Formation of vortex loops (strings) in continuous phase transitions

Mark J. Bowick; Angelo Cacciuto; Alex Travesset

doi:10.1103/PhysRevE.65.026133

Formation of vortex loops (strings) in continuous phase transitions

Mark J. Bowick, Angelo Cacciuto, Alex Travesset

Department of Physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The formation of vortex loops (global cosmic strings) in an O(2) linear sigma model in three spatial dimensions is analyzed numerically. For over-damped Langevin dynamics we find that defect production is suppressed by an interaction between correlated domains that reduces the effective spatial variation of the phase of the order field. The degree of suppression is sensitive to the quench rate. A detailed description of the numerical methods used to analyze the model is also reported.

Original language	English (US)
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	65
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.65.026133
State	Published - 2002

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.65.026133

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title = "Formation of vortex loops (strings) in continuous phase transitions",

abstract = "The formation of vortex loops (global cosmic strings) in an O(2) linear sigma model in three spatial dimensions is analyzed numerically. For over-damped Langevin dynamics we find that defect production is suppressed by an interaction between correlated domains that reduces the effective spatial variation of the phase of the order field. The degree of suppression is sensitive to the quench rate. A detailed description of the numerical methods used to analyze the model is also reported.",

author = "Bowick, {Mark J.} and Angelo Cacciuto and Alex Travesset",

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doi = "10.1103/PhysRevE.65.026133",

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AB - The formation of vortex loops (global cosmic strings) in an O(2) linear sigma model in three spatial dimensions is analyzed numerically. For over-damped Langevin dynamics we find that defect production is suppressed by an interaction between correlated domains that reduces the effective spatial variation of the phase of the order field. The degree of suppression is sensitive to the quench rate. A detailed description of the numerical methods used to analyze the model is also reported.

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JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

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ER -

Formation of vortex loops (strings) in continuous phase transitions

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