First passage times, correlation functions, and reaction rates

Bicout, D.J.; Szabo, Attila
June 1997
Journal of Chemical Physics;6/22/1997, Vol. 106 Issue 24, p10292
Academic Journal
Reports on the generalization of the Wilemski-Fixman sink-sink correlation function expression for the average lifetime of a particle in the presence of a delta-function sink to the case when the particle is destroyed by an absorbing boundary. Diffusion in the presence of a delta-function sink; Survival probability and mean lifetime.


Related Articles

  • Subdiffusion and stable laws. Uchaıkin, V. V. // Journal of Experimental & Theoretical Physics;Jun99, Vol. 88 Issue 6, p1155 

    This paper examines particle diffusion in N-dimensional Euclidean space with traps of the return type. Under the assumption that the random continuous-diffusion time has a finite mean value, it is established that subdiffusion (which is characterized by an increase in the width of the diffusion...

  • Predicting chaotic dispersion with Eulerian symmetry measures: Wavy Taylor-vortex flow. King, G. P.; Rowlands, G.; Rudman, Murray; Yannacopoulos, A. N. // Physics of Fluids;Sep2001, Vol. 13 Issue 9, p2522 

    In a recent investigation of particle transport in numerically computed wavy Taylor-vortex flow, Rudman estimated an effective axial diffusion coefficient, D[sub z], to characterize the enhanced mixing due to chaotic advection [AIChE J. 44, 1015 (1998)]. We find that D[sub z] is proportional to...

  • The measurement of shear-induced diffusion in concentrated suspensions with a Couette device. Nadim, Ali // Physics of Fluids (00319171);Oct88, Vol. 31 Issue 10, p2781 

    A novel theoretical scheme is presented; which permits measurements of the so-called shearinduced diffusivity in concentrated suspensions to be made based upon long-time data collected in a two-cylinder Couette device. For this purpose the motion of a single (labeled) suspended particle is...

  • The spatial evolution of particles diffusing in the presence of randomly placed traps. Dunlap, D. H.; LaViolette, Randall A.; Parris, P. E. // Journal of Chemical Physics;6/1/1994, Vol. 100 Issue 11, p8293 

    The evolution of a particle undergoing a continuous-time random walk in the presence of randomly placed imperfectly absorbing traps is studied. At long times, the spatial probability distribution becomes strongly localized in a sequence of trap-free regions. The subsequent intermittent transfer...

  • The span of one-dimensional multiparticle Brownian motion. Sastry, G. Madhavi; Agmon, Noam // Journal of Chemical Physics;2/22/1996, Vol. 104 Issue 8, p3022 

    A closed-form expression is obtained for the time evolution of the territory covered by N independently diffusing particles starting from the origin in one-dimension, with and without bias. For the latter case, the transcendental-approximation derived is essentially exact for any number of...

  • Non-Fickian diffusion in colloidal glasses. Hagen, M.H.J.; Frenkel, D. // Journal of Chemical Physics;7/1/1998, Vol. 109 Issue 1, p275 

    Examines the decay of the self-dynamic structure factor for a small particle diffusing in a colloidal glass. Identification of super-Burnett coefficient as finite; Detection of the large scale deviations from Fick's law of diffusion; Definition of the diffusion coefficient of a tagged particle...

  • Comment on: Diffusion through a slab. Gieseler, U.D.J.; Kirk, J.G. // Journal of Mathematical Physics;May97, Vol. 38 Issue 5, p2751 

    Comments on an article published in the 'Journal of Mathematical Physics' which calculates the transmission coefficient and angular distribution of particles. Entry into thick slab at normal incidence; Diffusion in the slab with linear anisotropic and non-absorbing scattering; Generalization of...

  • Orientation model for particles in turbulence. Klett, James D. // Journal of the Atmospheric Sciences;6/15/95, Vol. 52 Issue 12, p2276 

    Presents a heuristic model which assumes that nonspherical particles are subject to isotropic turbulence within or below the inertial subrange called the Kolmogorov spectrum of eddies depending on the particle dimensions. Determination of the rms tilt angle of a spheroidal particle of small...

  • Nonexponential decay of velocity correlations in surface diffusion: The role of interactions and ordering. Vattulainen, I.; Hjelt, T.; Ala-Nissila, T.; Ying, S. C.; Ying, S.C. // Journal of Chemical Physics;12/8/2000, Vol. 113 Issue 22 

    We study the diffusive dynamics of adparticles in two model systems with strong interactions by considering the decay of the single-particle velocity correlation function φ(t). In accordance with previous studies, we find φ(t) to decay nonexponentially and follow a power-law...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics