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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Bachelard, Romain [1] ; Piovella, Nicola [2] ; Gupta, Shamik [3]
Total Authors: 3
[1] Univ Fed Sao Carlos, Dept Fis, Rodovia Washington Luis, Km 235, BR-13565905 Sao Carlos, SP - Brazil
[2] Univ Milan, Dipartimento Fis Aldo Pontremoli, Via G Celoria 16, I-20133 Milan - Italy
[3] Ramakrishna Mission Vivekananda Univ, Dept Phys, Belur Math 711202, Howrah - India
Total Affiliations: 3
Document type: Journal article
Source: Physical Review E; v. 99, n. 1 JAN 18 2019.
Web of Science Citations: 0

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