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According to theorems of Shnirelman and followers, in the semiclassical limit the quantum wavefunctions of classically ergodic systems tend to the microcanonical density on the energy shell. We here develop a semiclassical theory that…

A new class of lattice gas models with trivial interactions but constrained dynamics are introduced. These are proven to exhibit a dynamical glass transition: above a critical density, rho_c, ergodicity is broken due to the appearance of an…

统计力学 · 物理学 2009-11-11 Cristina Toninelli , Giulio Biroli , Daniel S. Fisher

Multistability is an inseparable feature of many physical, chemical and biological systems which are driven far from equilibrium. In these nonequilibrium systems, stochastic dynamics often induces switching between distinct states on…

适应与自组织系统 · 物理学 2017-11-01 Guram Gogia , Justin Burton

We investigate the nonequilibrium dynamics of a laser-pumped two-dimensional spinless Holstein model within a semiclassical framework, focusing on the melting and recovery of long-range charge-density-wave order. Accurately describing this…

强关联电子 · 物理学 2026-02-04 Sankha Subhra Bakshi , Yunhao Fan , Gia-Wei Chern

In this work, we introduce an information-theoretic approach for considering changes in dynamics of finitely dimensional open quantum systems governed by master equations. This experimentally motivated approach arises from considering how…

量子物理 · 物理学 2021-05-03 Katarzyna Macieszczak

We analyze the late-time relaxation dynamics for a general contagion model. In this model, nodes are either active or failed. Active nodes can fail either "spontaneously" at any time or "externally" if their neighborhoods are sufficiently…

物理与社会 · 物理学 2020-12-18 Paul Richter , Malte Henkel , Lucas Böttcher

When a liquid melt is cooled, a glass or phase transition can be obtained depending on the cooling rate. Yet, this behavior has not been clearly captured in energy landscape models. Here a model is provided in which two key ingredients are…

统计力学 · 物理学 2015-10-12 Gerardo G. Naumis

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition…

材料科学 · 物理学 2011-07-28 Daniel A. Cogswell , W. Craig Carter

Consider a droplet of liquid on top of a grooved substrate. The wetting or not of a groove implies the crossing of a potential barrier as the interface has to distort, to hit the bottom of the groove. We start with computing the free…

统计力学 · 物理学 2015-05-27 Joel De Coninck , François Dunlop , Thierry Huillet

We propose a thermodynamically consistent general-purpose model describing diffusion of a solute or a fluid in a solid undergoing possible phase transformations and damage, beside possible visco-inelastic processes. Also heat…

数学物理 · 物理学 2015-10-28 Tomas Roubicek , Giuseppe Tomassetti

Exceptional point in non-Hermitian system possesses fascinating properties. We present an exactly solvable attractor dynamics for the first time from a two-level time dependent non-Hermitian Hamiltonian. It allows a way to evolve to the…

量子物理 · 物理学 2021-12-14 C. Li , P. Wang , L. Jin , Z. Song

The isolated one-dimensional Heisenberg model with static random magnetic fields has become paradigmatic for the analysis of many-body localization. Here, we study the dynamics of this system initially prepared in a highly-excited…

无序系统与神经网络 · 物理学 2015-07-27 E. J. Torres-Herrera , Lea F. Santos

By generalizing a class of models recently introduced to account for protracted transients in biological systems, we identify a novel mechanism for hyperuniformity. In this model, competition of particles over a shared resource guides the…

统计力学 · 物理学 2025-12-11 Tal Agranov , Natan Wiegenfeld , Omer Karin , Benjamin D. Simons

Vegetation patterns are a ubiquitous feature of water-deprived ecosystems. Despite the competition for the same limiting resource, coexistence of several plant species is commonly observed. We propose a two-species reaction-diffusion model…

种群与进化 · 定量生物学 2019-11-26 Lukas Eigentler , Jonathan A. Sherratt

We study in detail an open quantum generalisation of a classical kinetically constrained model -- the East model -- known to exhibit slow glassy dynamics stemming from a complex hierarchy of metastable states with distinct lifetimes. Using…

统计力学 · 物理学 2020-10-30 Dominic C. Rose , Katarzyna Macieszczak , Igor Lesanovsky , Juan P. Garrahan

We study the correlated Haldane-Hubbard model with single-particle gain and loss, focusing on its non-Hermitian phase diagram and the ensuing non-unitary dynamic properties. The interplay of interactions and non-hermiticity results in…

强关联电子 · 物理学 2025-05-05 Tian-Cheng Yi , Rubem Mondaini

We explore the dynamics of active elements performing persistent random motion with fluctuating active speed and in the presence of translational noise in a $d$-dimensional harmonic trap, modeling active speed generation through an…

统计力学 · 物理学 2025-02-18 Manish Patel , Amir Shee , Debasish Chaudhuri

The paper concerns the construction of a compressible liquid-vapor relaxation model which is able to capture the metastable states of the non isothermal van der Waals model as well as saturation states. Starting from the Gibbs formalism, we…

偏微分方程分析 · 数学 2019-11-01 Hala Ghazi , Francois James , Hélène Mathis

Ageing phenomena are observed in a large variety of dynamical systems exhibiting a slow relaxation from a non-equilibrium initial state. Ageing can be characterised in terms of the linear response R(t,s) at time t to a local perturbation at…

统计力学 · 物理学 2007-11-08 Haye Hinrichsen

The main contribution of the current study is two-fold. First, we investigate the energy landscape of the Ising and Potts models on finite two-dimensional lattices without external fields in the low temperature regime. The complete analysis…

概率论 · 数学 2023-01-05 Seonwoo Kim , Insuk Seo