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Classical and Quantum Chaos and Control of Heat Flow
Giulio Casati,C. Mejia-Monasteo 한국물리학회 2007 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.50 No.1I
We discuss the problem of heat conduction in classical and quantum low-dimensional systems from a microscopic point of view. At the classical level we provide convincing numerical evidence for the validity of the Fourier law of heat conduction in linear mixing systems, i.e., in systems without exponential instability. At the quantum level, where motion is characterized by the lack of exponential dynamical instability, we show that the validity of the Fourier law is in direct relation to the onset of quantum chaos. We then study the phenomenon of thermal recti.cation and brie°y discuss the dierent types of microscopic mechanisms that lead to the recti.cation of heat °ow. The control of heat conduction by nonlinearity opens the possibility to propose new devices, such as a thermal recti.er.