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A formally exact set of equations is derived for the description of nonequilibrium phenomena in classical liquids and glasses. With the help of a non equilibrium projection operator formalism, the correlation functions and fluctuation…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Latz

We derive analytical expressions for the correlation functions of the electronic conductance fluctuations of an open quantum dot under several conditions. Both the variation of energy and that of an external parameter such as an applied…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 J. G. G. S. Ramos , A. L. R. Barbosa , B. V. Carlson , T. Frederico , M. S. Hussein

Far too often are multiparticle final states studied and models tested on merely single-particle spectra and their integrals, the average multiplicities: A multiparticle final state is a non-linear, complex system and the essential…

High Energy Physics - Phenomenology · Physics 2017-08-23 Wolfram Kittel

Fluctuations of conserved charges in a grand canonical ensemble can be calculated as derivatives of the free energy with respect to the respective chemical potential. They are directly related to experimentally available observables that…

High Energy Physics - Lattice · Physics 2015-11-23 Szabolcs Borsanyi

A rewiew of the development of formalism to describe correlations and fluctuations in multiparticle production is presented. The milestones of history of this development and some obvious sources of correlations in experimental data are…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Fialkowski

Isometric fluctuation relations are deduced for the fluctuations of the order parameter in equilibrium systems of condensed-matter physics with broken discrete or continuous symmetries. These relations are similar to their analogues…

Statistical Mechanics · Physics 2016-12-14 David Lacoste , Pierre Gaspard

A great deal of recent data on event-by-event fluctuation and correlation measurements has been released by several experiments at the SPS and RHIC. Recent results on charge fluctuations, balance functions in pseudorapidity, and average…

Nuclear Experiment · Physics 2009-11-10 Jeffery T. Mitchell

The article provides a unitary and complete solution to the fluctuation-dissipation relations for particle hydromechanics in a generic fluid, accounting for the hydrodynamic fluid-particle interactions (including arbitrary memory kernels in…

Statistical Mechanics · Physics 2024-12-30 Massimiliano Giona , Giuseppe Procopio , Chiara Pezzotti

A free energy functional for a crystal that contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function has been used to investigate the crystallization of fluids in three-dimensions. The symmetry…

Soft Condensed Matter · Physics 2015-06-15 Atul S. Bharadwaj , Swarn L. Singh , Yashwant Singh

The direct correlation function of a fluid mixture of parallel hard cubes is obtained by using Rosenfeld's fundamental measure approximation. This approximation is thermodynamically consistent (compressibility and virial equations of state…

Condensed Matter · Physics 2009-10-28 Jose A. Cuesta

One of the challenges in using numerical methods to address many-body problems is the multi-dimensional integration over poles. More often that not, one needs such integrations to be evaluated as a function of an external variable. An…

Computational Physics · Physics 2025-04-10 Igor Benek-Lins , Jonathan Discenza , Saurabh Maiti

Coarse-grained models are widely used to explain the effective behavior of partially observable physical systems with hidden degrees of freedom. Reduction procedures in state space typically disrupt Markovianity and a fluctuation relation…

Statistical Mechanics · Physics 2024-09-24 Alberto Garilli , Pedro E. Harunari , Matteo Polettini

We discuss fluctuation-dissipation relations valid under general conditions even out of equilibrium. The response function is expressed in terms of unperperturbed correlation functions, where contributions peculiar to non-equilibrium can…

Statistical Mechanics · Physics 2012-03-23 Giacomo Gradenigo , Andrea Puglisi , Alessandro Sarracino , Dario Villamaina , Angelo Vulpiani

In this paper we re-examine the traditional problem of connecting the internal fluctuations of a system to its response to external forcings and extend the classical theory in order to be able to encompass also nonlinear processes. With…

Statistical Mechanics · Physics 2015-06-04 Valerio Lucarini , Matteo Colangeli

The absence of self averaging in mesoscopic systems is a consequence of long-range intensity correlation. Microwave measurements suggest and diagrammatic calculations confirm that the correlation function of the normalized intensity with…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Sebbah , B. Hu , A. Z. Genack , R. Pnini , B. Shapiro

We consider the application of fluctuation relations to the dynamics of coarse-grained systems, as might arise in a hypothetical experiment in which a system is monitored with a low-resolution measuring apparatus. We analyze a stochastic,…

Statistical Mechanics · Physics 2007-09-19 Saar Rahav , Christopher Jarzynski

A systematic study of the relations between fluctuations of the extensive multiparticle variables and integrals of the inclusive multipaticle densities is analysed. The generalized factorial moments are introduced and their physical meaning…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bialas

We study a gas of hard rods on a ring, driven by an external thermostat, with either elastic or inelastic collisions, which exhibits sub-diffusive behavior $<x^2 > \sim t^{1/2}$. We show the validity of the usual Fluctuation-Dissipation…

Statistical Mechanics · Physics 2008-10-10 D. Villamaina , A. Puglisi , A. Vulpiani

This article is a short review on the relationship between convergent matrix integrals, formal matrix integrals, and combinatorics of maps. We briefly summarize results developed over the last 30 years, as well as more recent discoveries.…

Mathematical Physics · Physics 2007-05-23 Bertrand Eynard

We discuss the well known Einstein and the Kubo Fluctuation Dissipation Relations (FDRs) in the wider framework of a generalized FDR for systems with a stationary probability distribution. A multi-variate linear Langevin model, which…

Statistical Mechanics · Physics 2009-07-17 D. Villamaina , A. Baldassarri , A. Puglisi , A. Vulpiani