Abstract
A lattice model is used to study the properties of an infinite self-avoiding linear polymer chain that occupies a fractionΦ, 0⩽φ⩽1, of sites on ad-dimensional hypercubic lattice. The model introduces an (attractive or repulsive) interaction energy ε between nonbonded monomers that are nearest neighbors on the lattice. The lattice cluster theory enables us to derive a double series expansion in ε and d−1 for the chain free energy per segment while retaining the fullΦ dependence. Thermodynamic quantities, such as the entropy, energy, and mean number of contacts per segment, are evaluated, and their dependences onΦ, ε, andd are discussed. The results are in good accordance with known limiting cases.
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Nemirovsky, A.M., Dudowicz, J. & Freed, K.F. Thermodynamics of a dense self-avoiding walk with contact interactions. J Stat Phys 67, 395–412 (1992). https://doi.org/10.1007/BF01049041
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DOI: https://doi.org/10.1007/BF01049041