Entropy of Open Lattice Systems
| Autor: | Derrida, B., Lebowitz, J. L., Speer, E. R. |
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| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | J. Stat. Phys. 126, 1083-1108 (2007) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10955-006-9160-5 |
| Popis: | We investigate the behavior of the Gibbs-Shannon entropy of the stationary nonequilibrium measure describing a one-dimensional lattice gas, of L sites, with symmetric exclusion dynamics and in contact with particle reservoirs at different densities. In the hydrodynamic scaling limit, L to infinity, the leading order (O(L)) behavior of this entropy has been shown by Bahadoran to be that of a product measure corresponding to strict local equilibrium; we compute the first correction, which is O(1). The computation uses a formal expansion of the entropy in terms of truncated correlation functions; for this system the k-th such correlation is shown to be O(L^{-k+1}). This entropy correction depends only on the scaled truncated pair correlation, which describes the covariance of the density field. It coincides, in the large L limit, with the corresponding correction obtained from a Gaussian measure with the same covariance. Comment: Latex, 28 pages, 4 figures as eps files |
| Databáze: | arXiv |
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