Work

Statistical Features of High-Dimensional Hamiltonian Systems

Year: 2021

Type: preprint

Abstract: In this short review we propose a critical assessment of the role of chaos for the thermalization of Hamiltonian systems with high dimensionality. We discuss this problem for both classical and quantum systems. A comparison is made between the two situations: some examples from recent and past literature are presented which support the point of view that chaos is not necessary for thermalization. Finally, we suggest that a close analogy holds between the role played by Kinchin's theorem for high-dimensional classical systems and the role played by Von Neumann's theorem for many-body quantum systems.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2106.06609

Authors: Baldovin, Marco, Gradenigo, Giacomo, Vulpiani, Angelo

Institutions: Sapienza University of Rome, Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Gran Sasso, Gran Sasso Science Institute

Language: English

Topic: Quantum chaos and dynamical systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Ministero dell’Istruzione, dell’Università e della Ricerca

Awards: G15967578, G59132117

OpenAlex ID: W3170611547

Cites: 10

Cited by: 1

Related to: 20