Phase transition of Laplacian roughening model on a triangular lattice using Wang-Landau Monte Carlo simulation and Fisher zeros
- Authors
- Kim, Jin Min
- Issue Date
- Feb-2021
- Publisher
- IOP PUBLISHING LTD
- Keywords
- classical phase transitions; critical exponents and amplitudes; roughening transition; fluctuation phenomena
- Citation
- JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v.2021, no.2
- Journal Title
- JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
- Volume
- 2021
- Number
- 2
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/40765
- DOI
- 10.1088/1742-5468/abdd1a
- ISSN
- 1742-5468
- Abstract
- Phase transition of the discrete Laplacian roughening model was investigated on a triangular lattice of various sizes by using the Wang-Landau (WL) Monte Carlo simulation and finite-size scaling analysis of partition-function zeros. The density of states was calculated using the WL method, and the internal energy and specific heat were calculated as a function of temperature. A single transition was observed at T-c = 1.855(5) with a new universality class of the correlation exponent nu = 0.70(1) and the specific heat exponent alpha = 0.60(4). The results were confirmed by the finite size scaling analysis of the first zeros for the partition function. The critical exponents satisfy the scaling relation alpha = 2 - d nu very well.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Natural Sciences > Department of Physics > 1. Journal Articles
![qrcode](https://api.qrserver.com/v1/create-qr-code/?size=55x55&data=https://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/40765)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.