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After establishing stochastic thermodynamics for underdamped Langevin systems in contact with multiple reservoirs, we derive its overdamped limit using timescale separation techniques. The overdamped theory is different from the naive…

Statistical Mechanics · Physics 2017-01-03 Yûto Murashita , Massimiliano Esposito

The concept of temperature in nonequilibrium thermodynamics is an outstanding theoretical issue. We propose an energy repartition principle that leads to a spectral (mode-dependent) temperature in steady-state nonequilibrium systems. The…

Mesoscale and Nanoscale Physics · Physics 2017-01-19 Peng Yan , Gerrit E. W. Bauer , Huaiwu Zhang

We study anomalous diffusion for one-dimensional systems described by a generalized Langevin equation. We show that superdiffusion can be classified in normal superdiffusion and fast superdiffusion. For fast superdiffusion, we prove that…

Statistical Mechanics · Physics 2009-11-10 Ismael V. L. Costa , Rafael Morgado , Marcos V. B. T. Lima , Fernando A. Oliveira

We generalize the standard computation of homogeneous nucleation theory at zero temperature to a scenario in which the bubble shape is determined self-consistently with its quantum fluctuations. Studying two scalar models in 1+1 dimensions,…

High Energy Physics - Phenomenology · Physics 2009-11-10 Y. Bergner , Luis M. A. Bettencourt

Low-order perturbation corrections to the electronic grand potential, internal energy, chemical potential, and entropy of a gas of noninteracting, identical molecules at a nonzero temperature are determined numerically as the…

Chemical Physics · Physics 2019-10-21 Punit K. Jha , So Hirata

A generical formalism for the discussion of Brownian processes with non-constant particle number is developed, based on the observation that the phase space of heat possesses a product structure that can be encoded in a commutative unit…

Mathematical Physics · Physics 2009-11-07 Frederic P. Schuller , Pascal Vogt

The reaction A+B --> B is studied when the reactants diffuse in phase space, i.e. their dynamics is described by the Langevin equation. The steady-state rate constants are calculated for both the target (static A and mobile B's) and…

Statistical Mechanics · Physics 2009-10-31 D. J. Bicout , A. M. Berezhkovskii , Attila Szabo

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

We look at the equilibrium of a Brownian particle in an inhomogeneous space following the alternative approach proposed in ref.[1]. We consider a coordinate dependent damping that makes the stochastic dynamics the one with multiplicative…

Statistical Mechanics · Physics 2014-10-07 Avik Biswas , A. Bhattacharyay

Real-time perturbation theory is formulated for complex scalar fields away from thermal equilibrium in such a way that dissipative effects arising from the absorptive parts of loop diagrams are approximately resummed into the unperturbed…

High Energy Physics - Theory · Physics 2009-10-30 I. D. Lawrie , D. B. McKernan

We study the Langevin dynamics of a heteropolymer by means of a mode-coupling approximation scheme, giving rise to a set of coupled integro-differential equations relating the response and correlation functions. The analysis shows that…

Disordered Systems and Neural Networks · Physics 2007-05-23 Estelle Pitard , Eugene I. Shakhnovich

In the context of the open inflationary universe, we calculate the amplitude of quantum fluctuations which deform the bubble shape. These give rise to scalar field fluctuations in the open Friedman-Robertson-Walker universe which is…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jaume Garriga

We illustrate how to apply modern effective field theory techniques and dimensional regularization to factorize the various scales which appear in non-relativistic bound states at finite temperature. We focus here on the simplest case: the…

High Energy Physics - Phenomenology · Physics 2009-11-13 Miguel Angel Escobedo , Joan Soto

Statistical invariance of Wiener increments under SO(n) rotations provides a notion of gauge transformation of state-dependent Brownian motion. We show that the stochastic dynamics of non gauge-invariant systems is not unambiguously…

Statistical Mechanics · Physics 2013-09-06 Matteo Polettini

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 quench dynamics of systems exhibiting cooperative or almost competitive orders in equilibrium are explored using Ginzburg-Landau theory plus fluctuations. We show that when the renormalization of the free energy by fluctuations is taken…

Strongly Correlated Electrons · Physics 2025-08-18 Francesco Grandi , Antonio Picano , Ronny Thomale , Dante M. Kennes , Martin Eckstein

The effective theory for the dynamics of hot non-Abelian gauge fields with spatial momenta of order of the magnetic screening scale g^2 T is described by a Boltzmann equation. The dynamical content of this theory is explored. There are…

High Energy Physics - Phenomenology · Physics 2009-10-31 Dietrich Bodeker

We derive analytical solutions for hydrodynamic sources and sinks to granular temperature in moderately dense suspensions of elastic particles at finite Reynolds numbers. Modeling the neighbor-induced drag disturbances with a Langevin…

Soft Condensed Matter · Physics 2022-05-25 Aaron M. Lattanzi , Vahid Tavanashad , Shankar Subramaniam , Jesse Capecelatro

Generative diffusion models apply the concept of Langevin dynamics in physics to machine leaning, attracting a lot of interests from engineering, statistics and physics, but a complete picture about inherent mechanisms is still lacking. In…

Statistical Mechanics · Physics 2025-01-07 Zhendong Yu , Haiping Huang

We consider systems of interacting particles which are described by a second order Langevin equation. The class of equations considered includes the situation where the particle evolution is governed by Hamiltonian dynamics with additional…

Analysis of PDEs · Mathematics 2025-07-29 Fenna Müller , Max von Renesse , Johannes Zimmer
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