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Title: Classical and quantum chaos and control of heat flow
Authors: Casati, G. 
Mejía-Monasterio, C.
Keywords: Heat transport
Nonequilibrium thermodynamics
Nonlinear dynamics and chaos
Quantum chaos
Issue Date: Jan-2007
Citation: Casati, G.,Mejía-Monasterio, C. (2007-01). Classical and quantum chaos and control of heat flow. Journal of the Korean Physical Society 50 (1 I) : 158-165. ScholarBank@NUS Repository.
Abstract: 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 rectification and briefly discuss the different types of microscopic mechanisms that lead to the rectification of heat flow. The control of heat conduction by nonlinearity opens the possibility to propose new devices, such as a thermal rectifier.
Source Title: Journal of the Korean Physical Society
ISSN: 03744884
Appears in Collections:Staff Publications

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