Chemical Reaction Dynamics within Anisotropic Solvents in Time-Dependent Fields

Abstract

The dynamics of low-dimensional Brownian particles coupled to time-dependent driven anisotropic heavy particles (mesogens) in a uniform bath (solvent) have been described through the use of a variant of the stochastic Langevin equation. The rotational motion of the mesogens is assumed to follow the motion of an external driving field in the linear response limit. Reaction dynamics have also been probed using a two-state model for the Brownian particles. Analytical expressions for diffusion and reaction rates have been developed and are found to be in good agreement with numerical calculations. When the external field driving the mesogens is held at constant rotational frequency, the model for reaction dynamics predicts that the applied field frequency can be used to control the product composition.

13 pages, 5 figures

References in corpus (4)

• Brownian motors: noisy transport far from equilibrium
• Surmounting Oscillating Barriers
• Friction Drag on a Particle Moving in a Nematic Liquid Crystal
• Ferrofluids as thermal ratchets

Cited by in corpus (8)

• Chemical dynamics between wells across a time-dependent barrier: Self-similarity in the Lagrangian descriptor and reactive basins
• Escape rate from a metastable state weakly interacting with a heat bath driven by an external noise
• Dynamics of a metastable state nonlinearly coupled to a heat bath driven by an external noise
• Multiplicative cross-correlated noise induced escape rate from a metastable state
• The projection of a nonlocal mechanical system onto the irreversible generalized Langevin equation, II: Numerical simulations
• Pattern formation from consistent dynamical closures of uniaxial nematic liquid crystals
• Mesoscopic non-equilibrium thermodynamics approach to non-Debye dielectric relaxation
• Transport and bistable kinetics of a Brownian particle in a nonequilibrium environment