Stationary configurations of point vortices and other logarithmic objects in two dimensions

A method is given for analytic determination of new stationary configurations of objects with logarithmic pair potentials in two dimensions such as vortices, charges, and screw dislocations. The method is applicable to configurations with arbitrary mixed strengths in the presence of background field...

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Veröffentlicht in:	Phys. Rev. Lett.; (United States) 1987-02, Vol.58 (7), p.670-673
Hauptverfasser:	Campbell, LJ, Kadtke, JB
Format:	Artikel
Sprache:	eng
Schlagworte:	CALCULATION METHODS CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY CONFIGURATION CRYSTAL DEFECTS CRYSTAL STRUCTURE DIFFERENTIAL EQUATIONS DISLOCATIONS ELECTRIC CHARGES EQUATIONS KORTEWEG-DE VRIES EQUATION LINE DEFECTS PARTIAL DIFFERENTIAL EQUATIONS POTENTIALS QUASI PARTICLES 656000 > Condensed Matter Physics SCREW DISLOCATIONS SOLITONS STEADY-STATE CONDITIONS TWO-DIMENSIONAL CALCULATIONS VORTICES
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Beschreibung
Zusammenfassung:	A method is given for analytic determination of new stationary configurations of objects with logarithmic pair potentials in two dimensions such as vortices, charges, and screw dislocations. The method is applicable to configurations with arbitrary mixed strengths in the presence of background fields. New stationary and uniformly translating vortex configurations are presented, some of which can be generated from N-soliton solutions of the Korteweg--de Vries equation.
ISSN:	0031-9007 1079-7114
DOI:	10.1103/PhysRevLett.58.670