Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.024304
M V Tamm, E Heinsalu, S Scialla, M Patriarca
{"title":"Learning thresholds lead to stable language coexistence.","authors":"M V Tamm, E Heinsalu, S Scialla, M Patriarca","doi":"10.1103/PhysRevE.111.024304","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024304","url":null,"abstract":"<p><p>We introduce a language competition model that is based on the Abrams-Strogatz model and incorporates the effects of memory and learning in the dynamics of language shift. On a coarse-grained timescale, the effects of memory and learning can be expressed as thresholds on the speakers' fractions of the competing languages. In its simplest form, the resulting model is exactly solvable. Besides the consensus on one of the two languages, the model describes additional equilibrium states that are not present in the Abrams-Strogatz model: a stable dynamical coexistence of the two languages and a frozen state coinciding with the initial state. We show numerically that these results are preserved for threshold functions of a more general shape. The comparison of the model predictions with historical datasets demonstrates that while the Abrams-Strogatz model fails to describe some relevant language competition situations, the proposed model provides a good fitting.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024304"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659215","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.L023302
D H G Duarte, P D S de Lima, J M de Araújo
{"title":"Outlier-resistant physics-informed neural network.","authors":"D H G Duarte, P D S de Lima, J M de Araújo","doi":"10.1103/PhysRevE.111.L023302","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.L023302","url":null,"abstract":"<p><p>Recent advances in machine learning have introduced physics-informed neural networks (PINN) as a valuable tool for addressing dynamics through governing equations and experimental observations. Outliers can be present in measurements and significantly affect the accuracy of the solutions provided by PINN. To overcome this limitation, we construct an outlier-resistant PINN (OrPINN) based on Tsallis statistics. We investigate the robustness of OrPINN in describing the acoustic and linear elastic wave dynamics under various outlier-level scenarios. We find that the OrPINN can improve the accuracy of the solutions even when the data is highly corrupted.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2","pages":"L023302"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659249","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.025415
O Martínez-Cano, J R Morillas, J Ruiz-Nievas, G Camacho, A Rodríguez-Barroso, J Ramírez, J de Vicente
{"title":"High-speed videomicroscopy and magnetorheology under triaxial unsteady magnetic fields.","authors":"O Martínez-Cano, J R Morillas, J Ruiz-Nievas, G Camacho, A Rodríguez-Barroso, J Ramírez, J de Vicente","doi":"10.1103/PhysRevE.111.025415","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025415","url":null,"abstract":"<p><p>We describe a custom-built device that is capable of superimposing triaxial unsteady magnetic fields on a sample at the same time that its microstructure is visualized using a high-speed camera and its rheological properties are measured with a commercial rheometer. The device reaches field strengths up to 5 kA·m^{-1}, frequencies up to 4 kHz, and its functionality is evaluated by testing magnetorheological fluids under steady shear flow and field transients. Striking differences are found at small Mason numbers by changing the field configuration.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025415"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659272","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.024116
Joonhyun Yeo, Haena Shim
{"title":"Structure of quantum mean force Gibbs states for coupled harmonic systems.","authors":"Joonhyun Yeo, Haena Shim","doi":"10.1103/PhysRevE.111.024116","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024116","url":null,"abstract":"<p><p>An open quantum system interacting with a heat bath at a given temperature is expected to reach the mean force Gibbs (MFG) state as a steady state. The MFG state is given by tracing out the bath degrees of freedom from the equilibrium Gibbs state of the total system plus bath. When the interaction between the system and the bath is not negligible, it is different from the usual system Gibbs state obtained from the system Hamiltonian only. Using the path integral method, we present the exact MFG state for a coupled system of quantum harmonic oscillators in contact with multiple thermal baths at the same temperature. We develop a nonperturbative method to calculate the covariances with respect to the MFG state. By comparing them with those obtained from the system Gibbs state, we find that the effect of coupling to the bath decays exponentially as a function of the distance from the system-bath boundary. This is similar to the skin effect found recently for a quantum spin chain interacting with an environment. Using the exact results, we also investigate the ultrastrong coupling limit where the coupling between the system and the bath gets arbitrarily large and makes a connection with the recent result found for a general quantum system.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024116"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659293","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.025407
