In Monte Carlo simulation of classical spin systems I have a trouble to determine critical exponent ##\alpha##.(adsbygoogle = window.adsbygoogle || []).push({});

##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.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Critical exponents in Monte Carlo simulations

Loading...

Similar Threads - Critical exponents Monte | Date |
---|---|

A Critical exponents - experimental values | Oct 21, 2016 |

Negative Critical Correlation Length Exponent (Nu) | Nov 30, 2015 |

Critical Exponents | May 9, 2014 |

Critical point exponents inequalities - The Rushbrooke inequality | May 1, 2012 |

Critical point exponents inequalities - The Coopersmith inequolity | May 1, 2012 |

**Physics Forums - The Fusion of Science and Community**