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Science · Advanced Physics
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Problem 6.51. Consider a classical one-dimensional nonlinear oscillator whose energy is given by (6.260) ar 2m where a. p, and m have their usual meanings; the parameter a is a constant. (a) If the oscillator is in equilibrium with a heat bath at temperature T, calculate its mean kinetic energy, mean potential energy, and the mean total energy. (It is not necessary to evaluate any integrals explicitly.) (b) onsider a classical one-dimensional oscillator whose energy is given by (6.261) ka -t ar 2m In this case the anharmonic contribution ar is very small. What is the leading contribution of this term to the mean potential energy? (Recall that for small w, e 1 u

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