Extremal statistics in the energetics of domain walls
Loading...
Journal Title
Journal ISSN
Volume Title
School of Science |
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Unless otherwise stated, all rights belong to the author. You may download, display and print this publication for Your own personal use. Commercial use is prohibited.
Date
2001
Major/Subject
Mcode
Degree programme
Language
en
Pages
066110/1-4
Series
Physical Review E, Volume 63, Issue 6
Abstract
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 ΔE1∼Lθf(Nz), where f(y)∼[lny]−1/2, θ is the energy fluctuation exponent, L is the length scale, and Nz 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.Description
Keywords
Interface and surface thermodynamics, random magnets, interface structure and roughness
Other note
Citation
Seppälä, E. T. & Alava, Mikko J. & Duxbury, P. M. 2001. Extremal statistics in the energetics of domain walls. Physical Review E. Volume 63, Issue 6. 066110/1-4. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.63.066110.