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We consider a dc-driven damped sine-Gordon model with a small nonlinear spatial-disorder term, onto which a sinusoidal modulation is superimposed. It describes, e.g., a weakly disordered system with a regular grain structure. We demonstrate…

Disordered Systems and Neural Networks · Physics 2009-10-31 Eva Majernikova , Jaroslav Riedel , Boris A. Malomed

Complex fluids in shear flow and biased dynamics in crowded environments exhibit counterintuitive features which are difficult to address both at theoretical level and by molecular dynamic simulations. To understand some of these features…

Soft Condensed Matter · Physics 2012-09-19 Francesco Turci , Estelle Pitard , Mauro Sellitto

We review the use of kinetically constrained models (KCMs) for the study of dynamics in glassy systems. The characteristic feature of KCMs is that they have trivial, often non-interacting, equilibrium behaviour but interesting slow dynamics…

Statistical Mechanics · Physics 2007-05-23 Felix Ritort , Peter Sollich

We investigate kink-antikink collisions in a model characterized by two scalar fields in the presence of geometric constrictions. The model includes an auxiliary function that modifies the kinematics associated with one of the two fields.…

High Energy Physics - Theory · Physics 2023-10-31 João G. F. Campos , Fabiano C. Simas , D. Bazeia

We present a framework for constructing physics and causally constrained neural models of turbulent dynamical systems from data. We first formulate a finite-time flow map with strict energy-preserving nonlinearities for stable modeling of…

Chaotic Dynamics · Physics 2026-04-15 Fabrizio Falasca , Laure Zanna

We suggest kinetic models of dissipation for an ensemble of interacting oriented particles, for example, moving magnetized particles. This is achieved by introducing a double bracket dissipation in kinetic equations using an oriented…

Adaptation and Self-Organizing Systems · Physics 2008-10-29 Darryl D. Holm , Vakhtang Putkaradze , Cesare Tronci

We develop a rigorous formalism for the description of the kinetic evolution of many-particle systems with the dissipative interaction. The relationships of the evolution of a hard sphere system with inelastic collisions described within…

Mathematical Physics · Physics 2013-12-23 M. S. Borovchenkova , V. I. Gerasimenko

Strong disorder inhibits thermalization in isolated quantum systems and may lead to many-body localization (MBL). In realistic situations, however, the observation of MBL is hindered by residual couplings of the system to an environment,…

Statistical Mechanics · Physics 2024-04-01 Jonas Richter

Recent advances in quantum simulators permit unitary evolution interspersed with locally resolved mid-circuit measurements. This paves the way for the observation of large-scale space-time structures in quantum trajectories and opens a…

We investigate the non-equilibrium dynamics of a class of isolated one-dimensional systems possessing two degenerate ground states, initialized in a low-energy symmetric phase. We report the emergence of a time-scale separation between fast…

Statistical Mechanics · Physics 2020-04-01 Alvise Bastianello , Alessio Chiocchetta , Leticia F. Cugliandolo , Andrea Gambassi

We study systematically the non-Markovian decoherence dynamics of a dissipative two-level system, i.e., the so-called spin-boson model. It is interesting to find that the decoherence tends to be inhibited with the increase of the coupling…

Quantum Physics · Physics 2013-06-04 Hai-Bin Liu , Jun-Hong An , Chong Chen , Qing-Jun Tong , Hong-Gang Luo , C. H. Oh

By generalising concepts from classical stochastic dynamics, we establish the basis for a theory of metastability in Markovian open quantum systems. Partial relaxation into long-lived metastable states - distinct from the asymptotic…

Statistical Mechanics · Physics 2016-06-23 Katarzyna Macieszczak , Madalin Guta , Igor Lesanovsky , Juan P. Garrahan

We introduce and investigate an open many-body quantum system in which kinetically constrained coherent and dissipative processes compete. The form of the incoherent dissipative dynamics is inspired by that of epidemic spreading or…

Statistical Mechanics · Physics 2022-10-12 Federico Carollo , Markus Gnann , Gabriele Perfetto , Igor Lesanovsky

This paper develops a bridge between bi-Hamiltonian structures of Poisson-Lie type, contact Hamiltonian dynamics, and the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) formalism for quantum open systems. On the classical side, we consider…

Mathematical Physics · Physics 2026-02-11 Leonardo Colombo , Asier López-Gordón

We investigate the universal dissipationless dynamics of Gaussian continuous-variable systems in the presence of a band-gapped bosonic environment. Our results show that environmental band gaps can induce localized modes, which give rise to…

Quantum Physics · Physics 2018-12-05 Han-Jie Zhu , Guo-Feng Zhang , Lin Zhuang , Wu-Ming Liu

We investigate how to model Markovian evolution of coupled harmonic oscillators, each of them interacting with a local environment. When the coupling between the oscillators is weak, dissipation may be modeled using local Lindblad terms for…

Quantum Physics · Physics 2014-12-17 Chaitanya Joshi , Patrik Ohberg , James D. Cresser , Erika Andersson

The explicit dynamics of the moments for the GKSL equation and the approach in finding stationary Gaussian states are obtained. In our case the GKSL equation corresponds to Wiener stochastic processes. Such equations contain a double…

Mathematical Physics · Physics 2022-10-04 D. D. Ivanov , A. E. Teretenkov

Muon spin relaxation is a powerful technique for probing static and dynamic local magnetic fields. The strong collision model, based on a Gaussian-Markovian process, is commonly used to account for dynamical effects. Yet, it remains limited…

Strongly Correlated Electrons · Physics 2025-09-01 Ola Kenji Forslund

Full information about a many-body quantum system is usually out-of-reach due to the exponential growth -- with the size of the system -- of the number of parameters needed to encode its state. Nonetheless, in order to understand the…

Dynamic facilitation theory assumes short-ranged dynamic constraints to be the essential feature of supercooled liquids and draws much of its conclusions from the study of kinetically constrained models. While deceptively simple, these…

Materials Science · Physics 2012-06-12 Thomas Speck , David Chandler