R. Hurtado-Gutiérrez, P. I. Hurtado, C. Pérez-Espigares
{"title":"Spectral signatures of symmetry-breaking dynamical phase transitions","authors":"R. Hurtado-Gutiérrez, P. I. Hurtado, C. Pérez-Espigares","doi":"arxiv-2301.10262","DOIUrl":"https://doi.org/arxiv-2301.10262","url":null,"abstract":"Large deviation theory provides the framework to study the probability of\u0000rare fluctuations of time-averaged observables, opening new avenues of research\u0000in nonequilibrium physics. One of the most appealing results within this\u0000context are dynamical phase transitions (DPTs), which might occur at the level\u0000of trajectories in order to maximize the probability of sustaining a rare\u0000event. While the Macroscopic Fluctuation Theory has underpinned much recent\u0000progress on the understanding of symmetry-breaking DPTs in driven diffusive\u0000systems, their microscopic characterization is still challenging. In this work\u0000we shed light on the general spectral mechanism giving rise to continuous DPTs\u0000not only for driven diffusive systems, but for any jump process in which a\u0000discrete $mathbb{Z}_n$ symmetry is broken. By means of a symmetry-aided\u0000spectral analysis of the Doob-transformed dynamics, we provide the conditions\u0000whereby symmetry-breaking DPTs might emerge and how the different dynamical\u0000phases arise from the specific structure of the degenerate eigenvectors. We\u0000show explicitly how all symmetry-breaking features are encoded in the\u0000subleading eigenvectors of the degenerate manifold. Moreover, by partitioning\u0000configuration space into equivalence classes according to a proper order\u0000parameter, we achieve a substantial dimensional reduction which allows for the\u0000quantitative characterization of the spectral fingerprints of DPTs. We\u0000illustrate our predictions in three paradigmatic many-body systems: (i) the 1D\u0000boundary-driven weakly asymmetric exclusion process (WASEP), which exhibits a\u0000particle-hole symmetry-breaking DPT for current fluctuations, (ii) the $3$ and\u0000$4$-state Potts model, which displays discrete rotational symmetry-breaking DPT\u0000for energy fluctuations, and (iii) the closed WASEP which presents a continuous\u0000symmetry-breaking DPT to a time-crystal phase characterized by a rotating\u0000condensate.","PeriodicalId":501231,"journal":{"name":"arXiv - PHYS - Cellular Automata and Lattice Gases","volume":"61 14","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138510840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Scrambling in quantum cellular automata","authors":"Brian Kent, Sarah Racz, Sanjit Shashi","doi":"arxiv-2301.07722","DOIUrl":"https://doi.org/arxiv-2301.07722","url":null,"abstract":"Scrambling is the delocalization of quantum information over a many-body\u0000system and underlies all quantum-chaotic dynamics. We employ discrete quantum\u0000cellular automata as classically simulable toy models of scrambling. We observe\u0000that these automata break ergodicity, i.e. they exhibit quantum scarring. We\u0000also find that the time-scale of scrambling rises with the local Hilbert-space\u0000dimension and obeys a specific combinatorial pattern. We then show that\u0000scarring is mostly suppressed in a semiclassical limit, demonstrating that\u0000semiclassical-chaotic systems are more ergodic.","PeriodicalId":501231,"journal":{"name":"arXiv - PHYS - Cellular Automata and Lattice Gases","volume":"61 47","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138510824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Helena Christina Piuvezam, Bóris Marin, Mauro Copelli, Miguel A. Muñoz
{"title":"Unconventional criticality, scaling breakdown, and diverse universality classes in the Wilson-Cowan model of neural dynamics","authors":"Helena Christina Piuvezam, Bóris Marin, Mauro Copelli, Miguel A. Muñoz","doi":"arxiv-2301.06839","DOIUrl":"https://doi.org/arxiv-2301.06839","url":null,"abstract":"The Wilson-Cowan model constitutes a paradigmatic approach to understanding\u0000the collective dynamics of networks of excitatory and inhibitory units. It has\u0000been profusely used in the literature to analyze the possible phases of neural\u0000networks at a mean-field level, e.g., assuming large fully-connected networks.\u0000Moreover, its stochastic counterpart allows one to study fluctuation-induced\u0000phenomena, such as avalanches. Here, we revisit the stochastic Wilson-Cowan\u0000model paying special attention to the possible phase transitions between\u0000quiescent and active phases. We unveil eight possible types of phase\u0000transitions, including continuous ones with scaling behavior belonging to known\u0000universality classes -- such as directed percolation and tricritical directed\u0000percolation -- as well as novel ones. In particular, we show that under some\u0000special circumstances, at a so-called Hopf tricritical directed percolation\u0000transition, rather unconventional behavior including an anomalous breakdown of\u0000scaling emerges. These results broaden our knowledge of the possible types of\u0000critical behavior in networks of excitatory and inhibitory units and are of\u0000relevance to understanding avalanche dynamics in actual neuronal recordings.