2.9. (a) Solve the integral .. (dx.draw) 3N and use it to determine the "volume" of the relevant region of the phase space of an extreme relativistic gas (e = pc) of 3N particles moving in one dimension. Determine, as well, the number of ways of distributing a given energy E among this system of particles and show that, asymptotically, wo = hN. (b) Compare the thermodynamics of this system with that of the system considered in Problem 2.8. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2.9. (a) Solve the integral
..| (dx ...dran)
3N
05 ISR
and use it to determine the "volume" of the relevant region of the phase space of an extreme
relativistic gas (e = pc) of 3N particles moving in one dimension. Determine, as well, the
number of ways of distributing a given energy E among this system of particles and show that,
asymptotically, aw =h3N.
(b) Compare the thermodynamics of this system with that of the system considered in Problem 2.8.
%3D
%3D
Transcribed Image Text:2.9. (a) Solve the integral ..| (dx ...dran) 3N 05 ISR and use it to determine the "volume" of the relevant region of the phase space of an extreme relativistic gas (e = pc) of 3N particles moving in one dimension. Determine, as well, the number of ways of distributing a given energy E among this system of particles and show that, asymptotically, aw =h3N. (b) Compare the thermodynamics of this system with that of the system considered in Problem 2.8. %3D %3D
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