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Phys. Rev. E 80, 031404 (2009) [13 pages]

Ground state structures in ferrofluid monolayers

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Taisia A. Prokopieva,¹ Victor A. Danilov,¹ Sofia S. Kantorovich,^1,2 and Christian Holm²
¹Urals State University 51 Lenin Ave, Ekaterinburg 620083, Russia
²Institut fur Computerphysik Universitat Stuttgart Pfaffenwaldring 27, 70569 Stuttgart, Germany

Received 21 May 2009; published 29 September 2009

Acombination of analytical calculations and Monte Carlo simulations is usedto find the ground state structures in monodisperse ferrofluid monolayers.Taking into account the magnetic dipole-dipole interaction between all particlesin the system we observe different topological structures that arelikely to exist at low temperatures. The most energetically favoredstructures we find are rings, embedded rings, and rings sideby side, and we are able to derive analytical expressionsfor the total energy of these structures. A detailed analysisof embedded rings and rings side by side shows thatthe interring interactions are negligible. We furthermore find that asingle ideal ring is the ground state structure for aferrofluid monolayer. We compared our theoretical predictions to the resultsof simulated annealing data and found them to be inexcellent agreement.

©2009 The American Physical Society

URL:	http://link.aps.org/doi/10.1103/PhysRevE.80.031404
DOI:	10.1103/PhysRevE.80.031404
PACS:	82.70.-y; 61.20.Gy; 61.20.Ja; 75.50.Mm 82.70.-y Disperse systems; complex fluids 61.20.Gy Theory and models of liquid structure 61.20.Ja Computer simulation of liquid structure 75.50.Mm Magnetic liquids YEAR: 2009
KEYWORDS:	ground states, liquid structure, magnetic fluids, magnetohydrodynamics, monolayers, Monte Carlo methods, simulated annealing

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