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Show that the tension 7, with 7 > 0 when the polymer is pulling towards decreasing r,

Show that the tension 7, with 7 > 0 when the polymer is pulling towards decreasing r,

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Problem I-2. (Statistical Physics) One of the more surprising aspects of polymers is that the polymer elasticity can follow Hooke's law. Consider a 3D polymer chain of N subunits of length a. Assume that the internal energy of the polymer is independent of the polymer's conformation and that, for a given end-to-end distance r, the number of polymer microstates satisfies Ω α exp Show that the tension 7, with т > 0 when the polymer is pulling towards decreasing r, satisfies Hooke's law, 7 = kr, and find k. 3r² 2Na²
Transcribed Image Text:Problem I-2. (Statistical Physics) One of the more surprising aspects of polymers is that the polymer elasticity can follow Hooke's law. Consider a 3D polymer chain of N subunits of length a. Assume that the internal energy of the polymer is independent of the polymer's conformation and that, for a given end-to-end distance r, the number of polymer microstates satisfies Ω α exp Show that the tension 7, with т > 0 when the polymer is pulling towards decreasing r, satisfies Hooke's law, 7 = kr, and find k. 3r² 2Na²
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