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  • Mots-clés: RESEAUX

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_66_04/P_66_04.pdf
Abstract : The equilibrium states for an infinite system of classical mechanics may be represented by states over Abelian C* algebras. We consider here continuous and lattice systems and define a mean entropy for their states. The properties of this…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_67_X012/P_67_X012.pdf
Abstract : It is shown that for an infinite lattice system, thermodynamic equilibrium is the solution of a variational problem involving a mean entropy of states introduced earlier [2]. As an application, a version of the Gibbs phase rule is proved.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_67_X016/P_67_X016.pdf
Abstract : We study the statistical mechanics of an infinite one-dimensional classical lattice gas. Extending a result of Van Hove we show that, for a large class of interactions, such a system has no phase transition. The equilibrium state of the…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_70_X029/P_70_X029.pdf
Abstract : Let E be the compact set of states on a C?-algebra U with identity. We discuss the representations of a state ? as barycenter of a probability measure ? on E. Examples of such representations are the central decomposition and the ergodic…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_70_X033/P_70_X033.pdf
Abstract : We consider classical systems of particles inv dimensions. For a very large class of pair potentials (superstable lower regular potentials) it is shown that the correlation functions have bounds of the form ?(x1,...,xn)??n. Using these and…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_70_X036/P_70_X036.pdf
Abstract : A mechanism for the genetration of turbulence and related phenomena in dissipative systems is proposed.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_72_20/P_72_20.pdf
Abstract : Let the origin O of a Banach space E be a fixed point of a diffeomorphism or a critical point of a vector, assuming equivariance under a linear group of isometries of E. Explicit techniques are presented to handle the generalization of the…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_72_29/P_72_29.pdf
Abstract : We use techniques which generalize the Lee-Yang circle theorem to investigate the distribution of zeroes of the partition function for various classes of classical lattice systems.

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_76_149/P_76_149.pdf
Abstract : Let Z be a suitable Banach space of interactions for a lattice spin system. If n+1 thermodynamic phases coexist for ?0 ?Z, it is shown that a manifold of codimension n of coexistence of (at least) n+1 phases passes through ?0. There are…

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1977-1990/P_81_23/P_81_23.pdf
Abstract : The strange attractors plotted by computers and seen in physical experiments do not necessarily have an open basin of attraction. In view of this we study a new definition of attractors based on ideas of Conley. We argue that the…

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