Dresden 2017 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 47: Complex Fluids and Soft Matter I (joint session DY/CPP)

DY 47.4: Vortrag

Donnerstag, 23. März 2017, 15:45–16:00, ZEU 160

Two-step melting in Two Dimensions with Long-ranged forces — •Sebastian Kapfer — Theoretische Physik 1, FAU Erlangen, Germany

Recent progress in global-balance Monte Carlo algorithms has allowed to confirm the essentials of the Halperin-Nelson-Young theory (KTHNY) for the 2D Melting problem with short-range interactions [1]. A key challenge in these simulations are large correlation lengths which could be overcome by a new class of Monte Carlo algorithms [2].

In this talk, I will show that the new Monte Carlo paradigm can be extended to include long-range forces (including periodic images) rigorously, without any truncation effects. The resulting algorithm improves on the scaling of Ewald summation [3].

The new algorithm allows to check the scaling predictions of KTHNY theory in the long-range limit, and complete the phase diagram of inverted power-law potentials, relevant for charged colloids, plasma crystals, and other systems.

[1] S. C. Kapfer & W. Krauth, Phys. Rev. Lett. 114, 035702 (2015). [2] M. Michel et al., J. Chem. Phys. 140, 054116 (2014). [3] S. C. Kapfer & W. Krauth, Phys. Rev. E 94 (R), 031302 (2016).