Editing Verallgemeinerte kanonische Verteilung
Jump to navigation
Jump to search
The edit can be undone. Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.
Latest revision | Your text | ||
Line 78: | Line 78: | ||
<math>I(\rho )=\int_{{}}^{{}}{{{d}^{d}}x\rho (x)\ln \rho (x)}=!=Minimum</math> | |||
Line 84: | Line 84: | ||
<math>\begin{align} | |||
& \int_{{}}^{{}}{{{d}^{d}}x\rho (x)}=1 \\ | & \int_{{}}^{{}}{{{d}^{d}}x\rho (x)}=1 \\ | ||
& \int_{{}}^{{}}{{{d}^{d}}x\rho (x)}{{M}^{n}}(x)=\left\langle {{M}^{n}} \right\rangle \\ | & \int_{{}}^{{}}{{{d}^{d}}x\rho (x)}{{M}^{n}}(x)=\left\langle {{M}^{n}} \right\rangle \\ | ||
Line 92: | Line 92: | ||
Durchführung einer Funktionalvariation: | Durchführung einer Funktionalvariation: | ||
<math>\delta \rho (x)</math> | |||
: | |||
<math>\begin{align} | |||
& \delta I(\rho )=\int_{{}}^{{}}{{{d}^{d}}x\left( \ln \rho (x)+1 \right)\delta \rho (x)}=0 \\ | & \delta I(\rho )=\int_{{}}^{{}}{{{d}^{d}}x\left( \ln \rho (x)+1 \right)\delta \rho (x)}=0 \\ | ||
& \Rightarrow \int_{{}}^{{}}{{{d}^{d}}x\delta \rho (x)}=0 \\ | & \Rightarrow \int_{{}}^{{}}{{{d}^{d}}x\delta \rho (x)}=0 \\ | ||
Line 106: | Line 106: | ||
'''Vergleiche: A. Katz, Principles of Statistial Mechanics''' | '''Vergleiche: A. Katz, Principles of Statistial Mechanics''' | ||
{{AnMS|Siehe auch {{Quelle|ST7|5.4.13|Kap 5.4.3 S46}}}} | |||
{{AnMS|Siehe auch {{Quelle| | |||
==Eigenschaften der verallgemeinerten kanonischen Verteilung== | ==Eigenschaften der verallgemeinerten kanonischen Verteilung== |