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Critical exponents in Monte Carlo simulations

  1. Aug 2, 2013 #1
    In Monte Carlo simulation of classical spin systems I have a trouble to determine critical exponent ##\alpha##.
    ##M \propto L^{-\frac{\beta}{\nu}} ##
    ## \chi \propto L^{\frac{\gamma}{\nu}} ##
    ## C_V \propto L^{\frac{\alpha}{\nu}} ##
    Is this correct? From that slope of the curve ##\ln Cv## as a function of ##\ln L## determines ##\frac{\alpha}{\nu}##. There is relation ##2-\alpha=d\nu ##, where ##d## is dimension of the lattice. What is a problem with determining ##\alpha##? I didn't get exponent ##\alpha## from the table for ##2d## and ##3d## Ising model.
     
    Last edited: Aug 2, 2013
  2. jcsd
  3. Aug 17, 2013 #2
    Maybe there is some different way for calculating critical exponents in simulation. If you know that another way please tell me. Tnx.
     
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