Statistical Physics, Second Revised and Enlarged Edition
168 Dealingwith interactions The extendedproductis not so easyto evaluate after theleadingterm, whichgives simply unity and henc ...
15 Statistics under extreme conditions In most ofthisbook,wehavebeendealingwithconventionalmaterials. However, statistical physi ...
170 Statistics under extreme conditions equalto^35 Nμ( 0 )for anidealgas. Not altogether surprisingly, nature seems to seeka way ...
Superfluid states in Fermi–Dirac systems 171 Temperature 0 TTTc 0 Entropy ntro S Heat capacitycapa C Heat capac ity C an d entro ...
172 Statistics under extreme conditions existence. Itis worthmentioningthat the2intheh/ 2 eflux quantum arisesdirectly from the ...
Superfluid states in Fermi–Dirac systems 173 Temperature (mK) Pressure (b ar ) Normal liquid 0 0 10 20 30 40 123 Superfluiduperf ...
174 Statistics under extreme conditions Inverse temperature (1/TTT,T in mmmK) Log (d amp ing ) Normal fluid 0 0.00 0 0.1 10 1000 ...
Statistics in astrophysical systems 175 Whether or not superfluidityis a part oftheunderstandinginvolves speculation too uncerta ...
176 Statistics under extreme conditions wheremisthe massdifferencebetween neutron andproton. Usingtheknown mass values,we find ...
Statistics in astrophysical systems 177 inasingle stagetoablackhole. Bothofthefirst two oftheseinvolvehighly dense matter and ex ...
178 Statistics under extreme conditions includerelativitywithratherfew problems. Step (a)isidenticalto theabove, sinceit involve ...
Statistics in astrophysical systems 179 whereKisaknown constant (roughly known thatis, sinceitincludesα). Infact, assumingα= 0 . ...
180 Statistics under extreme conditions problem nowhinges on the strengthofthegravitationalattraction, afactor which becomes of ...
Appendix A Some elementary countingproblems Suppose you haveNdistinguishable objects. 1.In how many different ordered sequences ...
182 Appendix A (x+y)N?Andthe answeristhe same: zero unlessn+m=N,butifn+m=Nthen the required number isN!/(n!×m!). 3 .Inhow many w ...
Appendix BSome problems with large numbers 1 STIRLING’SAPPROXIMATION Stirling’s approximationgives a veryuseful method for deali ...
184 Appendix B z 0 12 3 4 5 6 7^356 X z X–– 22 XX– 1 Fig. B. 1 Stirling’s approximation. physics; evenfor a verymodestX= 1 000, ...
AppendixB 185 Hence lnP=0,orP= 1 ,withinthe accuracyofStirling’s approximation. Another way of stating this result is as:t∗=,a ...
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Appendix C Some useful integrals 1 MAXWELL–BOLTZMANN INTEGRALS To calculate the properties of an MB gas, as in Chapter 6, we nee ...
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