The Resource Absorbing state transitions in clean and disordered lattice models, by Man Young Lee

Absorbing state transitions in clean and disordered lattice models, by Man Young Lee

Label
Absorbing state transitions in clean and disordered lattice models
Title
Absorbing state transitions in clean and disordered lattice models
Statement of responsibility
by Man Young Lee
Creator
Subject
Language
eng
Summary
"Nonequilibrium systems can undergo continuous phase transitions between different steady states. These transitions are characterized by collective fluctuations over large distances and long times similar to the behavior of equilibrium critical points. They also can be divided into different universality classes according to their critical behavior. This dissertation considers two types of nonequilibrium transitions. First study concerns absorbing state transitions on a randomly diluted lattice. Second study deals with nonequilibrium models with several absorbing states. We investigate two specific nonequilibrium lattice models, i.e., the contact process and the generalized contact process by means of both theoretical and computational approaches. In section 1, we introduce the basic arguments and theories to support our investigations for both problems. In sections 2 and 3, we investigate nonequilibrium phase transitions of the contact process and the generalized contact process on a percolating lattice, focusing on the transition across the lattice percolation threshold. In this study, we show that the interplay between geometric criticality due to percolation and dynamical fluctuations of the nonequilibrium system leads to a new universality class. The critical point is characterized by ultra-slow activated dynamical scaling and accompanied by strong Griffiths singularities. We support our theory by extensive Monte-Carlo simulations. In sections 4 and 5, we investigate the generalized contact process on one and two-dimensional lattices. We treat the creation rate of active sites between inactive domains as an independent parameter. It turns out that this model has an unusual phase diagram with two different nonequilibrium phase transitions. The special point separating them shares some characteristics with a multicritical point. For one dimension, a small boundary rate takes the system from the directed percolation universality class to the parity-conserved class. For two dimensions, the critical behavior on the generic transition line is of mean-field type with logarithmic corrections suggesting that the two-dimensional generalized contact process is in the generalized voter universality class"--Abstract, leaf iv
Related
Cataloging source
UMR
http://library.link/vocab/creatorDate
1972-
http://library.link/vocab/creatorName
Lee, Man Young
Degree
Ph. D.
Dissertation year
2011.
Granting institution
Missouri University of Science and Technology
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
theses
http://library.link/vocab/subjectName
  • Phase transformations (Statistical physics)
  • Nonequilibrium statistical mechanics
  • Percolation
Label
Absorbing state transitions in clean and disordered lattice models, by Man Young Lee
Instantiates
Publication
Note
Vita
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
775016032
Dimensions
28 cm
Extent
xiv, 107 leaves
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)775016032
Label
Absorbing state transitions in clean and disordered lattice models, by Man Young Lee
Publication
Note
Vita
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
775016032
Dimensions
28 cm
Extent
xiv, 107 leaves
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)775016032

Library Locations

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