We numerically study heat conduction in chains of nonlinear oscillators with time-reversible thermostats. A nontrivial temperature profile is found to set in, which obeys a simple scaling relation for increasing the number N of particles. The thermal conductivity diverges approximately as N1/2, indicating that chaotic behavior is not enough to ensure the Fourier law. Finally, we show that the microscopic dynamics ensures fulfillment of a macroscopic balance equation for the entropy production.
Heat Conduction in Chains of Nonlinear Oscillators / S. LEPRI; R. LIVI; A. POLITI. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 78:(1997), pp. 1896-1899.
Heat Conduction in Chains of Nonlinear Oscillators
LIVI, ROBERTO;
1997
Abstract
We numerically study heat conduction in chains of nonlinear oscillators with time-reversible thermostats. A nontrivial temperature profile is found to set in, which obeys a simple scaling relation for increasing the number N of particles. The thermal conductivity diverges approximately as N1/2, indicating that chaotic behavior is not enough to ensure the Fourier law. Finally, we show that the microscopic dynamics ensures fulfillment of a macroscopic balance equation for the entropy production.
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