Li Wan
{"title":"Nonelectrostatic interactions as random fields in charged liquids.","authors":"Li Wan","doi":"10.1103/PhysRevE.111.025407","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025407","url":null,"abstract":"<p><p>We derive an equation capable of treating both electrostatic and nonelectrostatic interactions in charged liquids. The resulting equation is a complex version of the Poisson-Boltzmann equation, where nonelectrostatic interactions are represented as random fields through field theory. Consequently, the nonelectrostatic interactions of ions in charged liquids can be easily simulated by generating random numbers in accordance with these random fields. To solve the equation, we employ the finite element method. The nonelectrostatic interactions incorporated into the equation are general. In this study, we take the steric effect of ions as an example. The results show that the equation can capture the steric effect clearly. The steric effect excludes ions at the boundaries and alters the ion distribution within the bulk domain. In charged liquids with screening domains intersected, the steric effect in the bulk diminishes the steric effect at the boundaries.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025407"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659335","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.025420
Danqi Lang, Lorenzo Costigliola, Jeppe C Dyre
{"title":"NVU view on energy polydisperse Lennard-Jones systems.","authors":"Danqi Lang, Lorenzo Costigliola, Jeppe C Dyre","doi":"10.1103/PhysRevE.111.025420","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025420","url":null,"abstract":"<p><p>When energy polydispersity is introduced into the Lennard-Jones (LJ) system, there is little effect on structure and dynamics [T. S. Ingebrigtsen and J. C. Dyre, J. Phys. Chem. B 127, 2837 (2023)10.1021/acs.jpcb.3c00346]. For instance, at a given state point both the radial distribution function and the mean-square displacement as a function of time are virtually unaffected by even large energy polydispersity, which is in stark contrast to what happens when size polydispersity is introduced. We here argue-and validate by simulations of up to 30% polydispersity-that this almost invariance of structure and dynamics reflects an approximate invariance of the constant-potential-energy surface. Because NVU dynamics defined as geodesic motion at constant potential energy is equivalent to Newtonian dynamics in the thermodynamic limit, the approximate invariance of the constant-potential-energy surface implies virtually the same physics of energy polydisperse LJ systems as of the standard single-component version. In contrast, the constant-potential-energy surface is significantly affected by introducing size polydispersity.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025420"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659337","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":"Bridging Freidlin-Wentzell large deviations theory and stochastic thermodynamics.","authors":"Davide Santolin, Nahuel Freitas, Massimiliano Esposito, Gianmaria Falasco","doi":"10.1103/PhysRevE.111.024106","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.024106","url":null,"abstract":"<p><p>For overdamped Langevin systems subjected to weak thermal noise and nonconservative forces, we establish a connection between Freidlin-Wentzell large deviations theory and stochastic thermodynamics. First, we derive a series expansion of the quasipotential around the detailed-balance solution, that is, the system's free energy, and identify the conditions for the linear response regime to hold, even far from equilibrium. Second, we prove that the escape rate from dissipative fixed points of the macroscopic dynamics is bounded by the entropy production of trajectories that relax into and escape from the attractors. These results provide the foundation to study the nonequilibrium thermodynamics of dissipative metastable states.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-1","pages":"024106"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659356","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.025101
S Toppaladoddi, A J Wells
