A Parrinello-Rahman approach to vortex lattices

R. Carretero-González; P. G. Kevrekidis; I. G. Kevrekidis; D. Maroudas; D. J. Frantzeskakis

doi:10.1016/j.physleta.2005.04.046

A Parrinello-Rahman approach to vortex lattices

R. Carretero-González, P. G. Kevrekidis, I. G. Kevrekidis, D. Maroudas, D. J. Frantzeskakis

Chemical & Biological Engineering

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

8 Scopus citations

Abstract

We present a framework for studying vortex lattice patterns and their structural transitions, using the Parrinello-Rahman (PR) method for molecular-dynamics (MD) simulations. Assuming an interaction between vortices derived from a Ginzburg-Landau field-theoretic context, we extract the ground-state of a "vortex gas" using the PR-MD technique and find it to be a triangular pattern. Other patterns are also obtained for special initial conditions. Generalizations of the technique, such as the inclusion of external potentials or excitation of quadrupolar modes, are also commented upon.

Original language	English (US)
Pages (from-to)	128-134
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	341
Issue number	1-4
DOIs	https://doi.org/10.1016/j.physleta.2005.04.046
State	Published - Jun 20 2005

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

Keywords

Bose-Einstein condensation
Molecular dynamics
Parrinello-Rahman
Vortex lattices
Vortices

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10.1016/j.physleta.2005.04.046

Cite this

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title = "A Parrinello-Rahman approach to vortex lattices",

abstract = "We present a framework for studying vortex lattice patterns and their structural transitions, using the Parrinello-Rahman (PR) method for molecular-dynamics (MD) simulations. Assuming an interaction between vortices derived from a Ginzburg-Landau field-theoretic context, we extract the ground-state of a {"}vortex gas{"} using the PR-MD technique and find it to be a triangular pattern. Other patterns are also obtained for special initial conditions. Generalizations of the technique, such as the inclusion of external potentials or excitation of quadrupolar modes, are also commented upon.",

keywords = "Bose-Einstein condensation, Molecular dynamics, Parrinello-Rahman, Vortex lattices, Vortices",

author = "R. Carretero-Gonz{\'a}lez and Kevrekidis, {P. G.} and Kevrekidis, {I. G.} and D. Maroudas and Frantzeskakis, {D. J.}",

note = "Funding Information: This work was supported by NSF-DMS-0204585, NSF-CAREER and the Eppley Foundation for Research (P.G.K.), AFOSR and NSF/ITR (I.G.K.), NSF/ITR grant CTS-0205584 (D.M.), and the SDSU Foundation (R.C.G.).",

year = "2005",

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doi = "10.1016/j.physleta.2005.04.046",

language = "English (US)",

volume = "341",

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journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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T1 - A Parrinello-Rahman approach to vortex lattices

AU - Carretero-González, R.

AU - Kevrekidis, P. G.

AU - Kevrekidis, I. G.

AU - Maroudas, D.

AU - Frantzeskakis, D. J.

N1 - Funding Information: This work was supported by NSF-DMS-0204585, NSF-CAREER and the Eppley Foundation for Research (P.G.K.), AFOSR and NSF/ITR (I.G.K.), NSF/ITR grant CTS-0205584 (D.M.), and the SDSU Foundation (R.C.G.).

PY - 2005/6/20

Y1 - 2005/6/20

N2 - We present a framework for studying vortex lattice patterns and their structural transitions, using the Parrinello-Rahman (PR) method for molecular-dynamics (MD) simulations. Assuming an interaction between vortices derived from a Ginzburg-Landau field-theoretic context, we extract the ground-state of a "vortex gas" using the PR-MD technique and find it to be a triangular pattern. Other patterns are also obtained for special initial conditions. Generalizations of the technique, such as the inclusion of external potentials or excitation of quadrupolar modes, are also commented upon.

AB - We present a framework for studying vortex lattice patterns and their structural transitions, using the Parrinello-Rahman (PR) method for molecular-dynamics (MD) simulations. Assuming an interaction between vortices derived from a Ginzburg-Landau field-theoretic context, we extract the ground-state of a "vortex gas" using the PR-MD technique and find it to be a triangular pattern. Other patterns are also obtained for special initial conditions. Generalizations of the technique, such as the inclusion of external potentials or excitation of quadrupolar modes, are also commented upon.

KW - Bose-Einstein condensation

KW - Molecular dynamics

KW - Parrinello-Rahman

KW - Vortex lattices

KW - Vortices

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U2 - 10.1016/j.physleta.2005.04.046

DO - 10.1016/j.physleta.2005.04.046

M3 - Article

AN - SCOPUS:20444413055

SN - 0375-9601

VL - 341

SP - 128

EP - 134

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1-4

ER -

A Parrinello-Rahman approach to vortex lattices

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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