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Nonadiabatic dynamics of condensed phase rate processes
Gabriel Hanna1, Raymond Kapral
1Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario M5S 3H6, Canada. ghanna@cptg.chem.utoronto.ca
Accounts of Chemical Research
|January 18, 2006
Summary
Calculating quantum reaction rates in complex environments is challenging. This study introduces a mixed quantum-classical method to efficiently model quantum particles interacting with classical surroundings, enabling accurate rate constant computation.
Area of Science:
- Quantum dynamics
- Chemical kinetics
- Condensed matter physics
Background:
- Quantum rate processes in condensed phases are complex due to numerous degrees of freedom.
- Full quantum mechanical treatments are often computationally intractable.
- Mixed quantum-classical methods offer a feasible approach by treating some degrees of freedom quantum mechanically and others classically.
Purpose of the Study:
- To present a computational method for studying quantum rate processes in condensed phase environments.
- To detail a mixed quantum-classical dynamical approach based on the quantum-classical Liouville equation.
- To demonstrate the calculation of reaction rate constants for quantum systems in classical baths.
Main Methods:
- Utilizing the quantum-classical Liouville equation to model the dynamics.
- Defining the coupling between quantum and classical degrees of freedom.
- Applying the method to a model system of proton transfer in a polar solvent.
Main Results:
- The developed method allows for the computation of rate constants for quantum particles in classical environments.
- The quantum-classical Liouville equation provides a clear framework for inter-degrees of freedom coupling.
- Successful illustration on a proton transfer model system.
Conclusions:
- The mixed quantum-classical dynamical method is effective for studying quantum rate processes in condensed phases.
- This approach offers a computationally feasible alternative to full quantum treatments.
- The method is applicable to various systems, including proton transfer in solution.