LARGE DEVIATIONS PRINCIPLE FOR THE MEAN-FIELD HEISENBERG MODEL WITH EXTERNAL MAGNETIC FIELD

• Tác giả: Dang Thi Phuong Yen, Van Thanh Le, Chi Dung Nguyen, Ngoc Tu Nguyen
• Ngôn ngữ: eng
• Thông tin xuất bản: Tạp chí Khoa học - Trường Đại học Vinh, 2019
• Bộ sưu tập: Metadata
• ID: 456007

Tóm tắt

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.