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We study the dynamics of thermalization and the approach to equilibrium in the classical phi^4 theory in 1+1 spacetime dimensions. At thermal equilibrium we exploit the equivalence between the classical canonical averages and transfer…

高能物理 - 唯象学 · 物理学 2014-11-17 D. Boyanovsky , C. Destri , H. J. de Vega

Using a Hartree ensemble approximation, we investigate the dynamics of the \f^4 model in 1+1 dimensions. We find that the fields initially thermalize with a Bose-Einstein distribution for the fields. Gradually, however, the distribution…

高能物理 - 唯象学 · 物理学 2017-08-23 M. Salle , J. Smit , J. C. Vink

We study thermal behavior of a recently introduced Hartree ensemble approximation, which allows for non-perturbative inhomogeneous field configurations as well as for approximate thermalization, in the $\phi^4$ model in 1+1 dimensions.…

高能物理 - 唯象学 · 物理学 2015-06-25 M. Salle , J. Smit , J. C. Vink

Thermalization of classical fields is investigated in a \phi^4 scalar field theory in 1+1 dimensions, discretized on a lattice. We numerically integrate the classical equations of motion using initial conditions sampled from various…

高能物理 - 唯象学 · 物理学 2009-10-31 Gert Aarts , Gian Franco Bonini , Christof Wetterich

Using an improved version of the Hartree approximation, allowing for ensembles of inhomogeneous configurations, we show in a $\lambda \phi^4$ theory, that initially the system thermalises with a Bose-Einstein distribution. For later times…

高能物理 - 唯象学 · 物理学 2009-10-31 M. Salle , J. Smit , J. C. Vink

We describe a Hartree ensemble method to approximately solve the Heisenberg equations for the \phi^4 model in 1+1 dimensions. We compute the energies and number densities of the quantum particles described by the \phi field and find that…

高能物理 - 格点 · 物理学 2016-09-01 M. Salle , J. Smit , J. C. Vink

Understanding the rich spatial and temporal structures in nonequilibrium thermal environments is a major subject of statistical mechanics. Because universal laws, based on an ensemble of systems, are mute on an individual system, exploring…

统计力学 · 物理学 2019-04-19 Liyi Zhao , Ping Fang , Chushun Tian

Optical thermalization has been recently studied theoretically and experimentally in the 2D spatial evolution of (quasi-)monochromatic light waves propagating in multimode fibers. In this work, we investigate the spatio-temporal equilibrium…

The four dimensional critical scalar theory at equilibrium with a thermal bath at temperature $T$ is considered. The thermal equilibrium state is labeled by $n$ the winding number of the vacua around the compact imaginary-time direction…

高能物理 - 理论 · 物理学 2021-02-25 Farhang Loran

We numerically study the evolution of a classical real scalar field in ${(1+1)}$ dimensions with initial conditions describing thermal fluctuations around a metastable vacuum. We track false vacuum decay in real time and compare several…

高能物理 - 理论 · 物理学 2024-11-06 Dalila Pîrvu , Andrey Shkerin , Sergey Sibiryakov

This work is devoted to the study of relaxation--dissipation processes in systems described by Quantum Field Theory. In the first part, I focus on the phi^4 scalar quantum field theory in finite volume in the large N limit. I find that the…

高能物理 - 唯象学 · 物理学 2007-05-23 E. Manfredini

We investigate the thermodynamics of integrable classical field theories under the effect of a random initial configuration, motivated by the nonequilibrium evolution of quantum field theories. The approach to thermal equilibrium is…

统计力学 · 物理学 2016-10-05 P. E. G. Assis

Thermalization is the dynamical process by which a many-body system evolves toward a thermal equilibrium state that maximizes its entropy. In certain cases, however, the establishment of thermal equilibrium is significantly slowed down and…

量子气体 · 物理学 2022-09-07 Murad Abuzarli , Nicolas Cherroret , Tom Bienaimé , Quentin Glorieux

We examine the nonequilibrium dynamics of a self-interacting $\lambda\phi^4$ scalar field theory. Using a real time formulation of finite temperature field theory we derive, up to two loops and $O(\lambda^2)$, the effective equation of…

高能物理 - 唯象学 · 物理学 2009-10-22 M. Gleiser , R. O. Ramos

Prethermalization has been extensively studied in systems close to integrability. We propose a more general, yet conceptually simpler, setup for this phenomenon. We consider a---possibly nonintegrable---reference dynamics, weakly perturbed…

统计力学 · 物理学 2019-05-13 Krishnanand Mallayya , Marcos Rigol , Wojciech De Roeck

Understanding the realization of thermal equilibrium through the thermalization process in a many-body system is a fundamental and complex scientific question, bridging thermodynamics and classical dynamics and connecting to a host of…

统计力学 · 物理学 2026-04-07 Zhenwei Yao

We investigate the nonequilibrium evolution of the quark-meson model using two-particle irreducible effective action techniques. Our numerical simulations, which include the full dynamics of the order parameter of chiral symmetry, show how…

高能物理 - 唯象学 · 物理学 2020-08-04 Linda Shen , Jürgen Berges , Jan M. Pawlowski , Alexander Rothkopf

We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalization of various observables, such as particle energies in…

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…

量子物理 · 物理学 2025-09-19 Niklas Mueller , Tianyi Wang , Or Katz , Zohreh Davoudi , Marko Cetina

The phenomenon of prethermalization and the subsequent steps of thermalization are analyzed in the framework of the chiral quark model. We solve the quantum equations of motion of the field theory derived from the 2PI effective action and…

高能物理 - 唯象学 · 物理学 2017-08-23 Szabolcs Borsanyi
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