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We have implemented vibronic dynamics for simulations of the third ordercoherent response of electronic dimers. In the present communication we providethe full and detailed description of the dynamical model, recently used forsimulations of chlorophyll-carotenoid dyads, terylene dimers, or hypericin. Weallow for explicit vibronic level structure, by including selected vibrationalmodes into a "system". Bath dynamics include the Landau-Teller vibrationalrelaxation, electronic dephasing, and nonlinear vibronic (to bath) coupling.Simulations combine effects of transport and dephasing between vibronic levels.Transport is described by master equation within secular approximation, phaseis accumulated in cumulants and its calculation follows the transport pathwaysduring waiting time period.

Simulations of coherent nonlinear optical response of molecular vibronic dimers