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We consider a driven Brownian particle, subject to both conservative and non-conservative applied forces, whose probability evolves according to the Kramers equation. We derive a general fluctuation relation, expressing the ratio of the…

Statistical Mechanics · Physics 2007-05-23 A. Imparato , L. Peliti

Using the in-in formalism, we generalize the recently constructed magnetoelastic EFT arXiv:2112.13873 [hep-th] to describe the damping dynamics of ferromagnetic systems at long wavelengths. We find that the standard Gilbert damping term…

High Energy Physics - Theory · Physics 2023-12-21 Jingping Li

Experiments on the nonequilibrium dynamics of an isolated Bose-Einstein condensate (BEC) in a magnetic double-well trap exhibit a puzzling divergence: While some show dissipation-free Josephson oscillations, others find strong damping. Such…

Quantum Gases · Physics 2018-11-06 Tim Lappe , Anna Posazhennikova , Johann Kroha

The paper presents a unified approach to different fluctuation relations for classical nonequilibrium dynamics described by diffusion processes. Such relations compare the statistics of fluctuations of the entropy production or work in the…

Mathematical Physics · Physics 2009-11-13 Raphael Chetrite , Krzysztof Gawedzki

Numerical integration of a stochastic Landau-Lifshitz-Gilbert equation is used to study dynamic processes in single-domain nanoscale magnets at nonzero temperatures. Special attention is given to including thermal fluctuations as a Langevin…

Materials Science · Physics 2009-10-31 Gregory Brown , M. A. Novotny , Per Arne Rikvold

Ferromagnetism in the single-orbital Hubbard model, which contains only local Coulomb repulsion and no explicit ferromagnetic exchange interactions, has been extensively studied. However, how the associated fluctuations influence the…

Strongly Correlated Electrons · Physics 2025-09-26 Motoharu Kitatani , Yusuke Nomura , Shiro Sakai , Ryotaro Arita

Systems that are driven out of thermal equilibrium typically dissipate random quantities of energy on microscopic scales. Crooks fluctuation theorem relates the distribution of these random work costs with the corresponding distribution for…

Quantum Physics · Physics 2018-02-13 Johan Aberg

There is no simple fluctuation-dissipation theorem (FDT) for nonequilibrium systems. We show that for a fluid in a nonequilibrium steady state (NESS) characterized by a constant temperature gradient there is a generalized FDT that relates…

Statistical Mechanics · Physics 2023-12-15 T. R. Kirkpatrick , D. Belitz

We discuss two ways of deriving the fluctuation-dissipation theorem (FDT) for soft fermion excitations in a hot non-Abelian plasma being in a thermal equilibrium. The first of them is based on the extended (pseudo)classical model in…

High Energy Physics - Phenomenology · Physics 2010-05-27 Yuri A. Markov , Margaret A. Markova

Dissipative Lagrangians and Hamiltonians having Coulomb, viscous and quadratic damping,together with gravitational and elastic terms are presented for a formalism that preserves the Hamiltonian as a constant of the motion. Their derivations…

Classical Physics · Physics 2007-05-23 Charles E. Smith

For the first time, we calculate the heating rate, attractive conservative and tangential dissipative fluctuation electromagnetic forces felt by a thick plate moving parallel to a closely spaced another plate in rest using the retarded…

Other Condensed Matter · Physics 2009-08-25 G. V. Dedkov , A. A. Kyasov

A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady state, by using Schnakenberg network theory. The theorem can be applied, in particular, in reaction systems where the affinities or…

Statistical Mechanics · Physics 2015-06-25 David Andrieux , Pierre Gaspard

We analytically study a one dimensional compaction model in the glassy regime. Both correlation and response functions are calculated exactly in the evolving dense and low tapping strength limit, where the density relaxes in a $1/\ln t$…

Statistical Mechanics · Physics 2009-11-10 Martin Depken , Robin Stinchcombe

We derive a set of isometric fluctuation relations, which constrain the order parameter fluctuations in finite-size systems at equilibrium and in the presence of a broken symmetry. These relations are exact and should apply generally to…

Statistical Mechanics · Physics 2015-06-23 D. Lacoste , P. Gaspard

It has long been conjectured that, in three dimensional turbulence, velocity modes at scales larger than the forcing scale follow equilibrium dynamics. Recent numerical and experimental evidence show that such modes share the same mean…

Fluid Dynamics · Physics 2023-11-27 Alexandros Alexakis , Sergio Chibbaro , Guillaume Michel

Liouville's theorem, based on the Hamiltonian flow (micro-canonical ensemble) for a many particle system, indicates that the (stationary) equilibrium probability distribution is a function of the Hamiltonian. A canonical ensemble…

Statistical Mechanics · Physics 2012-11-21 A. Bhattacharyay

The dynamics of a magnetic moment or spin are of high interest to applications in technology. Dissipation in these systems is therefore of importance for improvement of efficiency of devices, such as the ones proposed in spintronics. A…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Robin C. Verstraten , Tim Ludwig , Rembert A. Duine , Cristiane Morais Smith

Thermal-bias-induced spin angular momentum transfer between a paramagnetic metal and ferromagnetic insulator is studied theoretically based on the stochastic Landau-Lifshitz-Gilbert (LLG) phenomenology. Magnons in the ferromagnet establish…

Mesoscale and Nanoscale Physics · Physics 2013-08-14 Silas Hoffman , Koji Sato , Yaroslav Tserkovnyak

There is little doubt that the magnetization dynamics of ferromagnetic systems is governed by the Landau-Lifshitz-Gilbert equation or its generalization with various spin torques. In contrast, there are several sets of dynamic equations for…

Mesoscale and Nanoscale Physics · Physics 2019-08-05 H. Y. Yuan , Qian Liu , Ke Xia , Zhe Yuan , X. R. Wang

We introduce thermal fluctuations in the lattice Boltzmann method for non-ideal fluids. A fluctuation-dissipation theorem is derived within the Langevin framework and applied to a specific lattice Boltzmann model that approximates the…

Soft Condensed Matter · Physics 2010-12-01 M. Gross , R. Adhikari , M. E. Cates , F. Varnik
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