Carl McBride at 16:43, 7 June 2007

2007-06-07T16:43:34Z

← Older revision		Revision as of 18:43, 7 June 2007
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	The '''internal energy''' is given by		The '''internal energy''' of a system is given by the sum of the kinetic energy and the
			potential energy. This excludes the external energy of the system, for example motion of the center of mass of the system, or the presence of an external field.

			The internal energy in [[classical thermodynamics]] is given by

			:<math>\left. U \right.=TS-pV</math>

			and in [[statistical mechanics]] by

	:<math>U=-T^2 \left. \frac{\partial (A/T)}{\partial T} \right\vert_{N,V} = k_B T^{2} \left. \frac{\partial \log Z(T)}{\partial T} \right\vert_{N,V}</math>		:<math>U=-T^2 \left. \frac{\partial (A/T)}{\partial T} \right\vert_{N,V} = k_B T^{2} \left. \frac{\partial \log Z(T)}{\partial T} \right\vert_{N,V}</math>

Carl McBride: New page: The '''internal energy''' is given by : $U=-T^2 \left. \frac{\partial (A/T)}{\partial T} \right\vert_{N,V} = k_B T^{2} \left. \frac{\partial \log Z(T)}{\partial T} \right\vert_{N,V}...$

2007-06-07T16:27:32Z

New page: The '''internal energy''' is given by :<math>U=-T^2 \left. \frac{\partial (A/T)}{\partial T} \right\vert_{N,V} = k_B T^{2} \left. \frac{\partial \log Z(T)}{\partial T} \right\vert_{N,V}...

New page

The '''internal energy''' is given by

:<math>U=-T^2 \left. \frac{\partial (A/T)}{\partial T} \right\vert_{N,V} = k_B T^{2} \left. \frac{\partial \log Z(T)}{\partial T} \right\vert_{N,V}</math>

where <math>A</math> is the [[Helmholtz energy function]] and <math>Z</math> is the [[partition function]].
[[category: statistical mechanics]]

Internal energy - Revision history

Carl McBride at 16:43, 7 June 2007

Carl McBride: New page: The '''internal energy''' is given by :U=-T^2 \left. \frac{\partial (A/T)}{\partial T} \right\vert_{N,V} = k_B T^{2} \left. \frac{\partial \log Z(T)}{\partial T} \right\vert_{N,V}...

Carl McBride: New page: The '''internal energy''' is given by : $U=-T^2 \left. \frac{\partial (A/T)}{\partial T} \right\vert_{N,V} = k_B T^{2} \left. \frac{\partial \log Z(T)}{\partial T} \right\vert_{N,V}...$