- Tytuł:
- Canonical distributions and phase transitions
- Autorzy:
-
Athreya, K
Smith, J - Powiązania:
- https://bibliotekanauki.pl/articles/729916.pdf
- Data publikacji:
- 2000
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
canonical distribution
canonical ensemble
Gibbs state
phase transition
entropy maximization
Rényi entropy - Opis:
- Entropy maximization subject to known expected values is extended to the case where the random variables involved may take on positive infinite values. As a result, an arbitrary probability distribution on a finite set may be realized as a canonical distribution. The Rényi entropy of the distribution arises as a natural by-product of this realization. Starting with the uniform distributionon a proper subset of a set, the canonical distribution of equilibriumstatistical mechanics may be used to exhibit an elementary phase transition, characterized by discontinuity of the partition function.
- Źródło:
-
Discussiones Mathematicae Probability and Statistics; 2000, 20, 2; 167-176
1509-9423 - Pojawia się w:
- Discussiones Mathematicae Probability and Statistics
- Dostawca treści:
- Biblioteka Nauki
Artykuł