Single-file diffusion in a box.
نویسندگان
چکیده
We study diffusion of (fluorescently) tagged hard-core interacting particles of finite size in a finite one-dimensional system. We find an exact analytical expression for the tagged particle probability density function using a Bethe ansatz, from which the mean square displacement is calculated. The analysis shows the existence of three regimes of drastically different behavior for short, intermediate, and large times. The results are in excellent agreement with stochastic simulations (Gillespie algorithm).
منابع مشابه
Modelling the catalyst fragmentation pattern in relation to molecular properties and particle overheating in olefin polymerization
A two-dimensional single particle finite element model was used to examine the effects of particle fragmental pattern on the average molecular weights, polymerization rate and particle overheating in heterogeneous Ziegler-Natta olefin polymerization. A two-site catalyst kinetic mechanism was employed together with a dynamic two-dimensional molecular species in diffusion-reaction equation. The i...
متن کاملMathematical modeling the effect of catalyst initial shape and the crack pattern in olefin copolymerization
A two-dimensional (2D) single particle model for the copolymerization of propylene-ethylene with heterogeneous Ziegler-Natta catalyst is developed. The model accounts for the effects of the initial shape of the catalyst and carck/ pore patterns on the copolymer composition, polymerization rate and the average molecular weight properties. The spherical and oblate ellipsoidal shapes of catalyst p...
متن کاملNanodimensional AlMCM-41 material for adsorption of dyes: Thermodynamic and kinetic studies
AlMCM-41 was applied for adsorption of methylene blue (MB) and auramine (AU) in single and binary component systems. In the single component systems, AlMCM-41 represents higher adsorption capacity for MB than AU with the maximal adsorption capacity of 2.07×10−4 and 1.15×10−4 mol/g at 25 ˚C for MB and AU, respectively. In the binary component system, MB and AU exhibit compe...
متن کاملNanodimensional AlMCM-41 material for adsorption of dyes: Thermodynamic and kinetic studies
AlMCM-41 was applied for adsorption of methylene blue (MB) and auramine (AU) in single and binary component systems. In the single component systems, AlMCM-41 represents higher adsorption capacity for MB than AU with the maximal adsorption capacity of 2.07×10−4 and 1.15×10−4 mol/g at 25 ˚C for MB and AU, respectively. In the binary component system, MB and AU exhibit compe...
متن کاملSingle Layer Extended Release Two-In-One Guaifenesin Matrix Tablet: Formulation Method, Optimization, Release Kinetics Evaluation and Its Comparison with Mucinex® Using Box-Behnken Design
Guaifenesin, a highly water-soluble active (50 mg/mL), classified as a BCS class I drug.Owing to its poor flowability and compressibility, formulating tablets especially high-dose one,may be a challenge. Direct compression may not be feasible. Bilayer tablet technology appliedto Mucinex®, endures challenges to deliver a robust formulation. To overcome challengesinvolved in bilayer-tablet manufa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review letters
دوره 100 20 شماره
صفحات -
تاریخ انتشار 2008