Open AccessOrdering Dynamics of a Deeply Quenched Complex Field
Author(s) -
Hiroyasu Toyoki,
Kazuhiro Honda
Publication year - 1987
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.78.237
Subject(s) - physics , scaling , correlation function (quantum field theory) , statistical physics , string (physics) , superfluidity , function (biology) , field (mathematics) , dynamics (music) , order (exchange) , phase (matter) , condensed matter physics , theoretical physics , quantum mechanics , geometry , mathematics , finance , evolutionary biology , acoustics , dielectric , pure mathematics , economics , biology
A statistical theory is presented for the ordering dynamics of a system with a complex order parameter quenched below the critical temperature. On the basis of a picture that string·like defects are formed in the early stage of the ordering process, the disappearing process of the defects is studied. We obtain the time evolution of the defect density and its two-point correlation function, which exhibits a scaling behavior, if the strings are initially convoluted and percolated. We also calculate the correlation function of the gradient of phase of the order parameter corresponding to the superfiuid velocity in 'He. The characteristic length in this system is found to behave as t1/ •
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