Problem Set 2: Difference between revisions

Revision as of 23:32, 19 January 2009

Critical behavior at the liquid-gas critical point

1) Use the Van der Waals equation to calculate the isothermal compressibility $\kappa _{T}=\left(\partial V/\partial P\right)_{T}$ , at $T>T_{c}$ .

2) Determine its behavior near the critical point, and obtain the corresponding critical exponent $\gamma$ , defined by $\kappa _{T}\sim |T-T_{c}|^{\gamma }$ .

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-Use the ''Van der Waals equation'' to calculate the critical behavior of:
+) Use the ''Van der Waals equation'' to calculate the isothermal compressibility <math>\kappa_T = \left( \partial V / \partial P \right)_T</math>, at <math>T > T_c</math>.
-) The isothermal compressibility <math>\kappa_T = \left( \partial V / \partial P \right)_T</math>, at <math>T > T_c</math>;
-) The reduced density jump <math>\delta V = | V - V_c |/V_c </math> (across the first order transition line), at <math>T < T_c</math>.
-Determine the corresponding critical exponents.
+) Determine its behavior near the critical point, and obtain the corresponding critical exponent <math>\gamma</math>, defined by <math>\kappa_T \sim |T - T_c |^{\gamma}</math>.

Problem Set 2: Difference between revisions

Revision as of 23:32, 19 January 2009

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