replica fourier transform: properties and applications

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ID: 200668
2015
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Abstract
The Replica Fourier Transform is the generalization of the discrete Fourier Transform to quantities defined on an ultrametric tree. It finds use in conjunction of the replica method used to study thermodynamics properties of disordered systems such as spin glasses. Its definition is presented in a systematic and simple form and its use illustrated with some representative examples. In particular we give a detailed discussion of the diagonalization in the Replica Fourier Space of the Hessian matrix of the Gaussian fluctuations about the mean field saddle point of spin glass theory. The general results are finally discussed for a generic spherical spin glass model, where the Hessian can be computed analytically.
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crisanti2015nuclearreplica Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;A. Crisanti;C. De Dominicis
Journal biology and fertility of soils
Year 2015
DOI
DOI not found
URL
http://www.sciencedirect.com/science/article/pii/S055032131400371X
Keywords
radioactivity atomic energy nuclear and particle physics

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