(3) Let us consider a particle that can take three energies —ɛ, 0, ɛ. This particle is immersed in a bath of constant temperature T. (a) Calculate the probability P for this particle to have the energy -ε. Evaluate this probability P in the limits of T = 0 and T = ∞o. (b) Calculate the partition function Z and the Helmholtz free energy F.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.36P
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(3) Let us consider a particle that can take three energies —ɛ, 0, ɛ. This particle is immersed in a
bath of constant temperature T.
(a) Calculate the probability P for this particle to have the energy -ε. Evaluate this probability
P in the limits of T = 0 and T = ∞o.
(b) Calculate the partition function Z and the Helmholtz free energy F.
Transcribed Image Text:(3) Let us consider a particle that can take three energies —ɛ, 0, ɛ. This particle is immersed in a bath of constant temperature T. (a) Calculate the probability P for this particle to have the energy -ε. Evaluate this probability P in the limits of T = 0 and T = ∞o. (b) Calculate the partition function Z and the Helmholtz free energy F.
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