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25 April 2024
 
  » arxiv » cond-mat/0409012

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Is small-world network disordered?
Soumen Roy ; Somendra M. Bhattacharjee ;
Date 1 Sep 2004
Subject Disordered Systems and Neural Networks; Statistical Mechanics | cond-mat.dis-nn cond-mat.stat-mech
AbstractWe study by extensive Monte Carlo simulations, the sample-to-sample fluctuation of various physical quantities in the critical region on ensembles of quenched Ising model on a small-world network. The system is found to be strongly self-averaging in the critical region in spite of relevant randomness. This is associated with the sharpening of the probability distribution of the inverse pseudo-critical temperatures. Single realisation finite-size data of various physical quantities show as good a data collapse(finite-size scaling) as the average.
Source arXiv, cond-mat/0409012
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