NONEXTENSIVE MICROSCOPIC BEHAVIOR OF LONG-RANGE INTERACTING PARTICLES IN PERIODIC MEDIA

Sergio Curilef ()
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Sergio Curilef: Departamento de Física, Universidad Católica del Norte, Casilla 1280, Antofagasta, Chile

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 03, 629-634

Abstract: This work presents a possible way to study the long-range interacting particles in finite-infinite (mesoscopic-macroscopic) systems with periodic boundary conditions. A symmetric lattice and their contributions over all space are used in the problem. In the present model, we assume that at long distances, the two-body attractive potential decays as a1/rαlaw. We verified that the potential in any particle converges (diverges) when the interactions are short(long)-ranged. On the other hand, forces in any particle converge rapidly in all cases. However, we adopt a nonextensive scaling and we guarantee that the potential converges anywhere.

Keywords: Long-Range Interactions; Interactions with Periodic Boundary Conditions; Periodic Summations; Nonextensive Thermodynamics (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100000547

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