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Cited by 302

The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.

Schrödinger invariance and strongly anisotropic critical systems

Open access
Henkel, Malte·1994·Journal of Statistical Physics
DOI 10.1007/bf02186756
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Abstract

The extension of strongly anisotropic or dynamical scaling to local scale invariance is investigated. For the special case of an anisotropy or dynamical exponent θ=z=2, the group of local scale transformation considered is the Schrödinger group, which can be obtained as the nonrelativistic limit of the conformal group. The requirement of Schrödinger invariance determines the two-point function in the bulk and reduces the three-point function to a scaling form of a single variable. Scaling forms are also derived for the two-point function close to a free surface which can be either spacelike or timelike. These results are reproduced in several exactly solvable statistical systems, namely the kinetic Ising model with Glauber dynamics, lattice diffusion, Lifshitz points in the spherical model, and critical dynamics of the spherical model with a nonconserved order parameter. For generic values of θ, evidence from higher-order Lifshitz points in the spherical model and from directed percolation suggests a simple scaling form of the two-point function.

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Metadata

Authors
Henkel, M.
Venue
Journal of Statistical Physics
Publisher
Springer Science and Business Media LLC
Published
1994-06
Volume
75
Issue
5-6
Pages
1023-1061
ISSN
  • 0022-4715 (ISSN-L)
  • 1572-9613
DOI
10.1007/bf02186756
OpenAlex
W1969397250
Cited by
302
References
29
FWCI
1.44
Type
journal article
Language
en
Open access
green

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