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In this paper we extend the earlier treatment of out-of-equilibrium mesoscopic fluctuations in glassy systems in several significant ways. First, via extensive simulations, we demonstrate that models of glassy behavior without quenched…

Statistical Mechanics · Physics 2009-11-10 C. Chamon , P. Charbonneau , L. F. Cugliandolo , D. R. Reichman , M. Sellitto

Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry to the global cloud cover pattern concomitant with inverse power-law form for power spectra of temporal fluctuations of all scales ranging…

General Physics · Physics 2007-05-23 A. M. Selvam , S. Fadnavis

We investigate a one dimensional flux limited Keller Segel system (FLKS) in which the chemical decay rate is allowed to vary explicitly in time, a feature motivated by enzymatic regulation and environmental variability in chemotactic…

Analysis of PDEs · Mathematics 2026-05-21 Ahmed Abbas Jaber Al Furaiji , Ghorbanali Haghighatdoost , Mustafa Bazghandi

In the framework of the Keldysh technique, we formulate the nonlinear sigma model for disordered optical media with linear absorption or gain. The effective action for fluctuations of the matrix field about the saddle point acquires an…

Optics · Physics 2012-04-25 Zhong Yuan Lai , Oleg Zaitsev

We study collisions between nearly planar domain walls including the effects of small initial nonplanar fluctuations. These perturbations represent the small fluctuations that must exist in a quantum treatment of the problem. In a previous…

High Energy Physics - Theory · Physics 2017-11-09 Jonathan Braden , J. Richard Bond , Laura Mersini-Houghton

We construct a microscopic model to study discrete randomness in bistable systems coupled to an environment comprising many degrees of freedom. A quartic double well is bilinearly coupled to a finite number $N$ of harmonic oscillators.…

Statistical Mechanics · Physics 2020-10-19 Thomas Dittrich , Santiago Peña Martínez

This article is a contribution to the understanding of fluctuations in the out of equilibrium dynamics of glassy systems. By extending theoretical ideas based on the assumption that time-reparametrization invariance develops asymptotically…

Statistical Mechanics · Physics 2015-05-28 Claudio Chamon , Federico Corberi , Leticia F. Cugliandolo

Linear fluctuating hydrodynamics is a useful and versatile tool for describing fluids, as well as other systems with conserved fields, on a mesoscopic scale. In one spatial dimension, however, transport is anomalous, which requires to…

Statistical Mechanics · Physics 2016-01-05 Herbert Spohn

We study the resonance fluorescence properties of an optically active spin 1/2 system, elucidating the effects of a magnetic field on the coherence of the scattered light. We derive a master equation model for this system that reproduces…

Understanding the relationship between complexity and stability in large dynamical systems -- such as ecosystems -- remains a key open question in complexity theory which has inspired a rich body of work developed over more than fifty…

Populations and Evolution · Quantitative Biology 2021-07-14 Yvonne Krumbeck , Qian Yang , George W. A. Constable , Tim Rogers

We have considered the nonlinear response of mesoscopic systems of non-interacting electrons to the time-dependent external field. In this consideration the inelastic processes have been neglected and the electron thermalization occurs due…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. I. Yudson , E. Kanzieper , V. E. Kravtsov

We unveil the universal (model-independent) symmetry satisfied by Schwinger-Keldysh quantum field theories whenever they describe equilibrium dynamics. This is made possible by a generalization of the Schwinger-Keldysh path-integral…

Statistical Mechanics · Physics 2018-02-02 Camille Aron , Giulio Biroli , Leticia F. Cugliandolo

The paper deals with the problem of open systems out of equilibrium. An analytical expression for time-dependent density matrix of two arbitrary coupled identical quantum oscillators interacting with separate reservoirs is derived using…

Quantum Physics · Physics 2014-12-16 Illarion Dorofeyev

A diffusive system coupled to unequal boundary reservoirs reaches a non-equilibrium steady state. While the full-counting-statistics of current fluctuations in these states are well understood for generic systems, results for steady-state…

Statistical Mechanics · Physics 2026-01-29 Soumyabrata Saha , Tridib Sadhu

Recent experimental results showing untypical nonlinear absorption and marked deviations from well known universality in the low temperature acoustic and dielectric losses in amorphous solids prove the need for improving the understanding…

Disordered Systems and Neural Networks · Physics 2018-07-20 Moshe Schechter , Peter Nalbach , Alexander L. Burin

The purpose of this review is to provide a comprehensive pedagogical introduction into Keldysh technique for interacting out-of-equilibrium fermionic and bosonic systems. The emphasis is placed on a functional integral representation of…

Other Condensed Matter · Physics 2015-05-13 Alex Kamenev , Alex Levchenko

We consider the multiple scattering of a scalar wave in a disordered medium with a weak nonlinearity of Kerr type. The perturbation theory, developed to calculate the temporal autocorrelation function of scattered wave, fails at short…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. E. Skipetrov

We represent the slow, glassy equilibrium dynamics of a line in a two-dimensional random potential landscape as driven by an array of asymptotically independent two-state systems, or loops, fluctuating on all length scales. The assumption…

Condensed Matter · Physics 2009-10-28 Anders B. Eriksson , Jari M. Kinaret , Lev V. Mikheev

Using a reduced model focusing on the in-plane dependence of plane Couette flow, it is shown that the turbulent-to-laminar relaxation process can be understood as a nucleation problem similar to that occurring at a thermodynamic first-order…

Fluid Dynamics · Physics 2011-03-01 Paul Manneville

Time boundaries (TBs), temporal analogues of spatial interfaces, offer a powerful handle to engineer quantum systems. However, unlike the well-developed stationary scattering theory at spatial interfaces, a unified framework for quantum…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 Haiping Hu