Energy transfer dynamics and thermalization of two oscillators interacting via chaos

Details Energy transfer dynamics and thermalization of two oscillators interacting via chaos Energy transfer dynamics and thermalization of two oscillators interacting via chaos

2011-12-21

arxiv.org/abs/1112.5329v2

Physical Review E, 85, 041119 (2012)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 6 figures

Scientific paper

10.1103/PhysRevE.85.041119

We consider the classical dynamics of two particles moving in harmonic potential wells and interacting with the same external environment (HE), consisting of N non-interacting chaotic systems. The parameters are set so that when either particle is separately placed in contact with the environment, a dissipative behavior is observed. When both particles are simultaneously in contact with HE an indirect coupling between them is observed only if the particles are in near resonance. We study the equilibrium properties of the system considering ensemble averages for the case N=1 and single trajectory dynamics for N large. In both cases, the particles and the environment reach an equilibrium configuration at long times, but only for large N a temperature can be assigned to the system.

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