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Slow dynamics and subdiffusion in a non-Hamiltonian system with long-range forces

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Author(s):
Bachelard, Romain ; Piovella, Nicola ; Gupta, Shamik
Total Authors: 3
Document type: Journal article
Source: PHYSICAL REVIEW E; v. 99, n. 1, p. 5-pg., 2019-01-18.
Abstract

Inspired by one-dimensional light-particle systems, the dynamics of a non-Hamiltonian system with long-range forces is investigated. While the molecular dynamics does not reach an equilibrium state, it may be approximated in the thermodynamic limit by a Vlasov equation that does possess stable stationary solutions. This implies that on a macroscopic scale the molecular dynamics evolves on a slow timescale that diverges with the system size. At the single-particle level, the evolution is driven by incoherent interaction between the particles, which may be effectively modeled by a noise, leading to a Brownian-like dynamics of the momentum. Because this self-generated diffusion process depends on the particle distribution, the associated Fokker-Planck equation is nonlinear, and a subdiffusive behavior of the momentum fluctuations emerges, in agreement with numerics. (AU)

FAPESP's process: 14/01491-0 - Atomic clouds under stress
Grantee:Romain Pierre Marcel Bachelard
Support Opportunities: Research Grants - Young Investigators Grants
FAPESP's process: 13/07276-1 - CEPOF - Optics and Photonic Research Center
Grantee:Vanderlei Salvador Bagnato
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC
FAPESP's process: 15/50422-4 - 123: dimensionality and cooperativity
Grantee:Philippe Wilhelm Courteille
Support Opportunities: Regular Research Grants