Physics · Statistical Mechanics
A one-dimensional chain consists of a set of N rods each of length a. When stretched by a load, each rod can align either parallel or perpendicular to the length of the chain. The energy of a rod is -ε when aligned parallel to the length of the chain and is +ε when perpendicular to it. When the chain is in thermal equilibrium at temperature T, its average length is:
- 1Na 1 + e 2ε/k B T
- 2Na 1 + e -2ε/k B T✓
- 3Na 2
- 4Na
Correct answer
Na 1 + e -2ε/k B T
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