Please use this identifier to cite or link to this item: https://doi.org/10.1088/1742-5468/2015/03/P03004
Title: The Ising chain constrained to an even or odd number of positive spins
Authors: GASTNER, MICHAEL THORSTEN 
Keywords: rigorous results in statistical mechanics, solvable lattice models
Issue Date: 3-Mar-2015
Publisher: IOP Publishing Ltd and SISSA Medialab srl
Citation: GASTNER, MICHAEL THORSTEN (2015-03-03). The Ising chain constrained to an even or odd number of positive spins. Journal of Statistical Mechanics: Theory and Experiment 2015 (3) : P03004. ScholarBank@NUS Repository. https://doi.org/10.1088/1742-5468/2015/03/P03004
Abstract: We investigate the statistical mechanics of the periodic one- dimensional Ising chain when the number of positive spins is constrained to be either an even or an odd number. We calculate the partition function using a generalization of the transfer matrix method. On this basis, we derive the exact magnetization, susceptibility, internal energy, heat capacity and correlation function. We show that in general the constraints substantially slow down convergence to the thermodynamic limit. By taking the thermodynamic limit together with the limit of zero temperature and zero magnetic field, the constraints lead to new scaling functions and different probability distributions for the magnetization. We demonstrate how these results solve a stochastic version of the one-dimensional voter model.
Source Title: Journal of Statistical Mechanics: Theory and Experiment
URI: https://scholarbank.nus.edu.sg/handle/10635/168516
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2015/03/P03004
Appears in Collections:Elements
Staff Publications

Show full item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
Gastner_2015_J._Stat._Mech._2015_P03004.pdfPublished version995.6 kBAdobe PDF

OPEN

Post-printView/Download

SCOPUSTM   
Citations

3
checked on Nov 23, 2020

Page view(s)

52
checked on Nov 20, 2020

Download(s)

2
checked on Nov 20, 2020

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.