EQUATIONS OF MOTION FOR A CLASSICAL CHARGED-PARTICLE IN A POLAR MEDIUM

Closed classical equations of motion are obtained for a molecular comp lex in a polar medium. It is found that the classical part of the pola rization of the medium creates an effective potential for the particle s of the molecular complex which is nonlocal in time and involves memo ry effects. Using the effective Hamiltonian method it is shown that th e form of the effective potential depends on the complex dielectric fu nction of the medium. The effect of the medium is not reduced in gener al by the introduction of a dielectric constant into the Coulomb inter action potentials. The equations derived can serve as a basis for mole cular dynamics simulations of various systems in polar media.