2010/03/29 by Ignacio García-Mata, Ignacio Garcia-Mata, Bernardo Casabone +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Boltzmann constant #Chaotic #Coupling (piping) #Lyapunov exponent #Measure (data warehouse) #Quantum #Quantum chaos and dynamical systems #Quantum decoherence #Quantum many-body systems #Sensitivity (control systems) #Term (time) #nlin.CD #quant-ph
paper · pdf · doi:10.1098/rsta.2010.0254
published as Phil. Trans. R. Soc. A 369, 278-290 (2011) · 13 pages, 3 figures.
arxiv created 2010/03/29 · openalex publication_date 2010/12/13 · arxiv updated 2010/12/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Boltzmann echo (BE) is a measure of irreversibility and sensitivity to perturbations for non-isolated systems. Recently, different regimes of this quantity were described for chaotic systems. There is a perturbative regime where the BE decays with a rate given by the sum of a term depending on the accuracy with which the system is time reversed and a term depending on the coupling between the system and the environment. In addition, a parameter-independent regime, characterized by the classical Lyapunov exponent, is expected. In this paper, we study the behaviour of the BE in hyperbolic maps that are in contact with different environments. We analyse the emergence of the different regimes and show that the behaviour of the decay rate of the BE is strongly dependent on the type of environment.