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

Author(s)

Diaz, I, Gabriel ; Livorati, Andre L. P. ^[1] ; Leonel, Edson D. ^[1]

Affiliation

^[1] Diaz, Gabriel, I, Univ Estadual Paulista, INESP, Av 24A, 1515 Bela Vista, BR-13506900 Rio Claro, SP - Brazil

• 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