Kramers rate theory of ionization and dissociation of bound states

Abstract

Calculating the microscopic dissociation rate of a bound state, such as a classical diatomic molecule, has been difficult so far. The problem was that standard theories require an energy barrier over which the bound particle (or state) escapes into the preferred low-energy state. This is not the case when the long-range repulsion responsible for the barrier is either absent or screened (as in Cooper pairs, ionized plasma, or biomolecular complexes). We solve this classical problem by accounting for entropic memory at the microscopic level. The theory predicts dissociation rates for arbitrary potentials and is successfully tested on the example of plasma, where it yields an estimate of ionization in the core of Sun in excellent agreement with experiments. In biology, the new theory accounts for crowding in receptor-ligand kinetics and protein aggregation.

References in corpus (6)

• Competition of percolation and phase separation in a fluid of adhesive hard spheres
• On the rigidity of a hard sphere glass near random close packing
• Diffusion-limited reactions in crowded environments
• Substrate concentration dependence of the diffusion-controlled steady-state rate constant
• Persistent memory for a Brownian walker in a random array of obstacles
• Complex viscosity behavior and cluster formation in attractive colloidal systems

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