Extremal statistics in the energetics of domain walls
Journal Article
·
· Physical Review E
We study at T=0 the minimum energy of a domain wall and its gap to the first excited state, concentrating on two-dimensional random-bond Ising magnets. The average gap scales as {Delta}E{sub 1}{similar_to}L{sup {theta}}f(N{sub z}), where f(y){similar_to}[lny]{sup {minus}1/2}, {theta} is the energy fluctuation exponent, L is the length scale, and N{sub z} is the number of energy valleys. The logarithmic scaling is due to extremal statistics, which is illustrated by mapping the problem into the Kardar-Parisi-Zhang roughening process. It follows that the susceptibility of domain walls also has a logarithmic dependence on the system size.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40203290
- Journal Information:
- Physical Review E, Journal Name: Physical Review E Journal Issue: 6 Vol. 63; ISSN 1063-651X
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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