A discrete interface growth model for quenched impurities in d=2+1 dimensions
- Authors
- Song, Hyun Suk; Kim, Jin Min
- Issue Date
- Sep-2011
- Publisher
- IOP PUBLISHING LTD
- Keywords
- interfaces in random media (theory); kinetic roughening (theory); self-affine roughness (theory)
- Citation
- JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
- Journal Title
- JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/13594
- DOI
- 10.1088/1742-5468/2011/09/P09021
- ISSN
- 1742-5468
- Abstract
- We study a depinning transition of a discrete interface growth model for quenched impurities with an external driving force F in d = 2 + 1 dimensions, and determine various critical exponents related to the depinning transition. At the critical force F(c), the growth velocity v of the average interface height follows a power-law behavior upsilon(t) similar to t(-delta) with delta approximate to 0.460 and the interface width W shows a scaling behavior W(2)(t, L) similar to L(2 alpha) f(t/L(z)) with alpha approximate to 1.02 and z approximate to 1.77 where L is the system size. The steady-state moving velocity vs of the average interface height shows upsilon(s) similar to (F - F(c))(theta) with theta approximate to 0.575 for F > F(c). The lateral correlation length follows a power law xi(r) similar to vertical bar F - F(c)vertical bar(-nu r) with nu(r) approximate to 0.71(3) and the correlation time t similar to vertical bar F - F(c)vertical bar(-nu t) with nu(t) approximate to 1.25(5). These exponents are very similar to those of directed percolation universality class.
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Collections - College of Natural Sciences > Department of Physics > 1. Journal Articles
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