Finite size scaling effects in dynamics

Goldschmidt, Yadin Y.

doi:10.1016/0550-3213(87)90152-0

Finite size scaling effects in dynamics

Yadin Y. Goldschmidt
(
- Pittsburgh U.
)

1987

15 pages

Published in:

Nucl.Phys.B 280 (1987) 340-354,
Nucl.Phys.B 280 (1987) 340-354

Published: Oct 25, 2002
and
Published: 1987

DOI:

10.1016/0550-3213(87)90152-0 (publication)

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AMS MathSciNet

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Abstract: (Elsevier B.V.)

We calculate the linear relaxation time for a finite size system with a cubic geometry and “model A” dynamics both above Tc in a 4 - ϵ expansion and below Tc in a 2 + ϵ expansion, and express the results in a scaling form. The universal scaling functions are obtained to one-loop order. We use the method of the effective hamiltonian for the homogeneous modes. The quantum mechanical hamiltoninian is supersymmetric. The large n limit (infinitely many spin components) is also considered both above and below Tc.

SCALING: FINITE SIZE
STATISTICAL MECHANICS: CRITICAL PHENOMENA
STATISTICAL MECHANICS: ISING
APPROXIMATION: EPSILON EXPANSION
MODEL: SPIN
SPIN: MODEL
EXPANSION 1/N
FIELD THEORETICAL MODEL: SIGMA
NONLINEAR
QUANTUM MECHANICS: EFFECTIVE HAMILTONIANS

References(23)

Figures(0)

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