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Negative temperature: A system consists of N non-interacting particles. The energy of each particle can take only two distinct values, 0 and ϵ. The number of particles in the 0 and ϵ energy levels are n0 and n1, respectively. The total energy of the system is E.a. Use the microcanonical ensemble to find the entropy S of the system.b. Find the temperature as a function of E. For what range of n0 is T<0 ?c. In what direction does heat flow when a system at negative temperature is brought into ther
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