Physics · Statistical Mechanics
A system of N classical non-identical particles moving in a one-dimensional space is governed by the Hamiltonian: H = Σi=1N (Aipi2 + Bi|qi|α) where pi and qi are the momentum and position of the i-th particle, respectively, and the constant parameters Ai and Bi characterize the individual particles. When the system is in equilibrium at temperature T, the internal energy is found to be E = ⟨H⟩ = 23NkBT, where kB is the Boltzmann constant. What is the value of α?
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Correct answer
6
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