2. For a system of non-interacting, one-dimensional, distinguishable classical particles in a harmonic oscillator potential, V...

2. For a system of non-interacting, one-dimensional, distinguishable classical particles in a harmonic oscillator potential, V = kx² in contact with a particle reservoir with chemical potential µ and a thermal reservoir at temperature T.

(a) Calculate the grand partition function Z for the system. Note that there is no fixed "volume" for this system.

(b) Obtain N (number of particles) and U as functions of µ and T and show that U satisfies the equipartition theorem

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genius_generous answered 1 year ago

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