Thermodynamic Casimir effect in films: the exchange cluster algorithm

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Martin Hasenbusch

Abstract

We study the thermodynamic Casimir force for films with various types of boundary conditions and the bulk universality class of the three-dimensional Ising model. To this end, we perform Monte Carlo simulations of the improved Blume-Capel model on the simple cubic lattice. In particular, we employ the exchange or geometric cluster cluster algorithm [Heringa and Blöte, Phys. Rev. E 57, 4976 (1998)]. In a previous work, we demonstrated that this algorithm allows us to compute the thermodynamic Casimir force for the plate-sphere geometry efficiently. It turns out that also for the film geometry a substantial reduction of the statistical error can achieved. Concerning physics, we focus on (O,O) boundary conditions, where O denotes the ordinary surface transition. These are implemented by free boundary conditions on both sides of the film. Films with such boundary conditions undergo a phase transition in the universality class of the two-dimensional Ising model. We determine the inverse transition temperature for a large range of thicknesses L(0) of the film and study the scaling of this temperature with L(0). In the neighborhood of the transition, the thermodynamic Casimir force is affected by finite size effects, where finite size...Continue Reading

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Citations

Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Martin Hasenbusch
Mar 30, 2016·Journal of Physics. Condensed Matter : an Institute of Physics Journal·David Lopes Cardozo, Peter C W Holdsworth
Jan 20, 2018·Physical Review. E·Martin Hasenbusch
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Francesco Parisen Toldin

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