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Quantum scattering is used ubiquitously in both experimental and theoretical physics across a wide range of disciplines, from high-energy physics to mesoscopic physics. In this work, we uncover universal relations for the energy…

Quantum Physics · Physics 2024-11-15 Samuel L. Jacob , John Goold , Gabriel T. Landi , Felipe Barra

We extend the Exchange Fluctuation Theorem for energy exchange between thermal quantum systems beyond the assumption of molecular chaos, and describe the non-equilibrium exchange dynamics of correlated quantum states. The relation…

Quantum Physics · Physics 2015-10-14 Sania Jevtic , David Jennings , Terry Rudolph , Yuji Hirono , Shojun Nakayama , Mio Murao

We study the stationary state of a one-dimensional kinetic model where a probe particle is driven by an external field E and collides, elastically or inelastically, with a bath of particles at temperature T. We focus on the stationary…

Statistical Mechanics · Physics 2013-05-30 G. Gradenigo , U. Marini Bettolo Marconi , A. Puglisi , A. Sarracino

A non--equilibrium occupation distribution relaxes towards the Fermi--Dirac distribution due to electron--electron scattering even in finite Fermi systems. The dynamic evolution of this thermalization process assumed to result from an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Imre Varga , Peter Thomas , Torsten Meier , Stephan W. Koch

Quantum critical points (QCPs) are widely accepted as a source of a diverse set of collective quantum phases of matter. A central question is how the order parameters of phases near a QCP interact and determine the fundamental character of…

Strongly Correlated Electrons · Physics 2017-11-10 L. Poudel , J. M. Lawrence , L. S. Wu , G. Ehlers , Y. Qiu , A. F. May , F. Ronning , M. D. Lumsden , D. Mandrus , A. D. Christianson

A novel equality relating the rate of energy dissipation to a degree of violation of the fluctuation-response relation (FRR) in nonequilibrium Langevin systems is described. The FRR is a relation between the correlation function of the…

Statistical Mechanics · Physics 2007-05-23 Takahiro Harada , Shin-ichi Sasa

We study the energy distribution in the extended resonant level model at equilibrium. Previous investigations [Phys. Rev. B {\bf 89}, 161306 (2014), Phys. Rev. B {\bf 93}, 115318 (2016)] have found, for a resonant electronic level…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Maicol A. Ochoa , Anton Bruch , Abraham Nitzan

The fluctuation-response relation is a fundamental relation that is applicable to systems near equilibrium. On the other hand, when a system is driven far from equilibrium, this relation is violated in general because the detailed-balance…

Statistical Mechanics · Physics 2009-11-11 Takahiro Harada , Shin-ichi Sasa

The exploration of the rich dynamics of electrons is a frontier in fundamental nano-physics. The dynamical behavior of electrons is dominated by random and chaotic thermal motion with ultrafast ($\approx$ ps) and nanoscale scatterings. This…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Ruijie Qian , S. T. Chui , Zhenghua An , y Hongtao Xu , Zhifang Lin , Zian Ji , Wei Lu

We describe some general results that constrain the dynamical fluctuations that can occur in non-equilibrium steady states, with a focus on molecular dynamics. That is, we consider Hamiltonian systems, coupled to external heat baths, and…

Statistical Mechanics · Physics 2017-11-22 Robert L. Jack , Marcus Kaiser , Johannes Zimmer

Event-by-event mean transverse momentum fluctuations ($\langle p_\mathrm{T}\rangle$) serve as a sensitive probe of initial state overlap geometry and energy density fluctuations in relativistic heavy-ion collisions. We present a systematic…

Nuclear Theory · Physics 2025-02-14 Liuyao Zhang , Jinhui Chen , Chunjian Zhang

The linear response of non-equilibrium systems with Markovian dynamics satisfies a generalized fluctuation-dissipation relation derived from time symmetry and antisymmetry properties of the fluctuations. The relation involves the sum of two…

Statistical Mechanics · Physics 2011-01-07 Juan Ruben Gomez-Solano , Artyom Petrosyan , Sergio Ciliberto , Christian Maes

We investigate the universal fluctuations of localized wavefunction in the Fock space of two interacting particles in one-dimensional disordered systems, focusing on the interplay between random potentials and random long-range…

Disordered Systems and Neural Networks · Physics 2025-07-04 Sen Mu , Gabriel Lemarié , Jiangbin Gong

Fluctuations associated with relaxations in far-from-equilibrium regime is of fundamental interest for a large variety of systems within broad scales. Recent advances in techniques such as spectroscopy have generated the possibility for…

Quantum Physics · Physics 2021-09-08 Zhedong Zhang , Xuanhua Wang , Jin Wang

The fluctuations in the ideal quantum gases are studied using the strongly intensive measures $\Delta[A,B]$ and $\Sigma[A,B]$ defined in terms of two extensive quantities $A$ and $B$. In the present paper, these extensive quantities are…

Nuclear Theory · Physics 2014-03-03 M. I. Gorenstein , M. Rybczynski

In systems removed from equilibrium, intrinsic microscopic fluctuations become correlated over distances comparable to the characteristic macroscopic length over which the external constraint is exerted. In order to investigate this…

comp-gas · Physics 2009-10-28 Alberto Suarez , Jean Pierre Boon , Patrick Grosfils

Using a one-dimensional macromolecule in aqueous solution as an illustration, we demonstrate that the relative entropy from information theory, $\sum_k p_k\ln(p_k/p_k^*)$, has a natural role in the energetics of equilibrium and…

Mathematical Physics · Physics 2007-05-23 Hong Qian

The emergence of spatially variable local dynamics, or dynamic heterogeneity, is common in multicomponent polymer systems. Although often attributed to differences in the intrinsic dynamics of each component, the molecular origin of their…

Soft Condensed Matter · Physics 2025-10-23 Shannon Zhang , Michael A. Webb

We present a comprehensive study about the relationship between the way Detailed Balance is broken in non-equilibrium systems and the resulting violations of the Fluctuation-Dissipation Theorem. Starting from stochastic dynamics with both…

Statistical Mechanics · Physics 2020-07-16 Sara Dal Cengio , Demian Levis , Ignacio Pagonabarraga

Here we investigate how local properties of particles in a thermal bath influence the thermodynamics of the bath. We utilize nanothermodynamics, based on two postulates: that small systems can be treated self-consistently by coupling to an…

Statistical Mechanics · Physics 2022-10-26 Ralph V. Chamberlin , Michael R. Clark , Vladimiro Mujica , George H. Wolf