Microcanonical Entropy of the Infinite-State Potts Model
Joint Authors
Johansson, Jonas
Pistol, Mats-Erik
Source
Physics Research International
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-24
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
In this investigation we show that the entropy of the two-dimensional infinite-state Potts model is linear in configurational energy in the thermodynamic limit.
This is a direct consequence of the local convexity of the microcanonical entropy, associated with a finite system undergoing a first-order transition.
For a sufficiently large number of states q, this convexity spans the entire energy range of the model.
In the thermodynamic limit, the convexity becomes insignificant, and the microcanonical entropy (the logarithm of the density of states) tends to a straight line.
In order to demonstrate the behaviour of the convexity, we use the Wang-Landau Monte-Carlo technique to numerically calculate the density of states for a few finite but high values of q.
Finally, we calculate the free energy and discuss the generality of our results.
American Psychological Association (APA)
Johansson, Jonas& Pistol, Mats-Erik. 2011. Microcanonical Entropy of the Infinite-State Potts Model. Physics Research International،Vol. 2011, no. 2011, pp.1-5.
https://search.emarefa.net/detail/BIM-472215
Modern Language Association (MLA)
Johansson, Jonas& Pistol, Mats-Erik. Microcanonical Entropy of the Infinite-State Potts Model. Physics Research International No. 2011 (2011), pp.1-5.
https://search.emarefa.net/detail/BIM-472215
American Medical Association (AMA)
Johansson, Jonas& Pistol, Mats-Erik. Microcanonical Entropy of the Infinite-State Potts Model. Physics Research International. 2011. Vol. 2011, no. 2011, pp.1-5.
https://search.emarefa.net/detail/BIM-472215
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472215