Kink dynamics in one-dimensional nonlinear systems

Kyozi Kawasaki and Takao Ohta

Physica A: Statistical Mechanics and its Applications, 1982, vol. 116, issue 3, 573-593

Abstract: A certain class of nonlinear evolution equations of one space dimension which permits kink type solutions and includes one-dimensional time-dependent Ginzburg-Landau (TDGL) equations and certain nonlinear wave equations is studied in some strong coupling approximation where the problem can be reduced to the study of kink dynamics. A detailed study is presented for the case of TDGL equation with possible applications to the late stage kinetics of order-disorer phase transitions and spinodal decompositions. A special case of kink dynamics of nonlinear wave equations is found to reduce to the Toda lattice dynamics. A new conservation law for dissipative systems is found which corresponds to the momentum conservation law for wave equations.

Date: 1982
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:116:y:1982:i:3:p:573-593

DOI: 10.1016/0378-4371(82)90178-9

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