Quantum redactiones paginae "Physica statistica" differant

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Quamobrem variae energiae, quae minimum iuxta varias condiciones impositas capiunt, per [[transformatio Legandreana|transformationes Legandreanas]] definiuntur:
*Enthalpia: <math>H(S,P,N)=E(S,V,N)+PV</math> ubi <math>P</math> loco <math>V</math> fixatur;
*Energia libera cannonicacanonica: <math>F(T,V,N)=E(S,V,N)-TS</math> ubi <math>T</math> loco <math>S</math> fixatur;
*Energia libera Gibbs: <math>G(T,P,N)=E(S,V,N)-TS+PV</math> ubi <math>T,P</math> loco <math>S,V</math> fixantur;
*Energia libera macrocannonicamacrocanonica <math>\Psi (T,V,\mu)=E(S,V,N)-TS-\mu N</math> ubi <math>T, \mu </math> loco <math>S,N</math> fixantur.
 
==Collectiones==
 
Physici praecipue tres collectiones statisticas definiunt quibus proprietates systematum thermodynamicorumex proprietatibus molecularum sive atomorum calculari possunt:
*Collectio microcannonicamicrocanonica ubi <math>E, V \text{ et } N</math> fixantur
*Collectio cannonicacanonica ubi <math>T, V \text{ et } N</math> fixantur
*Collectio macrocannonicamacrocanonica ubi <math> T, V \text{ et } \mu</math> fixantur
 
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| colspan="3" bgcolor="#C8D8FF" style="border-left:1px solid; border-right:1px solid; border-top:1px solid;" | '''Collectiones :'''
|-----
| bgcolor="#C8D8FF" style="border-left:1px solid; border-top:1px solid;" | [[Collectio microcanonica|MicrocannonicaMicrocnnonica]]
| bgcolor="#C8D8FF" style="border-left:1px solid; border-top:1px solid;" | [[Collectio canonica|CannonicaCanonica]]
| bgcolor="#C8D8FF" style="border-left:1px solid; border-right:1px solid; border-top:1px solid;" | [[Collectio macrocannonicamacrocanonica|MacrocannonicaMacrocanonica]]
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| style="border-left:1px solid; border-top:1px solid; background:#CCFFCC;" | Variabiles fixae
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| style="border-left:1px solid; border-top:1px solid; background:#CCFFCC;" | Functio microscopica
| style="border-left:1px solid; border-top:1px solid;" | <small> Numerus [[microstatus]] </small><br /><br /><math> \;W </math>
| style="border-left:1px solid; border-top:1px solid;" | <small> Functio partitionis cannonicacanonica<br /><br /><math>Z = \sum_k e^{-\beta E_k}</math>
| style="border-left:1px solid; border-top:1px solid; border-right:1px solid;" | <small> Functio partitionis macrocannonicamacrocanonica<br /><br /><math> z \ = \ \sum_k e^{ -\beta (E_k - \mu N_k ) }
</math>
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|}</center><noinclude>
 
Collectio microcannonicamicrocanonica utilis est ad multa theorema statistica demonstranda. Physici autem plerumque adhibent collectionem cannonicam ad res physicas calculandas, nisi cum de problematis quanticis tractandum est, ubi tunc oportet propter continuam particularum creationem et destructionem collectione macrocanonnica uti.
 
===Collectio microcanonica===