SP Seminar 16.02.2016 @SISSA: Werner Krauth, ENS, Paris

[Condensed_Matter_Group]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR

Tuesday, 16th February - 11:00 am

SISSA, room 128


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Speaker: Werner Krauth (ENS Paris)

Title: Fast Irreversible Monte Carlo simulations beyond the Metropolis
paradigm: Applications to interacting particles and to spin systems.

Abstract:

I show how the lifting principle and a new pairwise decomposition of the
Metropolis filter allows one to design a class of powerful
rejection-free Markov-chain Monte Carlo algorithms that break detailed
balance yet satisfy detailed balance. These algorithms generalize our
recent hard-sphere event-chain Monte Carlo method. The new approach breaks
with all the three paradigms of common Markov-chain methods: 1/ Moves are
infinitesimal rather than finite; 2/ Detailed balance is broken yet global
balance is satisfied; 3/ Rejections are replaced by liftings, and moves
are persistent.

As an application, I demonstrate considerable speed-up of the
event-chain algorithm for particle systems and for spin models and sketch
extensions to the simulation of quantum systems and the
treatment of long-range systems without cutoffs or Ewald summations.

To illustrate the results that were obtained with these algorithms, I will
discuss our new understanding of two-dimensional melting.

E. P. Bernard, W. Krauth, D. B. Wilson Phys.Rev. E 80 056704 (2009). E. P.
Bernard, W. Krauth Phys. Rev. Lett. 107, 155704 (2011).
M. Michel, S. C. Kapfer, W. Krauth J. Chem. Phys. 140 54116 (2014). S. C.
Kapfer, W. Krauth Phys. Rev. Lett. 114, 035702 (2015).

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Vincenzo

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