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Strong Evidence of Normal Heat Conduction in a one-Dimensional Quantum System | | Keiji Saito
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11 Dec 2002 | | Journal: | Europys Lett. vol.61 34 (2003) | | Subject: | Chaotic Dynamics | nlin.CD | | Abstract: | We investigate how the normal energy transport is realized in one-dimensional quantum systems using a quantum spin system. The direct investigation of local energy distribution under thermal gradient is made using the quantum master equation, and the mixing properties and the convergence of the Green-Kubo formula are investigated when the number of spin increases. We find that the autocorrelation function in the Green-Kubo formula decays as $sim t^{-1.5}$ to a finite value which vanishes rapidly with the increase of the system size. As a result, the Green-Kubo formula converges to a finite value in the thermodynamic limit. These facts strongly support the realization of Fourier heat law in a quantum system. | | Source: | arXiv, nlin.CD/0212027 | | Services: | Forum | Review | PDF | Favorites | |
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