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Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 36: Complex Fluids and Colloids V (joint session DY/BP/CPP)

DY 36.7: Vortrag

Mittwoch, 9. März 2016, 11:45–12:00, H47

Critical three-body Casimir interaction — •Hendrik Hobrecht and Alfred Hucht — Fakultät für Physik, Universität Duisburg-Essen and CENIDE, 47048 Duisburg

It was shown by Burkhardt and Eisenriegler that the critical Casimir interaction between two colloids at T=Tc can be calculated exactly by a conformal mapping in arbritary dimension d [1]. For the two-dimensional case d = 2 Bimonte et al. extended this calculation to arbritary shaped objects [2], where the form of the interaction potential between two disks is known exactly. Utilizing those concepts we present a calculation which maps the case of two separated two-dimensional disks onto a limiting case of a three-body system, where two particles are in contact and one is free to move. We compare the results of this calculation to Monte Carlo simulations, using a highly efficient cluster algorithm [3].

[1] T. W. Burkhardt and E. Eisenriegler, Phys. Rev. Lett. 74, 3189 (1995).

[2] G. Bimonte et al., Europhys. Lett. 104, 21001 (2013).

[3] H. Hobrecht and A. Hucht, Phys. Rev. E 92, 042315 (2015)

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