Work

Ballistic macroscopic fluctuation theory via mapping to point particles

Year: 2025

Type: preprint

Abstract: Ballistic Macroscopic Fluctuation Theory (BMFT) captures the evolution of fluctuations and correlations in systems where transport is strictly ballistic. We show that, for \emph{generic integrable models}, BMFT can be constructed through a direct mapping onto ensembles of classical or quantum point particles. This mapping generalises the well-known correspondence between hard spheres and point particles: the two-body \emph{scattering shift} now plays the role of an effective rod length for arbitrary interactions. Within this framework, we re-derive both the full-counting statistics and the long-range correlation functions previously obtained by other means, thereby providing a unified derivation. Our results corroborate the general picture that all late-time fluctuations and correlations stem from the initial noise, subsequently convected by Euler-scale hydrodynamics.

Source: arXiv (Cornell University)

Authors: Kethepalli, Jitendra, Urilyon, Andrew, Sadhu, Tridib, De Nardis, Jacopo

Institutions: Centre National de la Recherche Scientifique, CY Cergy Paris Université, Laboratoire de Physique Théorique et Modélisation, Tata Institute of Fundamental Research

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Department of Atomic Energy, Government of India, Agence Nationale de la Recherche, Centre National de la Recherche Scientifique, HORIZON EUROPE European Research Council

Awards: G1049003178, G3796701426, Hydrodynamics and entropy production in low-dimensional quantum systems

OpenAlex ID: W6979245407

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