Consider a system of N non-identical independent particles each of which may occupy one of two...

  

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Consider a system of N non-identical independent particles each of which may occupy one of two states with energies 0 and e. Energy eigenstates are then characterized by the sequences v (n₁, n2,..., ny), where n, = 0 or 1, and Ev = N Σnje. j=1 a) Find the cumulative distribution function of states J(E). Write it in a closed form for E > Ne. b) Calculate the canonical partition function, free energy, entropy and heat capacity. Consider a system of N non-identical independent particles each of which may occupy one of two states with energies 0 and e. Energy eigenstates are then characterized by the sequences v (n₁, n2,..., ny), where n, = 0 or 1, and Ev = N Σnje. j=1 a) Find the cumulative distribution function of states J(E). Write it in a closed form for E > Ne. b) Calculate the canonical partition function, free energy, entropy and heat capacity.