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About Model For The Derivation o F The Gibbs Distribution ( )
This document presents a simple stochastic model to illustrate how the Gibbs distribution arises from equilibrium. The model considers (N+1) systems that can exchange energy quanta through pairwise interactions. As N increases, the probability distribution for the system of interest approaches the Gibbs distribution. Specifically: 1) For N=1, the probability of occupying a given energy state is constant and not Gibbsian. 2) For any N, the probability is proportional to the number of configurations of the remaining N systems, approaching the Gibbs form as N grows large. 3) In the limit of N→∞, the underlying conditions that bring about the Gibbs distribution become clear - the system acts as an infinite heat reservoir.
Detailed Information
| Author: | ['Nnamuchi Chidike Elijah'] |
|---|---|
| Publication Year: | 2019 |
| Pages: | 8 |
| Language: | English |
| Format: | |
| Price: | FREE |
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