caa a22 4500 445391421 CHVBK 20180317143047.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10955-011-0286-8 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0286-8 Mixing Times for the Mean-Field Blume-Capel Model via Aggregate Path Coupling [Elektronische Daten] [Yevgeniy Kovchegov, Peter Otto, Mathew Titus] We investigate the relationship between the mixing times of the Glauber dynamics of a statistical mechanical system with its thermodynamic equilibrium structure. For this we consider the mean-field Blume-Capel model, one of the simplest statistical mechanical models that exhibits the following intricate phase transition structure: within a two-dimensional parameter space there exists a curve at which the model undergoes a second-order, continuous phase transition, a curve where the model undergoes a first-order, discontinuous phase transition, and a tricritical point which separates the two curves. We determine the interface between the regions of slow and rapid mixing. In order to completely determine the region of rapid mixing, we employ a novel extension of the path coupling method, successfully proving rapid mixing even in the absence of contraction between neighboring states. Springer Science+Business Media, LLC, 2011 Path coupling nationallicence Mixing times nationallicence Glauber dynamics nationallicence Large deviations nationallicence Blume-Capel model nationallicence Aggregate path coupling nationallicence Kovchegov Yevgeniy Department of Mathematics, Oregon State University, 97331, Corvallis, OR, USA aut Otto Peter Department of Mathematics, Willamette University, 97302, Salem, OR, USA aut Titus Mathew Department of Mathematics, Oregon State University, 97331, Corvallis, OR, USA aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/5(2011-09-01), 1009-1027 0022-4715 144:5<1009 2011 144 10955 https://doi.org/10.1007/s10955-011-0286-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0286-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kovchegov Yevgeniy Department of Mathematics, Oregon State University, 97331, Corvallis, OR, USA aut NATIONALLICENCE 700 1- Otto Peter Department of Mathematics, Willamette University, 97302, Salem, OR, USA aut NATIONALLICENCE 700 1- Titus Mathew Department of Mathematics, Oregon State University, 97331, Corvallis, OR, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/5(2011-09-01), 1009-1027 0022-4715 144:5<1009 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer