Douglas J Ashton et al J. Stat. Mech. (2005) P12010 doi:10.1088/1742-5468/2005/12/P12010
Douglas J Ashton, Lester O Hedges and Juan P Garrahan1
Show affiliationsWe show how to apply the absorbing Markov chain Monte Carlo algorithm of Novotny to simulate kinetically constrained models of glasses. We consider in detail one-spin facilitated models, such as the East model and its generalizations to arbitrary dimensions. We investigate how to maximize the efficiency of the algorithms, and show that simulation times can be improved on standard continuous time Monte Carlo by several orders of magnitude. We illustrate the method with equilibrium and aging results. These include a study of relaxation times in the East model for dimensions d = 1 to 13, which provides further evidence that the hierarchical relaxation in this model is present in all dimensions. We discuss how the method can be applied to other kinetically constrained models.
slow dynamics and ageing (theory)
E-print Number: cond-mat/0510356
Cited: by |
Refers: to
75.10.Hk Classical spin models
81.40.Cd Solid solution hardening, precipitation hardening, and dispersion hardening; aging
61.43.Bn Structural modeling: serial-addition models, computer simulation
82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)
82D30 Random media, disordered materials (including liquid crystals and spin glasses)
Issue 12 (December 2005)
Received 25 October 2005, accepted for publication 1 December 2005
Published 19 December 2005
Douglas J Ashton et al J. Stat. Mech. (2005) P12010
Lester O Hedges and Juan P Garrahan 2008 J. Phys. A: Math. Theor. 41 324006
Christiana Chang et al 2009 Smart Mater. Struct. 18 127001
Guillaume Bal and Kui Ren 2009 Inverse Problems 25 055006
R Saravanan and M Prema Rani 2007 J. Phys.: Condens. Matter 19 266221
J Hass et al 2008 J. Phys.: Condens. Matter 20 323202
M England and J C Eilbeck 2009 J. Phys. A: Math. Theor. 42 095210
Carlo M. Carloni Calame et al JHEP12(2006)016
Jeffrey Van Duyne et al. 2004 The Astronomical Journal 127 1959
Ryan Michael and Amy L Stuart 2009 Environ. Res. Lett. 4 015001