DIFFUSIONGRAVITYVLASOV EQUATIONThe one-dimensional gravitational system consists of N parallel sheets of constant mass density. The sheets move perpendicular to their surface solely under their mutual gravitational attraction. When a pair has an encounter, they simply pass through each other. In this ...
We review an exact method for calculating the mean lifetime of a particle and an exact rate equation in terms of the correlation function. In addition, the distribution of particle lifetimes is calculated under a "constant-killing-rate" approximation that compares favourably with the results of ...
Diffusion Bases (1) Dushnik et al. (2013) [46] 5.3 Cluster models Cluster models suppose that each pixel in the frame can be temporally represented by clusters. The clustering approaches consist of K-mean algorithms [47], Codebooks [48] or basic sequential clustering methods [49]. • ...
The critical exponent ν describes the diffusion properties of the SARW. For d > 4 the model is purely diffusive as for the conventional (Markovian) random walk49, while in the range 2 < d ≤ 4 the system behaves super-diffusively. Finally, in d = 1 it can be exact...
NMR diffusion measurements in complex mixtures using constant-time-HSQC-IDOSY and computer-optimized spectral aliasing for high resolution in the carbon di... Jeanneat, NMR diffusion measurements in complex mixtures using constant-time-HSQC-IDOSY and computer-optimized spectral aliasing for high ...
Classical Fick's Law, assuming that the ‘random walker’ has also a probability to stay in place (using the standard relation, x2(t) = 2dDt, where D is the diffusion constant and d is the dimension of lattice) loses here its validity. Instead, the mean square displacement is described...
On the magnitude and variability of subgrid-scale eddy-diffusion coefficients in the atmospheric surface layer Eddy-viscosity closures for large eddy simulations (LES) of atmospheric boundary layer dynamics include a parameter (Smagorinsky constant ), which depends ... J Kleissl,C Meneveau,MB Parlan...
The above equation was introduced by van Beijeren, Kutner and Spohn in [vBKS85] as an approximation of the fluctuations of general driven diffusion systems with one conserved quantity, e.g. the Asymmetric Simple Exclusion Process (ASEP) on\({\mathbb {Z}}^d\). The nonlinear term in (1.1...
The hydrodynamic radius (RH) and the concentration coefficient of the diffusion coefficient (kD) for PMPC were independent of Cs, whereas those for PMAPS were strongly dependent on Cs. Monodisperse silica nanoparticles immobilized with PMAPS (SiNP-PMAPS) and PMPC (SiNP-PMPC) by surface-initiated ...
Asymptotic form of the spectral dimension of the Sierpinski gasket type of fractals This result implies, among other things, that the scaling exponents of the resistivity and diffusion constant should logarithmically vanish at the fractal-lattice crossover.doi:10.1088/0305-4470/20/11/008Borjan, Z.....