- Please Dont Write Wrong Answer 1 (63.21 KiB) Viewed 32 times
please dont write wrong answer..
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answerhappygod
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please dont write wrong answer..
please dont write wrong answer..
20 13.26. Show that for any given fluid KT=p-2(ap/au)r, where p(=N/V) is the particle density and u the chemical potential of the fluid. For the ideal Bose gas at T <Tc. kgT $(d/2) p=po + pe Vu Using these results, show that! K] (V/kgT) (po/p)2 (T <Tc); note that in the thermodynamic limit the reduced compressibility, kpTkT/v, is infinite at all T <Tc. Compare Problem 13.20. 13.27. Consider an ideal relativistic Bose gas composed of N1 particles and Ny antiparticles, each of rest mass mo, with occupation numbers 1 1 and expIB(8 --- 1 explße - M2)]-1' respectively, and the energy spectrum & = c(p?+ mēc?). Since particles and antiparticles are supposed to be created in pairs, the system is constrained by the conservation of the number Q(=N1-N2), rather than of Ni and N2 separately, accordingly, ui=-42=say. Set up the thermodynamic functions of this system in three dimensions and examine the onset of Bose-Einstein condensation as T approaches a critical value, To, determined by the "number density" Q/V. Show that the nature of the singularity at T = T is such that, regardless of the severity of the relativistic effects, this system falls in the same universality class as the nonrelativistic one. from mountio 1990 no 12 for line (1317) Dlot tenir
20 13.26. Show that for any given fluid KT=p-2(ap/au)r, where p(=N/V) is the particle density and u the chemical potential of the fluid. For the ideal Bose gas at T <Tc. kgT $(d/2) p=po + pe Vu Using these results, show that! K] (V/kgT) (po/p)2 (T <Tc); note that in the thermodynamic limit the reduced compressibility, kpTkT/v, is infinite at all T <Tc. Compare Problem 13.20. 13.27. Consider an ideal relativistic Bose gas composed of N1 particles and Ny antiparticles, each of rest mass mo, with occupation numbers 1 1 and expIB(8 --- 1 explße - M2)]-1' respectively, and the energy spectrum & = c(p?+ mēc?). Since particles and antiparticles are supposed to be created in pairs, the system is constrained by the conservation of the number Q(=N1-N2), rather than of Ni and N2 separately, accordingly, ui=-42=say. Set up the thermodynamic functions of this system in three dimensions and examine the onset of Bose-Einstein condensation as T approaches a critical value, To, determined by the "number density" Q/V. Show that the nature of the singularity at T = T is such that, regardless of the severity of the relativistic effects, this system falls in the same universality class as the nonrelativistic one. from mountio 1990 no 12 for line (1317) Dlot tenir
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