Problems and Solutions on Thermodynamics and Statistical Mechanics
310 Problems €4 Solutiona on Thermodynamics d Statistical Mechanica V kT Nv potential for the three-dimensional gas, - = -, and ...
Statistical Physic8 311 (b) There is no difference between a two-dimensional oscillator and two independent one-dimensional osci ...
312 Problems €4 Solutions on Thermodynamics €4 Statistical Mechanics 2131 Consider a dilute diatomic gas whose molecules consist ...
Statistical Physica (b) kT << h2/I. We have ZR = 1 + 3e- a( h' /4na I) +. ,. + 3e-h1~4n2k~~ 313 " e-h214n21kT I 3Nh2 e-h' ...
314 Pmblema €f Solution, on Thermodynamics^8 Statistical Mechanics Thus E = --NpOH tanli(poH/kT). The partition function of the ...
Statiaticd Physics 315 where a = po B/kT. (b) The entropy is = Nk[ln(e"+e-")-a:tanha:]. (c) The average energy is a ap U = --l ...
316 Problems €4 Solcltiona on Thermodynamics d Statistical Mechanics 2134 Consider N fixed non-interacting magnetic moments each ...
Statiatical Physics 317 2155 Consider a system of non-interacting spins in an applied magnetic field H. Using S = k(1n Z + PE), ...
318 Problems 8' SdlLtiom on Thermodylamica d Statistical Mechanics the entropy and specific heat of the lattice ions to be much ...
Statistid Physics 319 neighbors generate a ‘mean field’ at the site of each atom, where Q is a parameter which characterizes the ...
320 Problems €4 Solutions on Thermodynamic8 t3 Statistical Mechanics where M is total magnetic moment. Using the result in (d), ...
Statistical Physics 32 1 The degeneracy of the quantized energy levels is given by where the integral limits A1 represents 2p~B1 ...
322 where ?i = x/V is the particle number density. ProMema €4 Solutions on Thermcdynamica €4 Statistical Mechanic8 2138 A certai ...
Statistical Physics 323 2139 What is the root-mean-square fluctuation in the number of photons of mode frequency w in a conducti ...
324 Problem8 d Solutions on Thermodynamics d Statisticd Mechanks chemical potential p (determined by the pressure p and the temp ...
Statistical Physica 325 2141 A zipper has N links. Each link has two states: state 1 means it is closed and has energy 0 and sta ...
326 Problem4 & Sdutiom on Thermodpamica^8 Statintical Mechanic8 2142 1 A system consisting of three spins in a line, each ha ...
Statidtical Physics 327 Solution: S,(3)) stand for its energy. We have (a) Let (S, (l), S, (2), S, (3)) stand for a microstate, ...
328 Problema t3 Solutiona on Thermodynamica €4 Statistical Mechanics J (b) 1) U = --, M = *p, S = kln2; 3 2)U=---pH, M=p, S=O; ...
Statistical Physics 329 2143 Consider a crystalline lattice with Ising spins sc = t at each site L In the presence of an externa ...
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