Non-monotonic behavior of the Binder parameter in discrete spin systems

概要

We study a non-monotonic behavior of the Binder parameter, which appears in discrete spin systems. We show that the Binder parameters of the Potts model are non-monotonic for q = 3 and 4, while they are monotonic for the Ising case (q = 2). Using the Fortuin–Kasteleyn graph representation, we find that the improved estimator of the Binder parameter consists of two terms with values only in the high- and low-temperature regions. The non-monotonic behavior is found to originate from the low-temperature term. With the appropriately defined order parameter, we can reduce the influence of the low-temperature term and, as a result, the non-monotonic behavior can also be reduced. We propose new definitions for the order parameter, which reduces or eliminates the non-monotonic behavior of the Binder parameter in a system for which the improved estimator of the Binder parameter is unknown.

URL

https://isspns-gitlab.issp.u-tokyo.ac.jp/kaityo256/PottsBinder

著者

Hiroshi Watanabe, Yuichi Motoyama, Satoshi Morita, Naoki Kawashima

ライセンス

CC-BY 4.0

カテゴリ

その他

関連文献

Progress of Theoretical and Experimental Physics, Volume 2023, Issue 3, March 2023, 033A02

連絡先

hwatanabe__at__appi.keio.ac.jp,y-motoyama__at__issp.u-tokyo.ac.jp,smorita__at__keio.jp,kawashima__at__issp.u-tokyo.ac.jp (__at__ を @ に置き換えてください。)

リンク

README

出典: https://isspns-gitlab.issp.u-tokyo.ac.jp/kaityo256/PottsBinder の README

更新状況