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Spatially correlated noise (SCN), i.e. the thermal noise that affects neighbouring particles in a similar manner, is ubiquitous in soft matter systems. In this work, we apply the over-damped SCN-driven Langevin equations as an effective,…

软凝聚态物质 · 物理学 2019-12-30 M. Majka , P. F. Góra

We analyze the slow, glassy structural relaxation as measured through collective and tagged-particle density correlation functions obtained from Brownian dynamics simulations for a polydisperse system of quasi-hard spheres in the framework…

软凝聚态物质 · 物理学 2010-10-18 F. Weysser , A. M. Puertas , M. Fuchs , Th. Voigtmann

We study the effect of a strong electric field on the fluctuation conductivity within the time-dependent Ginzburg-Landau theory for the case of arbitrary dimension. Our results are based on the analytical derivation of the velocity…

超导电性 · 物理学 2009-11-07 Todor Mishonov , Anna Posazhennikova , Joseph Indekeu

The Fluctuation-Dissipation Theorem (FDT) is a powerful tool to estimate the thermal noise of physical systems in equilibrium. In general however, thermal equilibrium is an approximation, or cannot be assumed at all. A more general…

统计力学 · 物理学 2021-10-08 Alex Fontana , Richard Pedurand , Vincent Dolique , Ghaouti Hansali , Ludovic Bellon

Using the framework of nonlinear fluctuating hydrodynamics (NFH), we examine equilibrium spatio-temporal correlations in classical ferromagnetic spin chains with nearest neighbor interactions. In particular, we consider the classical…

When nano-magnets are coupled to random external sources, their magnetization becomes a random variable, whose properties are defined by an induced probability density, that can be reconstructed from its moments, using the Langevin…

统计力学 · 物理学 2017-03-21 Stam Nicolis , Pascal Thibaudeau , Julien Tranchida

We consider a general N-degree-of-freedom dissipative system which admits of chaotic behaviour. Based on a Fokker-Planck description associated with the dynamics we establish that the drift and the diffusion coefficients can be related…

混沌动力学 · 物理学 2009-10-31 Bidhan Chandra Bag , Deb Shankar Ray

The experimental search for the QCD critical point by means of relativistic heavy-ion collisions necessitates the development of dynamical models of fluctuations. In this work we study the fluctuations of the net-baryon density near the…

核理论 · 物理学 2020-11-25 Marlene Nahrgang , Marcus Bluhm

We study the out-of-equilibrium fluctuation-dissipation (FD) relations in the low temperature, finite time, physical aging regime of two simple models with strong glass behaviour, the Fredrickson-Andersen model and the square-plaquette…

统计力学 · 物理学 2009-11-07 Arnaud Buhot , Juan P. Garrahan

A system-reservoir nonlinear coupling model has been proposed for a situation where the reservoir is nonlinearly driven by an external Gaussian stationary noise which exposes the system particles to a nonequilibrium environment. Apart from…

We complete the kinetic theory of inhomogeneous systems with long-range interactions initiated in previous works. We use a simpler and more physical formalism. We consider a system of particles submitted to a small external stochastic…

统计力学 · 物理学 2023-08-23 Pierre-Henri Chavanis

We study the generalized Langevin equation approach to anomalous diffusion for a harmonic oscillator and a free particle driven by different forms of internal noises, such as power-law-correlated and distributed-order noises that fulfil…

统计力学 · 物理学 2023-09-01 Z. Tomovski , K. Gorska , T. Pietrzak , R. Metzler , T. Sandev

This paper deals with the analysis of stochastic systems which can be described by a Langevin equation. By the method presented in this paper drift and diffusion terms of the corresponding Fokker-Planck equation can be extracted from the…

凝聚态物理 · 物理学 2009-10-31 S. Siegert , R. Friedrich , J. Peinke

When the motion of a probe strongly disturbs the thermal equilibrium of the solvent or bath, the nonlinear response of the latter must enter the probe's effective evolution equation. We derive that induced stochastic dynamics using second…

软凝聚态物质 · 物理学 2017-01-10 Matthias Krüger , Christian Maes

While Macroscopic Fluctuation Theory (MFT) has been highly successful in analyzing non-equilibrium steady states, its application to non-steady-state processes remains limited. In this study, we apply MFT to the relaxation process of…

统计力学 · 物理学 2026-05-27 Daisuke Suzuki , Tomohiro Sasamoto

We present a detailed derivation of the Langevin dynamics obeyed by a massive rigid body immersed in a chiral active bath. We show how the antisymmetric nature of the noise leads to an unusual relationship between the Langevin equation…

统计力学 · 物理学 2025-04-02 Cory Hargus , Federico Ghimenti , Julien Tailleur , Frédéric van Wijland

Open quantum systems can display periodic dynamics at the classical level either due to external periodic modulations or to self-pulsing phenomena typically following a Hopf bifurcation. In both cases, the quantum fluctuations around…

量子物理 · 物理学 2021-02-24 C. Navarrete-Benlloch , R. Garcés , N. Mohseni , G. J. de Valcárcel

The motion of a colloidal probe in a complex fluid, such as a micellar solution, is usually described by the generalized Langevin equation, which is linear. However, recent numerical simulations and experiments have shown that this linear…

统计力学 · 物理学 2023-10-26 Vincent Démery , Andrea Gambassi

We provide a direct experimental test of the Stokes-Einstein relation as a special case of the fluctuation-dissipation theorem (FDT) in an aging colloidal glass. The use of combined active and passive microrheology allows us to…

We construct the hydrodynamic theory of coherent collective motion ("flocking") at a solid-liquid interface. The polar order parameter and concentration of a collection of "active" (self-propelled) particles at a planar interface between a…

软凝聚态物质 · 物理学 2022-01-05 Niladri Sarkar , Abhik Basu , John Toner