title: Binding polynomial in molecular self-assembly.
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.
authors.affiliation: Department of Physics, Sevastopol National Technical University, Sevastopol 99053, Russia.
authors.forename: Andrew A
authors.initials: AA
authors.lastname: Mosunov
authors.affiliation: Department of Physics, Sevastopol National Technical University, Sevastopol 99053, Russia.
authors.forename: Kristina A
authors.initials: KA
authors.lastname: Rybakova
authors.affiliation: Department of Physics, Sevastopol National Technical University, Sevastopol 99053, Russia.
authors.forename: Olga V
authors.initials: OV
authors.lastname: Rogova
authors.affiliation: Department of Physics, Sevastopol National Technical University, Sevastopol 99053, Russia and Department of Biology and Chemistry, Belgorod State University, Belgorod 308015, Russia.
authors.forename: Maxim P
authors.initials: MP
authors.lastname: Evstigneev
mesh_terms: D008958:Models, Molecular