Polydisperse chains placed on a one-dimensional lattice
نویسندگان
چکیده
منابع مشابه
Entropy of polydisperse chains: solution on the Husimi lattice.
We consider the entropy of polydisperse chains placed on a lattice. In particular, we study a model for equilibrium polymerization, where the polydispersity is determined by two activities, for internal and endpoint monomers of a chain. We solve the problem exactly on a Husimi lattice built with squares and with arbitrary coordination number, obtaining an expression for the entropy as a functio...
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The adsorption of polydisperse ideal polymer chains is shown to be sensitive to the large N tail of the distribution of chains. If and only if the number of chains decays more slowly than exponentially then there is an adsorption transition like that of monodisperse infinite chains. If the number decays exponentially the adsorption density diverges continuously at a temperature which is a funct...
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Fix nonnegative integers n1, . . . , nd, and let L denote the lattice of points (a1, . . . , ad) ∈ Zd that satisfy 0 ≤ ai ≤ ni for 1 ≤ i ≤ d. Let L be partially ordered by the usual dominance ordering. In this paper we use elementary combinatorial arguments to derive new expressions for the number of chains and the number of Delannoy paths in L. Setting ni = n (for all i) in these expressions y...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2006
ISSN: 0378-4371
DOI: 10.1016/j.physa.2005.12.025