\u0000From a more general perspective, these results help extend the theory of\u0000non-equilibrium phase transitions into quiescent or absorbing states.","PeriodicalId":501231,"journal":{"name":"arXiv - PHYS - Cellular Automata and Lattice Gases","volume":"56 25","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138511042","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fernando S. Filho, Gustavo A. L. Forão, D. M. Busiello, B. Cleuren, Carlos E. Fiore
{"title":"Powerful ordered collective heat engines","authors":"Fernando S. Filho, Gustavo A. L. Forão, D. M. Busiello, B. Cleuren, Carlos E. Fiore","doi":"arxiv-2301.06591","DOIUrl":"https://doi.org/arxiv-2301.06591","url":null,"abstract":"We introduce a class of engines whereby units operating synchronously can be\u0000harnessed for levering its performance and also guiding the regime of\u0000operation. Our approach encompasses a minimal setup composed of $N$ interacting\u0000unities placed in contact with two thermal baths and subjected to a constant\u0000driving worksource. The interplay between synchronized unities and optimal\u0000parameter choices provide maximal power and efficiency, the former and latter\u0000being able to reach Curzon-Ahlborn $eta_{CA}$ (including greater than\u0000$eta_{CA}$) and Carnot $eta_c$ bounds, respectively. The main system features\u0000are captured by treating ordered effects through a phenomenological model and a\u0000linear analysis near the equilibrium regime. The present framework paves the\u0000way for the building of promising nonequilibrium thermal machines based on\u0000ordered structures.","PeriodicalId":501231,"journal":{"name":"arXiv - PHYS - Cellular Automata and Lattice Gases","volume":"61 18","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138510838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Thermodynamics in Stochastic Conway Game of Life","authors":"Krzysztof Pomorski, Dariusz Kotula","doi":"arxiv-2301.03195","DOIUrl":"https://doi.org/arxiv-2301.03195","url":null,"abstract":"Cellular automata can simulate many complex physical phenomena using the\u0000power of simple rules. The presented methodological platform expresses the\u0000concept of programmable matter in which Newtons laws of motion are one of\u0000examples. Energy has been introduced as the equivalent of the Game of Life\u0000mass, which can be treated as first level of approximation. The temperature\u0000presence and propagation was calculated for various lattice topology and\u0000boundary conditions by using the Shannon entropy measure. The conducted study\u0000provides strong evidence that despite not fulfillment the principle of mass and\u0000energy conservation, the entropy, mass distribution and temperatures approaches\u0000thermodynamic equilibrium. In addition, the described cellular automata system\u0000transits from positive to a negative temperatures that stabilizes and can be\u0000treated as a signature of system dynamical equilibrium. Furthermore the system\u0000dynamics was presented in case of few species of cellular automata competing\u0000for maximum presence on given lattice with different boundary conditions.","PeriodicalId":501231,"journal":{"name":"arXiv - PHYS - Cellular Automata and Lattice Gases","volume":"61 34","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138510833","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Lattice Boltzmann Model in General Curvilinear Coordinates Applied to Exactly Solvable 2D Flow Problems","authors":"Alexei Chekhlov, Ilya Staroselsky, Raoyang Zhang, Hudong Chen","doi":"arxiv-2301.01868","DOIUrl":"https://doi.org/arxiv-2301.01868","url":null,"abstract":"Numerical simulation results of basic exactly solvable fluid flows using the\u0000previously proposed Lattice Boltzmann Method (LBM) formulated on a general\u0000curvilinear coordinate system are presented. As was noted in the theoretical\u0000work of H. Chen, such curvilinear Lattice Boltzmann Method preserves a\u0000fundamental one-to-one exact advection feature in producing minimal numerical\u0000diffusion, as the Cartesian lattice Boltzmann model. As we numerically show,\u0000the new model converges to exact solutions of basic fluid flows with the\u0000increase of grid resolution in the presence of both natural curvilinear\u0000geometry and/or grid non-uniform contraction, both for near equilibrium and\u0000non-equilibrium LBM parameter choices.","PeriodicalId":501231,"journal":{"name":"arXiv - PHYS - Cellular Automata and Lattice Gases","volume":"61 17","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138510839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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