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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