... (1.69)Zc=expµβε2¶+expµ−βε2¶=2coshµβε2¶, (1 .75 )thus using Eqs. (1 .70 ) and (1 .71 ) one findshUi = −ε2tanhµβε2¶, (1 .76 ) and D(∆U)2E=³ε2´21cosh2 βε2, (1 .77 )where β =1/τ.-1-0.8-0.6-0.4-0.20-tanh(1/x)12345x1.3.3 ... systems denoted as S1 and S2.Letσ1= σ1(U1,N1 )and σ2= σ2(U2,N2)betheentropyofthefirst and second system respectivelyEyal Buks Thermodynamics and Statistical Physics 19Chapter 1. ... (1.2) the entropy σ is dimensionless. Historically, the entropywas defined asS = kBσ, (1.90)whereEyal Buks Thermodynamics and Statistical Physics 17 1 .7. Problems Set 1whereas, for particles...