Statistical dynamics of interacting kinks I

Kyozi Kawasaki and Tatsuzo Nagai

Physica A: Statistical Mechanics and its Applications, 1983, vol. 121, issue 1, 175-206

Abstract: A statistical-mechanical theory is developed for a gas of kinks (or one-dimensional domain walls) interacting with exponential attractive forces, which models long-time behaviors of the bistable TDGL field equation. Employing a factorization approximation in the BBGKY-like hierarchical equations for the size distribution functions of consecutive domains, we obtain a kinetic equation for the size distribution function of a single domain. The scaling solution of thr latter yields the logarithmic growth law of domain sizes with the coefficient related to the width of the size distribution. Scattering structure function is also obtained. The results are compared with those of molecular dynamics and experiments on layered magnets.

Date: 1983
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437183902509
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:121:y:1983:i:1:p:175-206

DOI: 10.1016/0378-4371(83)90250-9

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().