- #1
LagrangeEuler
- 711
- 22
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.
##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.
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