Heat equation from a deterministic dynamics

Inventiones mathematicae 2026 Open access

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Authors: Giovanni Battista Canestrari, Carlangelo Liverani, Stefano Olla
DOI: 10.1007/s00222-026-01429-1
Cited by: 0
References: 62

Abstract

Abstract We derive the heat equation for the thermal energy under diffusive space-time scaling for a purely deterministic microscopic dynamics satisfying Newton’s equations perturbed by an external deterministic chaotic force acting like a magnetic field.

Fields of Study & Subjects

Advanced Thermodynamics and Statistical Mechanics Cosmology and Gravitation Theories Advanced Mathematical Theories and Applications

Publication details

Journal / source
Inventiones mathematicae
Publisher
Springer Science and Business Media LLC
Volume
245
Issue
3
Pages
1437–1504
Publication date
20 May 2026
Language
EN