Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness

Diana Conache, Alexei Daletskii, Yuri Kondratiev, Tanja Pasurek
2018 Journal of Mathematical Physics  
We study an infinite system of particles chaotically distributed over a Euclidean space R d . Particles are characterized by their positions x ∈ R d and an internal parameter (spin) σx ∈ R m , and interact via position-position and (position dependent) spin-spin pair potentials. Equilibrium states of such system are described by Gibbs measures on a marked configuration space. Due to the presence of unbounded spins, the model does not fit the classical (super-) stability theory of Ruelle. The
more » ... n result of the paper is the derivation of sufficient conditions of the existence and uniqueness of the corresponding Gibbs measures.
doi:10.1063/1.5021464 fatcat:5yoixxza4zcutakxrlb46wocte