{"title":"Stochastic model for the turbulent ocean heat flux under Arctic sea ice.","authors":"S Toppaladoddi, A J Wells","doi":"10.1103/PhysRevE.111.025101","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025101","url":null,"abstract":"<p><p>The physics of planetary climate features a variety of complex systems that are challenging to model as they feature turbulent flows. A key example is the heat flux from the upper ocean to the underside of sea ice which provides a key contribution to the evolution of the Arctic sea ice cover. Here, we develop a model of the turbulent ice-ocean heat flux using coupled ordinary stochastic differential equations to model fluctuations in the vertical velocity and temperature in the Arctic mixed layer. All the parameters in the model are determined from observational data. A detailed comparison between the model results and measurements made during the Surface Heat Budget of the Arctic Ocean (SHEBA) project reveals that the model is able to capture the probability density functions (PDFs) of velocity, temperature, and heat flux fluctuations. Furthermore, we show that the temperature in the upper layer of the Arctic Ocean can be treated as a passive scalar during the whole year of SHEBA measurements. The stochastic model developed here provides a computationally inexpensive way to compute an observationally consistent PDF of this heat flux and has implications for its parametrization in regional and global climate models.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025101"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659399","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.025103
L Manfredini, Ö D Gürcan
{"title":"Shell models on recurrent sequences: Fibonacci, Padovan, and other series.","authors":"L Manfredini, Ö D Gürcan","doi":"10.1103/PhysRevE.111.025103","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025103","url":null,"abstract":"<p><p>A class of shell models is proposed where the shell variables are defined on a recurrent sequence of integer wave numbers such as the Fibonacci or the Padovan series or their variations, including a sequence made of square roots of Fibonacci numbers rounded to the nearest integer. Considering the simplest model, which involves only local interactions, the interaction coefficients can be generalized in such a way that the inviscid invariants, such as energy and helicity, can be conserved even though there is no exact self-similarity. It is shown that these models basically have identical features with standard shell models and produce the same power-law spectra, similar spectral fluxes, and analogous deviation from self-similar scaling of the structure functions, implying comparable levels of turbulent intermittency. Such a formulation potentially opens up the possibility of using shell models, or their generalizations along with discretized regular grids such as those found in direct numerical simulations, as either diagnostic tools or subgrid models. It also allows us to develop models where the wave-number shells can be interpreted as sparsely decimated sets of wave numbers over an initially regular grid. In addition to conventional shell models with local interactions that result in forward cascade, a particular a helical shell model with long-range interactions is considered on a similarly recurrent sequence of wave numbers, corresponding to the Fibonacci series, and found to result in the usual inverse cascade.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025103"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659405","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}
Physical Review EPub Date : 2025-02-01DOI: 10.1103/PhysRevE.111.025209
S Werbowy, B Pranszke, L Windholz
{"title":"Stark effect at high electric fields and Stark ion broadening widths and shifts for different microfield distributions at quasistatic approximation in atomic oxygen spectra.","authors":"S Werbowy, B Pranszke, L Windholz","doi":"10.1103/PhysRevE.111.025209","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.025209","url":null,"abstract":"<p><p>Studies of the static Stark effect are reported for the multiplets at 615.8, 645.6, 777.6, 822.4, 844.9, and 926.5 nm (vacuum wavelengths) of atomic oxygen, which are important for various applications. From the Stark patterns recorded at very high electric fields up to 780 kV/cm, we have determined the differences of the scalar polarizabilities Δα_{0} and the tensor polarizabilities α_{2} for the investigated lines. For most of the lines we present the first-obtained experimental results. The Stark broadening of the studied lines by non-neutral plasmas in the ion density range of 10^{13}-10^{19}cm^{-3} was analyzed based on these results. The quasistatic approximation and three distinct microfield distributions were employed, which corresponded to different types of coupling in the plasma, namely the Holtzmark, Mayer, and irregular cluster distributions. Ion broadened widths and shifts were obtained from the simulated line shapes for different microfield distributions and ion densities. The analysis of these outcomes enabled us to determine their correlations with the independently determined Δα_{0} and microfield distribution, ultimately enabling us to ascertain the contour of the microfield distribution itself.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 2-2","pages":"025209"},"PeriodicalIF":2.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143659418","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}