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The real time evolution of field condensates with soft length scales k^{-1}>(eT)^{-1} is solved in hot scalar electrodynamics, with a view towards understanding relaxational phenomena in the QGP and the electroweak plasma. We find that…

High Energy Physics - Phenomenology · Physics 2011-04-15 Daniel Boyanovsky , Hector J. de Vega , Richard Holman , S. Prem Kumar , Robert D. Pisarski

The relaxational dynamics of 1+1 dimensional directed polymer in random potential is studied by Monte Carlo simulation. A series of temperature quench experiments is performed changing waiting times. Clear crossover from quasi-equilibrium…

Condensed Matter · Physics 2009-10-28 Hajime Yoshino

Relaxation process of a coherent scalar field oscillation in the thermal bath is investigated using nonequilibrium quantum field theory. The Langevin-type equation of motion is obtained which has a memory term and both additive and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jun'ichi Yokoyama

The process of relaxation of a system of particles interacting with long-range forces is relevant to many areas of Physics. For obvious reasons, in Stellar Dynamics much attention has been paid to the case of 1/r^2 force law. However,…

Astrophysics of Galaxies · Physics 2015-05-27 P. Di Cintio , L. Ciotti

We study the process of relaxation back to thermal equilibrium in $(1+1)$-dimensional conformal field theory at finite temperature. When the size of the system is much larger than the inverse temperature, perturbations decay exponentially…

High Energy Physics - Theory · Physics 2009-11-07 Danny Birmingham , Ivo Sachs , Sergey N. Solodukhin

We describe the nonzero temperature (T), low frequency (\omega) dynamics of the order parameter near quantum critical points in two spatial dimensions (d), with a special focus on the regime \hbar\omega << k_B T. For the case of a…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev

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…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gert Aarts , Gian Franco Bonini , Christof Wetterich

We revisit the issue of relaxation to thermal equilibrium in the so-called "sheet model", i.e., particles in one dimension interacting by attractive forces independent of their separation. We show that this relaxation may be very clearly…

Statistical Mechanics · Physics 2010-11-03 Michael Joyce , Tirawut Worrakitpoonpon

We study the real-time evolution of SU($2$) Yang-Mills theory in a $(3+1)$ dimensional small lattice system after interaction quench. We numerically solve the Schr{\"o}dinger equation with the Kogut-Susskind Hamiltonian in the physical…

High Energy Physics - Lattice · Physics 2021-05-19 Tomoya Hayata , Yoshimasa Hidaka

We study thermalization by applying gradient expansion to the Kadanoff-Baym equations of the 2PI effective action to two-loop in a theory with Dirac fermions coupled to scalars. In addition to those chemical potentials which equilibrate in…

High Energy Physics - Phenomenology · Physics 2010-04-21 Bjorn Garbrecht , Thomas Konstandin

A new approach to the dynamics of relaxation and kinetics of thermalization in a scalar field theory is presented that incorporates the relevant time scales through the resummation of hard thermal loops. An alternative derivation of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Boyanovsky , I. D. Lawrie , D. S. Lee

We consider the common spin-1/2 XX-model in one dimension with open boundary conditions and a large but finite number of spins. The system is in thermal equilibrium at times t<0, and is subject to a weak local perturbation (quantum quench)…

Statistical Mechanics · Physics 2025-02-27 Peter Reimann , Christian Eidecker-Dunkel

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…

High Energy Physics - Theory · Physics 2024-11-06 Dalila Pîrvu , Andrey Shkerin , Sergey Sibiryakov

We consider a massive scalar field living on the recently found exact quantum space-time corresponding to vacuum spherically symmetric loop quantum gravity. The discreteness of the quantum space time naturally regularizes the scalar field,…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Nahuel Barrios , Rodolfo Gambini , Jorge Pullin

We study the relaxation towards thermodynamical equilibrium of a 1-D gravitational system. This OSC model shows a series of critical energies $E_{cn}$ where new equilibria appear and we focus on the homogeneous ($n=0$), one-peak ($n=\pm 1$)…

Astrophysics · Physics 2009-11-11 Patrick Valageas

Onsager's regression hypothesis connects the temporal relaxation of close-to-equilibrium systems with their dynamical correlation functions at thermal equilibrium. While the hypothesis is provably correct in classical systems, it is known…

Statistical Mechanics · Physics 2024-07-17 Peter Reimann , Christian Eidecker-Dunkel

Whether and how a system reaches thermalization is a fundamental issue of statistical physics. While for one-dimensional lattices this issue has been intensively studied in terms of energy equipartition for more than half a century, few…

Statistical Mechanics · Physics 2024-05-29 Zhen Wang , Weicheng Fu , Yong Zhang , Hong Zhao

Dimensional reduction of high temperature field theories improves IR features of their perturbative treatment. A crucial question is, what three-dimensional theory is representing the full system the most faithful way. Careful investigation…

High Energy Physics - Phenomenology · Physics 2016-09-01 Antal Jakovac

The real time evolution of field condensates is solved for small and large field amplitudes in scalar theories.For small amplitudes,the quantum equations of motion for the condensate can be linearized and solved by Laplace transform. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , H. J. de Vega , R. Holman , S. Prem Kumar , Rob D. Pisarski , J. Salgado

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…

Statistical Mechanics · Physics 2026-04-07 Zhenwei Yao
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