2004/12/14 by Eli Hershkovits, Rigoberto Hernandez · 21 citations
Computer Science · Mathematics · Physics and Astronomy · #Anisotropy #Brownian dynamics #Brownian motion #Classical mechanics #Diffusion #Dynamics (music) #Field (mathematics) #Langevin dynamics #Langevin equation #Limit (mathematics) #Mathematical analysis #Mathematics #Molecule #Nonlinear Dynamics and Pattern Formation #Physics #Quantum mechanics #Reaction dynamics #Rotational diffusion #Smoluchowski coagulation equation #Spectroscopy and Quantum Chemical Studies #Statistical physics #Thermodynamics #cond-mat.mtrl-sci #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1063/1.1829252
published in The Journal of Chemical Physics 122(1), 14509 (American Institute of Physics) · 13 pages, 5 figures
openalex publication_date 2004/12/14 · arxiv created 2005/01/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.