Phase transitions in continuum ferromagnets with unbounded spins

Daletskii A, Kondratiev Y, Kozitsky Y (2015)
Journal of Mathematical Physics 56(11): 113502.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Daletskii, Alexei; Kondratiev, YuriUniBi; Kozitsky, Yuri
Abstract / Bemerkung
States of thermal equilibrium of an infinite system of interacting particles in R-d are studied. The particles bear "unbounded" spins with a given symmetric a priori distribution. The interaction between the particles is pairwise and splits into position-position and spin-spin parts. The position-position part is described by a superstable potential, and the spin-spin part is attractive and of finite range. Thermodynamic states of the system are defined as tempered Gibbs measures on the space of marked configurations. It is proved that the set of such measures contains at least two elements if the activity is big enough. (C) 2015 AIP Publishing LLC.
Erscheinungsjahr
2015
Zeitschriftentitel
Journal of Mathematical Physics
Band
56
Ausgabe
11
Art.-Nr.
113502
ISSN
0022-2488
eISSN
1089-7658
Page URI
https://pub.uni-bielefeld.de/record/2901216

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Daletskii A, Kondratiev Y, Kozitsky Y. Phase transitions in continuum ferromagnets with unbounded spins. Journal of Mathematical Physics. 2015;56(11): 113502.
Daletskii, A., Kondratiev, Y., & Kozitsky, Y. (2015). Phase transitions in continuum ferromagnets with unbounded spins. Journal of Mathematical Physics, 56(11), 113502. doi:10.1063/1.4935163
Daletskii, A., Kondratiev, Y., and Kozitsky, Y. (2015). Phase transitions in continuum ferromagnets with unbounded spins. Journal of Mathematical Physics 56:113502.
Daletskii, A., Kondratiev, Y., & Kozitsky, Y., 2015. Phase transitions in continuum ferromagnets with unbounded spins. Journal of Mathematical Physics, 56(11): 113502.
A. Daletskii, Y. Kondratiev, and Y. Kozitsky, “Phase transitions in continuum ferromagnets with unbounded spins”, Journal of Mathematical Physics, vol. 56, 2015, : 113502.
Daletskii, A., Kondratiev, Y., Kozitsky, Y.: Phase transitions in continuum ferromagnets with unbounded spins. Journal of Mathematical Physics. 56, : 113502 (2015).
Daletskii, Alexei, Kondratiev, Yuri, and Kozitsky, Yuri. “Phase transitions in continuum ferromagnets with unbounded spins”. Journal of Mathematical Physics 56.11 (2015): 113502.

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