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In the frames of classical mechanics the generalized Langevin equation is derived for an arbitrary mechanical subsystem coupled to the harmonic bath of a solid. A time-acting temperature operator is introduced for the quantum Klein-Kramers…

Quantum Physics · Physics 2021-05-17 Roumen Tsekov

Both simple and sophisticated models are frequently used in an attempt to understand how real nuclei breakup when subjected to large excitation energies, a process known as nuclear multifragmentation. Many of these models assume…

Nuclear Theory · Physics 2009-10-31 J. B. Elliott , A. S. Hirsch

This paper reviews the formulation of the Feynman-Vernon model of linear dissipative systems for a standard Brownian particle moving in an external potential $V(x,t)$ and introduces the formulation of a generalized oscillator model of a…

Quantum Physics · Physics 2018-03-29 Marco Patriarca

A system of N Brownian particles suspended in a nonuniform heat bath is treated as a thermodynamic system whith internal degrees of freedom, in this case their velocities and coordinates. Applying the scheme of non-equilibrium…

Condensed Matter · Physics 2016-08-15 J. M. Rubí , P. Mazur

We apply the displaced-oscillator variational ansatz to the Caldeira-Leggett model for a quantum particle in a one-dimensional box described by a tight-binding chain. We focus on the case of an Ohmic environment and study the phase diagram…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Javier Sabio , Fernando Sols

By considering an ensemble of Brownian particles suspended in a heat bath as a thermodynamic system with an internal degree of freedom it is possible to obtain the Fokker-Planck equation for Brownian motion in a temperature gradient, by…

Condensed Matter · Physics 2007-05-23 A. Perez-Madrid , J. M. Rubi , P. Mazur

Thermophoresis is a transport phenomenon induced by a temperature gradient. Very small objects dispersed in a fluid medium and in a temperature gradient present a non homogeneous steady density. Analysing this phenomenon within the…

Statistical Mechanics · Physics 2022-01-25 J. M. Sancho

We study the quantum counterpart of the theorem on energy equipartition for classical systems. We consider a free quantum Brownian particle modelled in terms of the Caldeira-Leggett framework: a system plus thermostat consisting of an…

Statistical Mechanics · Physics 2019-04-24 J. Spiechowicz , P. Bialas , J. Łuczka

Small aerosols drift down temperature or turbulence gradient since faster particles fly longer distances before equilibration. That fundamental phenomenon, called thermophoresis or turbophoresis, is widely encountered in nature and used in…

Chaotic Dynamics · Physics 2015-06-19 S. Belan , I. Fouxon , G. Falkovich

We study a minimal non-Markovian model of superdiffusion which originates from long-range velocity correlations within the generalized Langevin equation (GLE) approach. The model allows for a three-dimensional Markovian embedding. The…

Statistical Mechanics · Physics 2015-05-19 P. Siegle , I. Goychuk , P. Hanggi

We analyze a model system of fermions in a harmonic oscillator potential under the influence of a dissipative environment: The fermions are subject to a fluctuating force deriving from a bath of harmonic oscillators. This represents an…

Statistical Mechanics · Physics 2007-05-23 Florian Marquardt , D. S. Golubev

We study a charged Brownian gas with a non uniform bath temperature, and present a thermohydrodynamical picture. Expansion on the collision time probes the validity of the local equilibrium approach and the relevant thermodynamical…

Statistical Mechanics · Physics 2007-05-23 L. A. Barreiro , J. R. Campanha , R. E. Lagos

We consider quantum nonlinear systems with dissipation described within the Caldeira-Leggett model, i.e., by a nonlocal action in the path integral for the density matrix. Approximate classical-like formulas are derived in order to evaluate…

Statistical Mechanics · Physics 2007-05-23 A. Cuccoli , A. Fubini , A. Rossi , V. Tognetti , R. Vaia

We study the dynamics of a quantum particle coupled to dissipative (ohmic) environments, such as an electron liquid. For some choices of couplings, the properties of the particle can be described in terms of an effective mass. A particular…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 F. Guinea

We show that Wigner-Leggett-Caldeira equation for Wigner phase space distribution function which describes the quantum Brownian motion of a particle in a force field in a high temerature, Ohmic environment can be identified as a…

Statistical Mechanics · Physics 2009-10-31 Jyotipratim Ray Chaudhuri , Bidhan Chandra Bag , Deb Shankar Ray

Understanding the behaviour of a quantum system coupled to its environment is of fundamental interest in the general field of quantum technologies. It also has important repercussions on foundational problems in physics, such as the process…

Quantum Physics · Physics 2021-11-01 Sapphire Lally , Nicholas Werren , Jim Al-Khalili , Andrea Rocco

The quantum-classical transition in the Caldeira-Leggett model is investigated in the framework of the functional renormalization group method. It is shown that a divergent quadratic term arises in the action due to the heat bath in the…

High Energy Physics - Theory · Physics 2017-03-08 J. Kovacs , B. Fazekas , S. Nagy , K. Sailer

This article presents a brief account of Amir O. Caldeira's contributions to the theory of quantum Brownian motion. Motivated by its importance, we outline the description of Brownian motion in the quantum regime following Caldeira's first…

Quantum Physics · Physics 2026-04-30 Marcus V. S. Bonança , Sebastian Deffner , Gert-Ludwig Ingold

Nonequilibrium thermodynamics has shown its applicability in a wide variety of different situations pertaining to fields such as physics, chemistry, biology, and engineering. As successful as it is, however, its current formulation…

Condensed Matter · Physics 2009-11-07 J. M. G. Vilar , J. M. Rubi

We propose first-principle calculations of an open system based on the real-time path integral formalism treating the environment as well as the system of our interest together on a computer. The sign problem that occurs in applying Monte…

High Energy Physics - Lattice · Physics 2025-09-23 Jun Nishimura , Hiromasa Watanabe