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We investigate a novel type of Langevin model that describes the nonequilibrium dynamics of a classical particle interacting with a spatially extended environment. In this model, a particle, which interacts with the environment through the…

Statistical Mechanics · Physics 2015-10-20 Taiki Haga

Molecular dynamics (MD) simulation based on Langevin equation has been widely used in the study of structural, thermal properties of matters in difference phases. Normally, the atomic dynamics are described by classical equations of motion…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 Jing-Tao Lü , Bing-Zhong Hu , Per Hedegård , Mads Brandbyge

The application of quantum Langevin equations for the study of non-equilibrium relaxations is illustrated in the exactly solved quantum spherical model. Tutorial sections on the physical background of non-markovian quantum noise, the…

High Energy Physics - Theory · Physics 2023-03-06 Malte Henkel

We solve coupled momentum-dependent Boltzmann equations for the phase space distribution of cosmic relic particles, without resorting to approximations of assuming kinetic equilibrium or neglecting backscattering or elastic interactions.…

High Energy Physics - Phenomenology · Physics 2022-06-09 Kalle Ala-Mattinen , Matti Heikinheimo , Kimmo Kainulainen , Kimmo Tuominen

The nonequilibrium effective equation of motion for a scalar background field in a thermal bath is studied numerically. This equation emerges from a microscopic quantum field theory derivation and it is suitable to a Langevin simulation on…

Nuclear Theory · Physics 2008-11-26 R. L. S. Farias , N. C. Cassol-Seewald , G. Krein , R. O. Ramos

We consider Langevin dynamics associated with a modified kinetic energy vanishing for small momenta. This allows us to freeze slow particles, and hence avoid the re-computation of inter-particle forces, which leads to computational gains.…

Statistical Mechanics · Physics 2016-07-20 Stephane Redon , Gabriel Stoltz , Zofia Trstanova

We discuss how to derive a Langevin equation (LE) in non standard systems, i.e. when the kinetic part of the Hamiltonian is not the usual quadratic function. This generalization allows to consider also cases with negative absolute…

Statistical Mechanics · Physics 2018-04-12 M. Baldovin , A. Puglisi , A. Vulpiani

The theoretical treatment of Fermi systems consisting of particles with unequal masses is challenging. Even in one spatial dimension analytic solutions are limited to special configurations and numerical progress with Monte Carlo…

Quantum Gases · Physics 2018-07-19 Lukas Rammelmüller , Joaquín E. Drut , Jens Braun

We present lattice simulations of nonequilibrium quantum fields in Minkowskian space-time. Starting from a non-thermal initial state, the real-time quantum ensemble in 3+1 dimensions is constructed by a stochastic process in an additional…

High Energy Physics - Lattice · Physics 2009-11-11 J. Berges , I. -O. Stamatescu

We examine the non-thermal production of dark matter in a scalar extended singlet doublet fermion model where the lightest admixture of the fermions constitutes a suitable dark matter candidate. The dark sector is non-minimal with the MeV…

High Energy Physics - Phenomenology · Physics 2022-10-10 Purusottam Ghosh , Partha Konar , Abhijit Kumar Saha , Sudipta Show

The final-state particles from cosmological dark matter co-annihilation are expected to equilibrate. As dictated by Hard Thermal Loop resummation, the spectrum of equilibrated quasiparticles is richer than in vacuum, with a massless gauge…

High Energy Physics - Phenomenology · Physics 2025-09-05 S. Biondini , M. Eriksson , M. Laine

A simple and computationally efficient algorithm enables implementing negative temperature values in a spin dynamics simulation. The algorithm uses a Langevin spin dynamics thermostat with a negative damping parameter, enabling the…

Materials Science · Physics 2024-03-05 Pui-Wai Ma , Sergei L. Dudarev

Different quantum Langevin equations obtained by coupling a particle to a field are examined. Instabilities or violations of causality affect the motion of a point charge linearly coupled to the electromagnetic field. In contrast, coupling…

Quantum Physics · Physics 2023-04-14 Marc-Thierry Jaekel , Serge Reynaud

Langevin dynamics has found a large number of applications in sampling, optimization and estimation. Preconditioning the gradient in the dynamics with the covariance - an idea that originated in literature related to solving estimation and…

Probability · Mathematics 2025-04-28 Axel Ringh , Akash Sharma

We consider the problem of equilibration of a single oscillator system with dynamics given by the generalized Langevin equation. It is well-known that this dynamics can be obtained if one considers a model where the single oscillator is…

Statistical Mechanics · Physics 2009-11-11 Abhishek Dhar , Kshitij Wagh

The Generalized Langevin Equation (GLE) has been recently suggested to simulate the time evolution of classical solid and molecular systems when considering general non-equilibrium processes. In this approach, a part of the whole system (an…

Statistical Mechanics · Physics 2014-04-23 L. Stella , C. D. Lorenz , L. Kantorovich

In recent decades, computer experiments have led to an accurate and fundamental understanding of atomic and molecular mechanisms in fluids, such as different kinds of relaxation processes toward steady physical states. In this paper, we…

Soft Condensed Matter · Physics 2023-08-01 Omid Mozafar , Colin Denniston

When simulating molecular systems using deterministic equations of motion (e.g., Newtonian dynamics), such equations are generally numerically integrated according to a well-developed set of algorithms that share commonly agreed-upon…

Computational Physics · Physics 2014-08-08 David A. Sivak , John D. Chodera , Gavin E. Crooks

Particles and fields are standard components in numerical simulations like transport simulations in nuclear physics and have very well understood dynamics. Still, a common problem is the interaction between particles and fields due to their…

High Energy Physics - Phenomenology · Physics 2015-04-16 Christian Wesp , Hendrik van Hees , Alex Meistrenko , Carsten Greiner

The recently discovered supersymmetric generalizations of Langevin dynamics and Kramers equation can be utilized for the exploration of free energy landscapes of systems whose large time-scale separation hampers the usefulness of standard…

Statistical Mechanics · Physics 2007-05-23 Alessandro Mossa , Cecilia Clementi
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