1. Consider a system that consists of N non-interacting localized particles. Each particle has only two energy states wi

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1 Consider A System That Consists Of N Non Interacting Localized Particles Each Particle Has Only Two Energy States Wi 1 (58.54 KiB) Viewed 33 times

1. Consider a system that consists of N non-interacting localized particles. Each particle has only two energy states with the low energy of O and the high energy level of ε. If there are n (Osn SN) particles occupy the high energy level state, and the remaining particles occupy the low energy level states, (a) find the total energy E of the system in terms of n; (b) analogy with a spin / system, prove that the number of all accessible microstates in the total energy range N! SE between E and E + oE is given by 2(E) : (e) find the entropy S of the system n!(Nân): 8 SE in terms of n (you can apply the Stirling's formula and neglect the term of In ); (d) င် 1 obtain the temperature parameter B (= -) and then express n as a function of the temperature k,T parameter B; (e) discuss the situation in which the negative temperature could occur in this system. (25 points)