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An equation of state for a single polymer chain can be established with use of either a constant force or a constant length ensemble. These two equations of state, often regarded as equivalent, are shown here to be fundamentally different in the weak-stretching (Hooke's law) regime. In this limit, the equation derived from the force ensemble is unrelated to Hooke's law. Various calculations of the influence of the excluded volume interaction on the equation of state are discussed.
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R. Neumann (1985) studied this question.
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