Simulation of lattice statistical models with defects: Critical Casimir Effect

Sergey Mostovoy; Oleg Pavlovsky

doi:10.1051/epjconf/201817503005

EPJ

a
b
d
e
ap
st
h
plus

Proceedings

Open Access

EPJ Web of Conferences 175, 03005 (2018)
https://doi.org/10.1051/epjconf/201817503005

Simulation of lattice statistical models with defects: Critical Casimir Effect

Sergey Mostovoy¹ and Oleg Pavlovsky¹^,2^*

¹ MSU, Moscow, Russia
² ITEP, Moscow, Russia

^* Speaker, e-mail: ovp@goa.bog.msu.ru

Published online: 26 March 2018

Abstract

The influence of lattice structure defects on phase transition phenomena was studied in framework of 2D spin model. Effective mass of defect was proposed for investigation of conformal properties of the model at critical point. The volume dependence of defect’s mass at critical point and the Critical Casimir interaction of two defects were studied. It was shown that this Casimir interaction is attraction for any value of hopping parameter. The confinement of the defect on the defects line and the process of defects line collapse were studied. Applications in nanophysics and biophysics were discussed.

© The Authors, published by EDP Sciences, 2018

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).