Microcanonical origin of the maximum entropy principle for open systems
- Authors
- Lee, Julian; Presse, Steve
- Issue Date
- 15-Oct-2012
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW E, v.86, no.4
- Journal Title
- PHYSICAL REVIEW E
- Volume
- 86
- Number
- 4
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/12328
- DOI
- 10.1103/PhysRevE.86.041126
- ISSN
- 1539-3755
- Abstract
- There are two distinct approaches for deriving the canonical ensemble. The canonical ensemble either follows as a special limit of the microcanonical ensemble or alternatively follows from the maximum entropy principle. We show the equivalence of these two approaches by applying the maximum entropy formulation to a closed universe consisting of an open system plus bath. We show that the target function for deriving the canonical distribution emerges as a natural consequence of partial maximization of the entropy over the bath degrees of freedom alone. By extending this mathematical formalism to dynamical paths rather than equilibrium ensembles, the result provides an alternative justification for the principle of path entropy maximization as well.
- Files in This Item
-
Go to Link
- Appears in
Collections - College of Natural Sciences > School of Systems and Biomedical Science > 1. Journal Articles
![qrcode](https://api.qrserver.com/v1/create-qr-code/?size=55x55&data=https://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/12328)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.