INVESTIGADORES
BRINGA Eduardo Marcial
artículos
Título:
Exact solution of the two-level system and the Einstein solid in the microcanonical formalism
Autor/es:
DALÍA S. BERTOLDI; E. M. BRINGA; E.N. MIRANDA
Revista:
EUROPEAN JOURNAL OF PHYSICS
Editorial:
IOP PUBLISHING LTD
Referencias:
Año: 2011 vol. 32 p. 1485 - 1493
ISSN:
0143-0807
Resumen:
solved in the microcanonical formalism because the number of accessible microstates can be easily evaluated. However, their solutions are usually presented using the Stirling approximation to deal with factorials. In this paper, those two models are solved without any approximation, using the gamma function and its derivatives. Exact values are calculated for the entropy, temperature and specific heat, and the relative error between our exact solution and the approximate one using the Stirling approximation. This error is significant for small systems, with a number of particles N ~ 100, as in studies of atomic clusters or nanoscale structures.
