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The functional generalization of the Boltzmann-Vlasov equation and its gauge-like symmetry

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Autor(es):
Torrieri, Giorgio
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: SCIPOST PHYSICS; v. 16, n. 3, p. 18-pg., 2024-03-01.
Resumo

We argue that one can model deviations from the ensemble average in non-equilibrium statistical mechanics by promoting the Boltzmann equation to an equation in terms of functionals , representing possible candidates for phase space distributions inferred from a finite observed number of degrees of freedom. We find that, provided the collision term and the Vlasov drift term are both included, a gauge-like redundancy arises which does not go away even if the functional is narrow. We argue that this effect is linked to the gauge-like symmetry found in relativistic hydrodynamics [1] and that it could be part of the explanation for the apparent fluid-like behavior in small systems in hadronic collisions and other strongly-coupled small systems [2]. When causality and Lorentz invariance are omitted this problem can be look at via random matrix theory show, and we show that in such a case thermalization happens much more quickly than the Boltzmann equation would infer. We also sketch an algorithm to study this problem numerically. (AU)

Processo FAPESP: 21/01700-2 - Uma teoria de campo eficaz de equilíbrio relativístico local
Beneficiário:Donato Giorgio Torrieri
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 17/05685-2 - Física hadrônica em colisões nucleares de altas energias
Beneficiário:Jun Takahashi
Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais