On the uniqueness of Gibbs states in some dynamical systems

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By applying Grothendieck theory and Ruelle thermodynamic formalism, we prove that, for expansive dynamical systems and interaction potentials satisfying certain conditions of analyticity, the associated Gibbs states are unique. This allows us to draw an analogy between some quantities in classical t...

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Detalles Bibliográficos
Autores principales: Mesón, Alejandro Mario, Vericat, Fernando
Formato: Articulo
Lenguaje:Inglés
Publicado: 2009
Materias:
Ciencias Exactas
Matemática
Física
thermodynamics
Gibbs states
Grothendieck theory
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/139382
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario:By applying Grothendieck theory and Ruelle thermodynamic formalism, we prove that, for expansive dynamical systems and interaction potentials satisfying certain conditions of analyticity, the associated Gibbs states are unique. This allows us to draw an analogy between some quantities in classical thermodynamics and abstract dynamics in the spirit of the previous work of the authors [13].

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