Slow Forcing in the Projective Dynamics Method.pdfVIP

SLOW FORCING IN THE PROJECTIVE 8 DYNAMICS METHOD 9 9 1 v a b a,c o M. A. Novotny M. Kolesik and P. A. Rikvold N a Supercomputer Computations Research Institute (SCRI), Florida State 3 University, Tallahassee, FL 32306-4130, U.S.A. ] bInstitute of Physics, Slovak Academy of Sciences, D´ubravsk´a cesta 9, 84228 i c s Bratislava, Slovak Republic - l c Center for Materials Research and Technology (MARTECH) and Department of r t Physics, Florida State University, Tallahassee, FL 32306-4350, U.S.A. m . t a m Abstract - d n We provide a proof that when there is no forcing the recently introduced projective o dynamics Monte Carlo algorithm gives the exact lifetime of the metastable state, c [ within statistical uncertainties. We also show numerical evidence illustrating that 1 for slow forcing the approach to the zero-forcing limit is rather rapid. The model v studied numerically is the 3-dimensional 3-state Potts ferromagnet. 9 3 0 Key words: Monte Carlo, Projective Dynamics, Metastability 1 1 8 9 / t a m - d n o c : v i X r a Preprint submitted to Elsevier Preprint 7 February 2008 One of the most challenging hurdles to be overcome in computational mate- rials science is finding a direct way to bridge the disparate time and length scales required in simulations of models of materials. The length scales go from the atomic to the size of the actual material sample. The shortest time scale in many instances can be asso