Use the microcanonical distribution to calculate thermodynamic properties (including entropy, all relevant thermodynamic potentials, and heat...

Use the microcanonical distribution to calculate thermodynamic properties (including entropy, all relevant thermodynamic potentials, and heat capacity), of an ensemble of similar two-level systems, in thermodynamic equilibrium at temperature T that is comparable with the energy gap (delta). For each variable, sketch its temperature dependence, and find its asymptotic values (or trends) in the low- temperature and high-temperature limits.

Hint: The two-level system is generally defined as any system with just two relevant states whose energies, say E0 and E1, are separated by a finite gap (delta)= E1 - E0. Its most popular (but not the only!) example is a spin-1⁄2 particle, e.g., an electron, in an external magnetic field.

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genius_generous answered 2 years ago

Use the Gibbs distribution to calculate thermodynamic properties (including entropy, all relevant thermodynamic potentials, and heat...

Use the Gibbs distribution to calculate thermodynamic properties (including entropy, all relevant thermodynamic potentials, and heat capacity), of an ensemble of similar two-level systems, in thermodynamic equilibrium at temperature T that is comparable with the energy gap (delta). For each variable, sketch its temperature dependence, and find its asymptotic values (or trends) in the low- temperature and high-temperature limits. Also, calculate the probabilities of the energy level occupation, and give physical interpretations of your results, in both temperature limits.

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