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

Conache D, Daletskii A, Kondratiev Y, Pasurek T (2018)
JOURNAL OF MATHEMATICAL PHYSICS 59(1): 25.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Autor*in
Conache, Diana; Daletskii, Alexei; Kondratiev, YuriUniBi; Pasurek, TatianaUniBi
Abstract / Bemerkung
We study an infinite system of particles chaotically distributed over a Euclidean space R-d. Particles are characterized by their positions x is an element of R-d and an internal parameter (spin) sigma(x) is an element of 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 main result of the paper is the derivation of sufficient conditions of the existence and uniqueness of the corresponding Gibbs measures. Published by AIP Publishing.
Erscheinungsjahr
2018
Zeitschriftentitel
JOURNAL OF MATHEMATICAL PHYSICS
Band
59
Ausgabe
1
Art.-Nr.
25
ISSN
0022-2488
eISSN
1089-7658
Page URI
https://pub.uni-bielefeld.de/record/2917737

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Conache D, Daletskii A, Kondratiev Y, Pasurek T. Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness. JOURNAL OF MATHEMATICAL PHYSICS. 2018;59(1): 25.
Conache, D., Daletskii, A., Kondratiev, Y., & Pasurek, T. (2018). Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness. JOURNAL OF MATHEMATICAL PHYSICS, 59(1), 25. doi:10.1063/1.5021464
Conache, D., Daletskii, A., Kondratiev, Y., and Pasurek, T. (2018). Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness. JOURNAL OF MATHEMATICAL PHYSICS 59:25.
Conache, D., et al., 2018. Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness. JOURNAL OF MATHEMATICAL PHYSICS, 59(1): 25.
D. Conache, et al., “Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness”, JOURNAL OF MATHEMATICAL PHYSICS, vol. 59, 2018, : 25.
Conache, D., Daletskii, A., Kondratiev, Y., Pasurek, T.: Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness. JOURNAL OF MATHEMATICAL PHYSICS. 59, : 25 (2018).
Conache, Diana, Daletskii, Alexei, Kondratiev, Yuri, and Pasurek, Tatiana. “Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness”. JOURNAL OF MATHEMATICAL PHYSICS 59.1 (2018): 25.