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Dynamics of a Local Perturbation in the XY Model. I—Approach to Equilibrium
Author(s) -
Abraham D. B.,
Barouch E.,
Gallavotti G.,
MartinLöf A.
Publication year - 1971
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1971502121
Subject(s) - perturbation (astronomy) , magnetic field , physics , magnetization , statistical physics , classical mechanics , mathematics , mathematical physics , quantum mechanics
The magnetisation and spin correlation functions of the X–Y model are analysed exactly when the system is subjected to a local perturbation of the magnetic field in the z ‐direction. When such a perturbation is removed, these quantities approach their equilibrium values asymptotically as (time) −1 .