Title: Nonequilibrium statistical mechanics of the spin-1/2 van der Waals model .2. autocorrelation function of a single spin and long time tails
Authors: Dekeyser, Raf ×
Lee, Mh #
Issue Date: Apr-1991
Publisher: Published for the American Physical Society by the American Institute of Physics
Series Title: Physical Review B, Condensed Matter vol:43 issue:10 pages:8131-8147
Abstract: The autocorrelation function of a single spin [s(t).s(O)] has been obtained from the time-evolution solutions given in the preceding paper by carrying out the ensemble averages explicitly. Slow decay is found in the transverse component and only at high temperatures (T > T(c)). The exponent kappa, where [s(x)(t)s(x)(O)] approximately t-kappa, as t --> infinity, is found to depend discontinuously on the spin-spin interaction strength R = J(z)/J: kappa = 2 if R = O, kappa = 3 if 0 < R less-than-or-equal-to 2 (R not-equal 1), kappa = infinity if R = 1, and kappa = infinity if R > 2. Slow decay in this model is attributed to nondimensional effects, e.g., cooperatively. Physical and mathematical mechanisms of the slow decay are described.
ISSN: 2469-9950
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
× corresponding author
# (joint) last author

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