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Linear instability and statistical laws of physics
Giulio Casati, Constantino Tsallis, Fulvio Baldovin
We show that a meaningful statistical description is possible in conservative and mixing systems with zero Lyapunov exponent in which the dynamical instability is only linear in ti…
Fourier's Law in a Quantum Spin Chain and the Onset of Quantum Chaos
Carlos Mejia-Monasterio, Tomaz Prosen, Giulio Casati
We study heat transport in a nonequilibrium steady state of a quantum interacting spin chain. We provide clear numerical evidence of the validity of Fourier law. The regime of norm…
Quantum dephasing and decay of classical correlation functions in chaotic systems
Valentin V. Sokolov, Giuliano Benenti, Giulio Casati
We discuss the dephasing induced by the internal classical chaotic motion in the absence of any external environment. To this end we consider a suitable extension of fidelity for m…
Heat conduction in one dimensional systems: Fourier law, chaos, and heat control
Giulio Casati, Baowen LI
In this paper we give a brief review of the relation between microscopic dynamical properties and the Fourier law of heat conduction as well as the connection between anomalous con…