Equality statements for entropy change in open systems
| dc.creator | Robinson, John M. | |
| dc.date | 2007-11-30 | |
| dc.date.accessioned | 2026-07-07T08:46:27Z | |
| dc.date.available | 2026-07-07T08:46:27Z | |
| dc.description | The entropy change of a (non-equilibrium) Markovian ensemble is calculated from (1) the ensemble phase density $p(t)$ evolved as iterative map, $p(t) = \mathbb{M}(t) p(t- Δt)$ under detail balanced transition matrix $\mathbb{M}(t)$, and (2) the invariant phase density $π(t) = \mathbb{M}(t)^{\infty} π(t) $. A virtual measurement protocol is employed, where variational entropy is zero, generating exact expressions for irreversible entropy change in terms of the Jeffreys measure, $\mathcal{J}(t) = \sum_Γ [p(t) - π(t)] \ln \bfrac{p(t)}{π(t)}$, and for reversible entropy change in terms of the Kullbach-Leibler measure, $\mathcal{D}_{KL}(t) = \sum_Γ π(0) \ln \bfrac{π(0)}{π(t)}$. Five properties of $\mathcal{J}$ are discussed, and Clausius' theorem is derived. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0711.4957 | |
| dc.identifier | http://arxiv.org/abs/0711.4957 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143252 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Equality statements for entropy change in open systems | |
| dc.type | text |