A law of order estimation and leading-order terms for a family of averaged quantities on a multibaker chain system
- Department of Mechanical Science and Bioengineering, 1-3 Machikaneyama, Toyonaka, Osaka 560-8531 (Japan)
In this study, a family of local quantities defined on each partition and its averaging on a macroscopic small region, site, are defined on a multibaker chain system. On its averaged quantities, a law of order estimation in the bulk system is proved, making it possible to estimate the order of the quantities with respect to the representative partition scale parameter Δ. Moreover, the form of the leading-order terms of the averaged quantities is obtained, and the form enables us to have the macroscopic quantity in the continuum limit, as Δ → 0, and to confirm its partitioning independency. These deliverables fully explain the numerical results obtained by Ishida, consistent with the irreversible thermodynamics.
- OSTI ID:
- 22306187
- Journal Information:
- Journal of Mathematical Physics, Vol. 55, Issue 6; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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