Abstract

This contribution is devoted to cover some technical aspects related to the use of the recently proposed energy probability distribution zeros in the study of phase transitions. This method is based on the partial knowledge of the partition function zeros and has been shown to be extremely efficient to precisely locate phase transition temperatures. It is based on an iterative method in such a way that the transition temperature can be approached at will. The iterative method will be detailed and some convergence issues that has been observed in its application to the 2D Ising model and to an artificial spin ice model will be shown, together with ways to circumvent them.

Details

Title
On the use of the energy probability distribution zeros in the study of phase transitions
Author
Mól, L A S 1 ; Rodrigues, R G M 1 ; Stancioli, R A 1 ; Rocha, J C S 2 ; Costa, B V 1 

 Laboratório de Simulação, Departamento de Física, ICEx, Universidade Federal de Minas Gerais, 31720-901, Belo Horizonte, Minas Gerais, Brazil 
 Departamento de Física, ICEB, Universidade Federal de Ouro Preto, 35400-000, Ouro Preto, Minas Gerais, Brazil 
Publication year
2018
Publication date
Apr 2018
Publisher
IOP Publishing
ISSN
17426588
e-ISSN
17426596
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2572240199
Copyright
© 2018. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.