uniform. However, when temperature varies across the vibrating plate, the microscopic details of the grains' dynamics affect their macroscopic behavior: Fick's law, for instance, no longer applies. Instead, our experiments support a new transport relation that was recently proposed to represent diffusion in Chladni's experiment. Finally, we propose an expression for the heat flux associated to the nonequilibrium steady state predicted by this new relation and test it against observations.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025420"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018464","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}
K R Elder, Brendan Aaron, Vidar Skogvoll, Luiza Angheluta
{"title":"Elastic and spinodal instabilities in strained periodic states: A phase-field-crystal study.","authors":"K R Elder, Brendan Aaron, Vidar Skogvoll, Luiza Angheluta","doi":"10.1103/19bb-bqcd","DOIUrl":"https://doi.org/10.1103/19bb-bqcd","url":null,"abstract":"<p><p>The stability of periodic states under applied strain is investigated using the one-dimensional phase-field-crystal (PFC) model. We perform a linear stability analysis of periodic states within the one-mode approximation and identify a marginal zero-wave-number mode, corresponding to the global translational symmetry, which controls the onset of instability at long wavelengths. Two distinct instability mechanisms are found. At low mean densities, phase fluctuations in the complex amplitude dominate, leading to a phase (elastic) instability of the periodic state. At higher densities, amplitude softening and density fluctuations drives a spinodal-like melting and the onset of liquid-solid coexistence. The crossover between these two regimes occurs at a sharp threshold coinciding with the onset of coexistence, and is confirmed by direct numerical simulations of the full PFC dynamics. Our results clarify how mean density and strain control the loss of periodic order through competing elastic (phase) and amplitude-driven instabilities.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024139"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018514","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}
D González-Herrero, G Pérez-Callejo, R Florido, M A Gigosos
{"title":"Tracking electron capture process in classical molecular dynamics simulations for spectral line broadening in plasmas.","authors":"D González-Herrero, G Pérez-Callejo, R Florido, M A Gigosos","doi":"10.1103/9csd-n1fn","DOIUrl":"https://doi.org/10.1103/9csd-n1fn","url":null,"abstract":"<p><p>Plasma spectroscopy is a fundamental tool for diagnosing laboratory and astrophysical plasmas. Accurate interpretation of spectra depends upon precise modeling and comprehension of Stark broadening and other mechanisms affecting spectral lines. In this context, computer simulations have emerged as valuable tools, offering idealized experiments with well-defined conditions. Molecular dynamics simulations, in particular, excel at replicating the particle interactions within the plasma and their impact on the state of a radiating atom or ion. However, these simulations present challenges in tracking electron capture processes, since setting an unambiguous criterion to distinguish between bound and free electrons is not trivial. In this paper we introduce an algorithm that, within a classical framework, precisely identifies the scenario in which an electron is captured by an ion and then follows a stable orbit around it. The algorithm's applicability extends to emitters with charges Z≥1. The procedure enables the correct identification of valid time histories of the electric microfield perturbing the emitting ion, which will be used for subsequent line shape calculations. The ionization balance results obtained from the application of this algorithm are compared with an additional method based on the potential energy of the particles in the simulations and with atomic kinetic simulations. For both methods, we find good agreement, therefore validating the use of this approach.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025204"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018503","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}