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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.)

Statistical investigation and thermal properties for a 1-D impact system with dissipation

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Author(s):
Diaz, I, Gabriel ; Livorati, Andre L. P. [1] ; Leonel, Edson D. [1]
Total Authors: 3
Affiliation:
[1] Diaz, Gabriel, I, Univ Estadual Paulista, INESP, Av 24A, 1515 Bela Vista, BR-13506900 Rio Claro, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Physics Letters A; v. 380, n. 21, p. 1830-1838, MAY 6 2016.
Web of Science Citations: 2
Abstract

The behavior of the average velocity, its deviation and average squared velocity are characterized using three techniques for a 1-D dissipative impact system. The system - a particle, or an ensemble of non interacting particles, moving in a constant gravitation field and colliding with a varying platform - is described by a nonlinear mapping. The average squared velocity allows to describe the temperature for an ensemble of particles as a function of the parameters using: (i) straightforward numerical simulations; (ii) analytically from the dynamical equations; (iii) using the probability distribution function. Comparing analytical and numerical results for the three techniques, one can check the robustness of the developed formalism, where we are able to estimate numerical values for the statistical variables, without doing extensive numerical simulations. Also, extension to other dynamical systems is immediate, including time dependent billiards. (C) 2016 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 12/23688-5 - Exponents and scaling laws, phase transitions and transport properties of time dependent systems
Grantee:Edson Denis Leonel
Support Opportunities: Regular Research Grants
FAPESP's process: 14/25316-3 - Investigation of transport and diffusion properties of particles using escape formalism for time-dependent systems
Grantee:André Luís Prando Livorati
Support Opportunities: Scholarships in Brazil - Post-Doctoral