Problem Set 2: Difference between revisions

Revision as of 23:06, 19 January 2009

Critical behavior at the liquid-gas critical point

Use the Van der Waals equation to calculate the critical behavior of:

1) the specific heat $C_{V}$ ,

2) the isothermal compressibility $\kappa _{T}$ , and

3) the reduced density jump $v=|V-V_{c}|/V_{c}$ (across the first order transition line).

Determine the corresponding critical exponents.

@@ Line 1: / Line 1: @@
 '''Critical behavior at the liquid-gas critical point'''
 Use the ''Van der Waals equation'' to calculate the critical behavior of:
 ) the specific heat <math>C_V</math>,
 ) the isothermal compressibility <math>\kappa_T</math>, and
 ) the reduced density jump <math>v = | V - V_c |/V_c </math> (across the first order transition line).
-Determine the corresponding critical exponents, defined by <math>v ~ |T - T_c |</math>
+Determine the corresponding critical exponents.