Multiple phases in stochastic dynamics: geometry and probabilities
| dc.creator | Gaveau, B. | |
| dc.creator | Schulman, L. S. | |
| dc.date | 2006-04-06 | |
| dc.date.accessioned | 2026-07-07T08:41:25Z | |
| dc.date.available | 2026-07-07T08:41:25Z | |
| dc.description | Stochastic dynamics is generated by a matrix of transition probabilities. Certain eigenvectors of this matrix provide observables, and when these are plotted in the appropriate multi-dimensional space the phases (in the sense of phase transitions) of the underlying system become manifest as extremal points. This geometrical construction, which we call an \textit{observable-representation of state space}, can allow hierarchical structure to be observed. It also provides a method for the calculation of the probability that an initial points ends in one or another asymptotic state. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0604159 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0604159 | |
| dc.identifier | Phys. Rev. E 73, 036124 (2006) | |
| dc.identifier | doi:10.1103/PhysRevE.73.036124 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141668 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Other Condensed Matter | |
| dc.title | Multiple phases in stochastic dynamics: geometry and probabilities | |
| dc.type | text |