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Heat equation from a deterministic dynamics

delete2026-05-20
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G
Giovanni Canestrari
C
Carlangelo Liverani *
S
Stefano Olla
DOI:10.1007/s00222-026-01429-1delete
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Abstract

Abstract

En 中文
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.
Keywords:
Heat equation
Deterministic dynamics
Diffusive scaling
Thermal energy
Chaotic force
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Journal

Inventiones Mathematicae cover
Inventiones Mathematicae
IF:
3.6
Papers:
147
Citations:
1.3W

Organization

U
Universita di Roma Tor Vergata
Scholars:
8
Papers: 4
Citations: 0
U
universite paris-dauphine
Scholars:
499
Papers: 479
Citations: 0
M
Mathematics
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335
Papers: 208
Citations: 0
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