  We derive generalized charge energy rate equations for organic solids and
biomolecular aggregates, even when these are dynamically disordered. These
equations suggest that the transport in such cases rely on both drift and
diffusion phenomena. The presence of disorder and field effects makes the
equations nonlinear and together with cooperativity, these enhance the charge
and energy transport. The generalized drift diffusion expression connects the
adiabatic band and nonadiabatic hopping transport mechanisms, well suited for
any complex organic semiconductors or assemblies of bio molecular systems. Here
we have proposed donor-acceptor (DA) reaction state model, which examines the
probability of charge transfer and the rate between two distinct transition
state identities. From our analytical equations, we suggest that charge and
energy transport property in DA states can be tuned by only a single parameter,
i.e., the chemical potential. Importantly, we find the non-equilibrium assisted
drift-diffusion transport at non- steady state regime in 2D and 3D
semiconducting devices. The numerical results clearly support our unified
analytical equations, which goes beyond Einstein's diffusion law even in quasi-
equilibrium cases.
