Abertay Research Collections >
School of Science, Engineering & Technology >
Science Engineering & Technology Collection >
Please use this identifier to cite or link to this item:
|Title: ||Exact spin–spin correlation function for the zero-temperature random-field Ising model|
|Authors: ||Handford, P.|
Perez-Reche, Francisco J.
Taraskin, S. N.
|Affiliation: ||University of Abertay Dundee. School of Contemporary Sciences|
|Keywords: ||Exact results|
Barkhausen noise (theory)
Correlation functions (theory)
Critical exponents and amplitudes (theory)
|Issue Date: ||Jan-2012|
|Publisher: ||Institute of Physics|
|Type: ||Journal Article|
|Rights: ||This is an author-created, un-copyedited version of an article accepted for publication in Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher-authenticated version is available online at http://dx.doi.org/10.1088/1742-5468/2012/01/P01001|
|Citation: ||Handford, P., Perez-Reche, F.-J. and Taraskin, S.N. 2012. Exact spin–spin correlation function for the zero-temperature random-field Ising model. Journal of Statistical Mechanics: Theory and Experiment. 2012: P01001. Available from http://dx.doi.org/10.1088/1742-5468/2012/01/P01001|
|Abstract: ||An exact expression for the spin–spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin–spin correlations and separated from the intrinsic topological length scale of the Bethe lattice is shown to diverge as a power law at the critical point. The critical exponents governing the behaviour of the correlation length are consistent with the mean-field values found for a hypercubic lattice with dimension greater than the upper critical dimension.|
|Appears in Collections:||Science Engineering & Technology Collection|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.