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The linear perturbation renormalization group is used to study spinless two-band fermion chains at half-filling. The model consists of two species of spinless fermions, namely localized f and extended p, and it takes into account the…

Strongly Correlated Electrons · Physics 2015-06-11 Jozef Sznajd

We analyze theoretically the finite-temperature polarization dynamic in displacive-type ferroelectrics. In particular we consider the thermally-activated switching time of a single-domain ferroelectric polarization studied by means of the…

Materials Science · Physics 2016-12-21 S. R. Etesami , A. Sukhov , J. Berakdar

The limit of small entropy production is reached in relaxing systems long after preparation, and in stationary driven systems in the limit of small driving power. Surprisingly, for extended systems this limit is not in general the…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo , Jorge Kurchan

We employ the numerical linked-cluster expansion to study finite-temperature properties of the uniform cubic lattice Hubbard model in the thermodynamic limit for a wide range of interaction strengths and densities. We carry out the…

Strongly Correlated Electrons · Physics 2016-09-13 Ehsan Khatami

We discuss the dynamics and thermodynamics of systems with weak long-range interactions. Generically, these systems experience a violent collisionless relaxation in the Vlasov regime leading to a (usually) non-Boltzmannian quasi stationary…

Statistical Mechanics · Physics 2009-11-13 Pierre-Henri Chavanis

We study the emergence of a crossover from entropically driven to thermally activated dynamics in different versions of the `entropic' phase space model introduced by Barrat and M\'ezard, and previously considered in the zero temperature…

Disordered Systems and Neural Networks · Physics 2009-11-10 Eric M. Bertin

Significant attention has been devoted to the problem of thermalization of observables in isolated quantum setups by individual eigenstates. Here, we address this issue from an open quantum system perspective, examining an isolated setup…

Quantum Physics · Physics 2025-01-15 Krzysztof Ptaszynski , Massimiliano Esposito

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

Statistical Mechanics · Physics 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

The current theoretical and experimental situation is reviewed for low-dimensional (layered and chain-like) insulating systems. Such systems possess a low magnetic transition temperature $T_M$ and pronounced short-range magnetic order above…

Strongly Correlated Electrons · Physics 2021-02-17 A. A. Katanin , V. Yu. Irkhin

We propose a new mathematical tool for the study of transport properties of models for lattice vibrations in crystalline solids. By replication of dynamical degrees of freedom, we aim at a new dynamical system where the "local" dynamics can…

Mathematical Physics · Physics 2015-06-17 Jani Lukkarinen

We numerically simulate a thermalization process in an energy landscape with hierarchically organized metastable states. The initial configuration is chosen to have a large energy excess, relative to the thermal equilibrium value at the…

Statistical Mechanics · Physics 2009-11-13 Andreas Fischer , Paolo Sibani , Karl Heinz Hoffmann

The nonlinear evolution of an ion ring instability in a low-beta magnetospheric plasma is considered. The evolution of the two-dimensional ring distribution is essentially quasilinear. Ignoring nonlinear processes the time-scale for the…

Plasma Physics · Physics 2015-05-27 M. Mithaiwala , L. Rudakov1 , G. Ganguli , C. Crabtree

We establish a functional weak law of large numbers for observable macroscopic state variables of interacting particle systems (e.g., voter and contact processes) over fast time-varying sparse random networks of interactions. We show that,…

Probability · Mathematics 2017-03-01 Augusto Almeida Santos , Soummya Kar , José M. F. Moura , João Xavier

In the study of weakly turbulent wave systems possessing incomplete self-similarity it is possible to use dimensional arguments to derive the scaling exponents of the Kolmogorov-Zakharov spectra, provided the order of the resonant wave…

Fluid Dynamics · Physics 2009-11-10 Colm Connaughton , Sergey Nazarenko , Alan C. Newell

We suggest that if a localized phase at nonzero temperature $T>0$ exists for strongly disordered and weakly interacting electrons, as recently argued, it will also occur when both disorder and interactions are strong and $T$ is very high.…

Strongly Correlated Electrons · Physics 2009-11-11 Vadim Oganesyan , David A. Huse

We study the disorder-induced crossover between the two recently discovered thermalization slowing-down universality classes -- characterized by long- and short-range coupling -- in classical unitary circuits maps close to integrability. We…

Chaotic Dynamics · Physics 2024-03-28 Weihua Zhang , Gabriel M. Lando , Barbara Dietz , Sergej Flach

Simulating non-equilibrium phenomena in strongly-interacting quantum many-body systems, including thermalization, is a promising application of near-term and future quantum computation. By performing experiments on a digital quantum…

Quantum Physics · Physics 2025-09-19 Niklas Mueller , Tianyi Wang , Or Katz , Zohreh Davoudi , Marko Cetina

We study the thermalization of a small $XX$ chain coupled to long, gapped $XXZ$ leads at either side by observing the relaxation dynamics of the whole system. Using extensive tensor network simulations, we show that such systems, although…

Statistical Mechanics · Physics 2023-03-09 Marko Ljubotina , Dibyendu Roy , Tomaž Prosen

Nonintegrability plays a crucial role in thermalization and transport processes in many-body Hamiltonian systems, yet its quantitative effects remain unclear. To reveal the connection between the macroscopic relaxation properties and the…

Statistical Mechanics · Physics 2023-10-20 Weicheng Fu , Zhen Wang , Yisen Wang , Yong Zhang , Hong Zhao

We study the thermodynamics of open systems weakly driven out-of-equilibrium by nonconservative and time-dependent forces using the linear regime of stochastic thermodynamics. We make use of conservation laws to identify the potential and…

Statistical Mechanics · Physics 2022-10-13 Danilo Forastiere , Riccardo Rao , Massimiliano Esposito