Editing Critical exponents

{{stub-general}}
[[Heat capacity |Specific heat]], ''C''

:<math>\left. C\right.=C_0 \epsilon^{-\alpha}</math>

Magnetic order parameter, ''m'',

:<math>\left. m\right. = m_0 \epsilon^\beta</math>

[[Susceptibility]] 

:<math>\left. \chi \right. = \chi_0 \epsilon^{-\gamma}</math>

Correlation length

:<math>\left. \xi \right.= \xi_0 \epsilon^{-\nu}</math>

where <math>\epsilon</math> is the reduced distance from the critical [[temperature]], i.e.

:<math>\epsilon = \left| 1 -\frac{T}{T_c}\right|</math>

Note that this implies a certain symmetry when the critical point is approached from either 'above' or 'below', which is not   necessarily the case. 
Rushbrooke equality

:<math>\alpha + 2\beta + \gamma =2</math>
====Gamma divergence====
When approaching the critical point along the critical isochore (<math>T > T_c</math>) the divergence is of the form

:<math>\left. \right. C_p \sim \kappa_T \sim (T-T_c)^{-\gamma} \sim (p-p_c)^{-\gamma}</math>

where <math>\gamma</math> is 1.0 for the [[Van der Waals equation of state]], and is usually 1.2 to 1.3.

====Epsilon divergence====
When approaching the critical point along the critical isotherm the divergence is of the form

:<math>\left. \right. \kappa_T \sim  (p-p_c)^{-\epsilon}</math>

where <math>\epsilon</math> is 2/3 for the [[Van der Waals equation of state]], and is usually 0.75 to 0.8.
==References==
<references/>
[[category: statistical mechanics]]