Large deviations principle for the mean-field Heisenberg model with external magnetic field

Large deviations principle for the mean-field Heisenberg model with external magnetic field

In this paper, we consider the mean-field Heisenberg model with deterministic external magnetic field. We prove a large deviation principle for Sn=n with respect to the associated Gibbs measure, where Sn=n is the scaled partial sum of spins. In particular, we obtain an explicit expression for the ra...

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Veröffentlicht in:Tạp chí Khoa học 2019-08, Vol.48 (2A)
Hauptverfasser: Ngoc Tu, NGUYEN, Chi Dung, NGUYEN, Van Thanh, LE, Thi Phuong Yen, DANG
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we consider the mean-field Heisenberg model with deterministic external magnetic field. We prove a large deviation principle for Sn=n with respect to the associated Gibbs measure, where Sn=n is the scaled partial sum of spins. In particular, we obtain an explicit expression for the rate function.
ISSN:1859-2228
DOI:10.56824/vujs.2019nt11