# Critical exponents in Monte Carlo simulations

1. Aug 2, 2013

### LagrangeEuler

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. Aug 17, 2013

### LagrangeEuler

Maybe there is some different way for calculating critical exponents in simulation. If you know that another way please tell me. Tnx.