Finite size effects in the presence of a chemical potential: a study in the classical non-linear O(2) sigma-model
Finite size effects in the presence of a chemical potential: a study in the classical non-linear O(2) sigma-model
In the presence of a chemical potential, the physics of level crossings leads to singularities at zero temperature, even when the spatial volume is finite. These singularities are smoothed out at a finite temperature but leave behind nontrivial finite size effects which must be understood in order to extract thermodynamic quantities using Monte Carlo methods, particularly close to critical points. We illustrate some of these issues using the classical nonlinear
Banerjee, Debasish
dcc5d706-d0ed-40b7-94f6-a4ddd7d41646
Chandrasekharan, Shailesh
162eccab-c1a9-4b5c-8142-7a0ab4814cb3
8 June 2010
Banerjee, Debasish
dcc5d706-d0ed-40b7-94f6-a4ddd7d41646
Chandrasekharan, Shailesh
162eccab-c1a9-4b5c-8142-7a0ab4814cb3
Banerjee, Debasish and Chandrasekharan, Shailesh
(2010)
Finite size effects in the presence of a chemical potential: a study in the classical non-linear O(2) sigma-model.
Physical Review D, 81, [125007].
(doi:10.1103/PhysRevD.81.125007).
Abstract
In the presence of a chemical potential, the physics of level crossings leads to singularities at zero temperature, even when the spatial volume is finite. These singularities are smoothed out at a finite temperature but leave behind nontrivial finite size effects which must be understood in order to extract thermodynamic quantities using Monte Carlo methods, particularly close to critical points. We illustrate some of these issues using the classical nonlinear
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Published date: 8 June 2010
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Local EPrints ID: 500060
URI: http://eprints.soton.ac.uk/id/eprint/500060
ISSN: 2470-0010
PURE UUID: 9851cf20-3b08-4872-9647-beb73ab0915c
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Date deposited: 14 Apr 2025 16:47
Last modified: 15 Apr 2025 02:44
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Author:
Debasish Banerjee
Author:
Shailesh Chandrasekharan
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