Monte-Carlo simulations of disordered non-equilibrium phase transitions
"This thesis focuses on the effects of both correlated and non-correlated disorder on non-equilibrium phase transitions, specifically those found in the d-dimensional contact process. These effects are studied by means of extensive Monte-Carlo simulations. The scaling behavior of various parameters is evaluated for both cases, and the results are compared with theory. For the correlated disorder case, the stationary density in the vicinity of the transition is also examined, and found to be smeared. The behavior in both cases can be understood as the results of rare regions where the system is locally free of disorder. For point-like defects, i.e., uncorrelated disorder, the rare regions are of finite size and cannot undergo a true phase transition. Instead, they fluctuate slowly which gives rise to Griffiths effects. In contrast, if the rare regions are infinite in at least one dimension, a stronger effect occurs: each rare region can independently undergo the phase transition and develop a nonzero steady state density. This leads to a smearing of the global transition"--Abstract, leaf iv.
M.S. in Physics
University of Missouri--Rolla
Journal article titles appearing in thesis/dissertation
- Monte-Carlo simulations of the smeared phase transition in a contact process with extended defects
ix, 50 leaves
© 2005 Mark Dickison, All rights reserved.
Thesis - Citation
Library of Congress Subject Headings
Phase transformations (Statistical physics)
Monte Carlo method
Print OCLC #
Link to Catalog Record
Full-text not available: Request this publication directly from Missouri S&T Library or contact your local library.http://laurel.lso.missouri.edu/record=b5596087~S5
Dickison, Mark, "Monte-Carlo simulations of disordered non-equilibrium phase transitions" (2005). Masters Theses. 5819.