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Title: Binding polynomial in molecular self-assembly
Authors: Mosunov, A. A.
Rybakova, K. A.
Rogova, O. V.
Evstigneev, M. P.
Keywords: mathematics
mathematical physics
binding polynomial
molecular self-assembly
molecular units
equilibrium distribution of oligomers
binding polynomial
Issue Date: 2014
Citation: Binding polynomial in molecular self-assembly / A. A. Mosunov [et al.] // Physical Review E. - 2014. - Vol.89, №6.- Art.062138.
Abstract: In the present work the concept of a binding polynomial is revisited for the most widely used case of self-assembly of identical molecular units and results in the re-construction of a link to the grand partition function of such a system. It is found that if the self-assembly process is not pronounced (i.e., the product of the equilibrium constant and the monomer concentration is close to zero), the binding polynomial has the meaning of a molecular partition function that is given by the summation over energy levels of any molecule in the system. In other cases the concept of a binding polynomial may be misleading
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