Europhys. Lett.
Volume 48, Number 2, October 1999
Page(s) 143 - 149
Section General
Published online 01 September 2002
DOI: 10.1209/epl/i1999-00458-0

Europhys. Lett, 48 (2), pp. 143-149 (1999)

Fast driving: Effective equations of motion for classical systems

N. P. Tretiakov and J. N. Teixeira Rabelo

Instituto de Física, Universidade Federal de Goiás - 7400-970, Goiânia, GO, Brasil

(received 8 February 1999; accepted in final form 30 August 1999)

PACS. 05.45-a - Nonlinear dynamics and nonlinear dynamical systems.
PACS. 05.20-y - Classical statistical mechanics.
PACS. 05.70-a - Thermodynamics.


A general theory of a large class of classical dynamical systems with an external rapidly oscillating driving action is proposed. A Hamiltonian formalism is used in order to permit a straightforward transition to the statistical thermodynamics of these systems. The main result of this work are the effective equations for the mean motion.


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