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  • Title: Energy transfer dynamics and thermalization of two oscillators interacting via chaos.
    Author: Marchiori MA, Fariello R, de Aguiar MA.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2012 Apr; 85(4 Pt 1):041119. PubMed ID: 22680431.
    Abstract:
    We consider the classical dynamics of two particles moving in harmonic potential wells and interacting with the same external environment HE, consisting of N noninteracting 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 can a temperature be assigned to the system.
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