Statistical Physics, Second Revised and Enlarged Edition
148 Chemical thermodynamics SubstitutingPVfrom (13.17)gives NNs=kkkBT ∂ ∂μs (lnZZZG)=exp(μskkkBT)Z(s) (13.18) Comparing(13.17) a ...
Mixed systems and chemical reactions 149 μsarefixed,sothat the requirementisthat (13.20) mustbe stationaryifwe make small change ...
150 Chemical thermodynamics Thereisanimportant wordofwarninginthecalculation ofK(V,T).Thepartition functions for the various com ...
Mixed systems and chemical reactions 151 AB Configuration parameter,η Energy 01 fi i A+BA+B ΔV ΔW Fig. 13. 1 Schematic graph of ...
152 Chemical thermodynamics whichallows another pathnot shown on thegraph,whichhas alowerbarrier or none at all. As an example, ...
14 Dealing with interactions So far in this book we have dealt almost entirely with assemblies made up of weakly interactingpart ...
154 Dealingwith interactions 1 4.1 Electrons in metals The elementary treatment of electrons in metals (section 8.2) is simply t ...
Electrons in metals 155 electron–electron interactions. In the 19 6 0s it was realized that theproblem of the large lattice pote ...
156 Dealingwith interactions lattice perturbation. Themodelisnolongerisotropic,but theε−krelationcanbe markedly different in dif ...
Electrons in metals 157 responsiblefor most oftheenhancementfactor. Theeffectis to coupletogether elec- trons which can scatter ...
158 Dealingwith interactions the one-electron value at theexpense ofother states withinafewkkkBθDof theFermi level, as shown in ...
Liquid helium-3: a fermi liquid 159 specialistlow-temperature physicsbooksunder thebanner ofLandau Fermiliquid theory.What Landa ...
160 Dealingwith interactions for avolume elementink-space. Landau’s approachthen writes δU= ∫ g(k)εδδf(k)dk (14.2) an equationlo ...
Liquid helium-3: a fermi liquid 161 However, since most measuredpropertiesinvolve rather smoothfunctions ofangle for the relevan ...
162 Dealingwith interactions The Landauparameters relate to other measuredquantities also,forinstance the viscosity and diffusio ...
Liquid helium-4: a bose liquid? 163 changes to the new modeofzero sound. Some experimentalresults showingthis effect are shown i ...
164 Dealingwith interactions ofthe non-interactingidealgas. This contrasts withthe Fermiliquids,inwhichthe simple gas theory sti ...
Real imperfect gases 165 theory,sothat we aregettingbackto Boltzmann. Step twoisthen to start to apply the classical treatment t ...
166 Dealingwith interactions Theendresultisthatintheclassicallimitwesimplyreplace sums over states by integrals over the appropr ...
Real imperfect gases 167 is evaluatedas theintegral ZZA= 1 h^3 N 1 N! ∫ exp(−E/kkkBT)dp 1 ...dpNdr 1 ...drN (14.5) We use the co ...
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