Bibliographic Details
| Title: |
Monotonicity of Ursell Functions in the Ising Model. |
| Authors: |
Camia, Federico1,2 (AUTHOR), Jiang, Jianping3 (AUTHOR) jianpingjiang@tsinghua.edu.cn, Newman, Charles M.2,4 (AUTHOR) |
| Superior Title: |
Communications in Mathematical Physics. Aug2023, Vol. 401 Issue 3, p2459-2482. 24p. |
| Subject Terms: |
*ISING model, *PARTITION functions |
| Abstract: |
In this paper, we consider Ising models with ferromagnetic pair interactions. We prove that the Ursell functions u 2 k satisfy: (- 1) k - 1 u 2 k is increasing in each interaction. As an application, we prove a 1983 conjecture by Nishimori and Griffiths about the partition function of the Ising model with complex external field h: its closest zero to the origin (in the variable h) moves towards the origin as an arbitrary interaction increases. [ABSTRACT FROM AUTHOR] |
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