Extremal statistics in the energetics of domain walls

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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.