کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
974331 | 1480115 | 2016 | 19 صفحه PDF | دانلود رایگان |
• The generalized Langevin equation is solved analytically for a viscoelastic fluid.
• Alternative stochastic equations are derived for a diffusing dense fluid particle.
• The Fluctuation–Dissipation theorem is generalized for a fluid in an external field.
• A self-contained definition of diffusion coefficient is provided.
• The short time dynamics within absorbing boundaries fits the MD simulations.
The non-static generalized Langevin equation and its corresponding Fokker–Planck equation for the position of a viscous fluid particle were solved in closed form for a time dependent external force. Its solution for a constant external force was obtained analytically. The non-Markovian stochastic differential equation, associated to the dynamics of the position under a colored noise, was then applied to the description of the dynamics and persistence time of particles constrained within absorbing barriers. Comparisons with molecular dynamics were very satisfactory.
Journal: Physica A: Statistical Mechanics and its Applications - Volume 458, 15 September 2016, Pages 76–94