抄録
Sine-square deformation (SSD) is a treatment proposed in quantum systems, which spatially modifies a Hamiltonian, gradually decreasing the local energy scale from the center of the system toward the edges by a sine-squared envelope function. It is known to serve as a good boundary condition as well as to provide physical quantities reproducing those of the infinite-size systems. We apply the SSD to one- and two-dimensional classical Ising models. Based on the analytical calculations and Monte Carlo simulations, we find that the classical SSD system is regarded as an extended canonical ensemble of a local subsystem, each characterized by its own effective temperature. This effective temperature is defined by normalizing the system temperature by the deformed local energy scale. A single calculation for a given system temperature provides a set of physical quantities of various temperatures that quantitatively reproduces well those of the uniform system.
本文言語 | English |
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論文番号 | 034133 |
ジャーナル | Physical Review E |
巻 | 104 |
号 | 3 |
DOI | |
出版ステータス | Published - 2021 9月 |
ASJC Scopus subject areas
- 統計物理学および非線形物理学
- 統計学および確率
- 凝縮系物理学