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Correct interpretation of X-ray observations of transiently accreting neutronstars requires modeling of nuclear-physical processes in these objects. Weconsider a chain of nuclear reactions that drives the crust composition in anaccreting neutron star and heats up the star. We constructed multicomponentapproach with the kinetics of nuclear reactions described in simplifiedstepwise manner. The redistribution of nucleons between nuclei by emission andcapture of neutrons is shown to significantly affect the nuclear reactionchains and the composition of the inner crust. In particular, even if the outercrust has one-component composition, the appearance of free neutrons in theinner crust leads to branching of reaction chains and formation of themulticomponent composition. We apply the compressible liquid drop nuclearmodel, which includes effects of free neutrons on nuclear energies. It allowsus to calculate the composition, the heating profile and the equation of stateof matter up to densities \rho ~ 2 \times 10^{13} g cm^{-3}.

Equation of state and composition of the inner crust of an accreting neutron star: multicomponent model