Volume 126, Number 1, April 2019
|Number of page(s)||7|
|Published online||21 May 2019|
New type of equilibrium distribution for a system of charges in a spherically symmetric electric field
1 Centro Brasileiro de Pesquisas Físicas - Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, Brazil
2 National Institute of Science and Technology for Complex Systems - Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, Brazil
Received: 5 February 2019
Accepted: 9 April 2019
A system of N mobile negatively charged particles moving in a neutral and dissipative medium, under a confining electric field produced by a spherical-capacitor apparatus, is studied. The equations of motion are approximated to the continuous limit leading to a nonlinear Fokker-Planck equation; these analytical results are supported by molecular-dynamics simulations. The definitively non-Yukawa equilibrium position distribution, which emerges from first principles, is expressed in terms of a q-exponential function. The present work opens the door to new experiments in a system with long-range repulsive interactions, indicated herein as a potential candidate for nonextensive statistical mechanics.
PACS: 05.40.Fb – Random walks and Levy flights / 05.70.Ce – Thermodynamic functions and equations of state / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems (restricted to new topics in section 05)
© EPLA, 2019
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