BOLTZMANN'S ERGODIC HYPOTHESIS: A MEETING PLACE FOR TWO CULTURES
| Autor: | M. Howard Lee |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Transitive relation
Pure mathematics Ergodicity Statistical and Nonlinear Physics Ergodic hypothesis Function (mathematics) Ergodic Ramsey theory Classical XY model Condensed Matter Physics Stationary ergodic process Measure (mathematics) Phase space Quantum mechanics Ergodic theory Invariant measure Birkhoff's theorem Mathematics |
| Zdroj: | International Journal of Modern Physics B. 24:5241-5251 |
| ISSN: | 1793-6578 0217-9792 |
| Popis: | The physical theory for the ergodic hypothesis is premised on the idea that the hypothesis is measurable by scattering experiment. Therewith it proves the hypothesis by measurable properties of the response function. Birkhoff's theorem proves the ergodic hypothesis by abstract properties of phase space, the measure and transitivity. In this work we apply the two independent approaches to a particular many-body model (spin-1/2 XY model) to see whether they arrive at the same conclusions on the ergodicity question. The two approaches are compared to gain insight into their goals. |
| Databáze: | OpenAIRE |
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