Cube-based diffusion algorithm v12
نویسندگان
چکیده
We study molecular diffusion in (linear) nanopores with different types of roughness in the so-called Knudsen regime. Knudsen diffusion represents the limiting case of molecular diffusion in pores, where mutual encounters of the molecules within the free pore space may be neglected and the time of flight between subsequent collisions with the pore walls significantly exceeds the interaction time between the pore walls and the molecules. In this paper we present in full detail the algorithm, which we used in our previous studies, where we showed complete equivalence of self(or tracer-) and transport diffusion.
منابع مشابه
Cube-based diffusion algorithm
We study molecular diffusion in (linear) nanopores with different types of roughness in the so-called Knudsen regime. Knudsen diffusion represents the limiting case of molecular diffusion in pores, where mutual encounters of the molecules within the free pore space may be neglected and the time of flight between subsequent collisions with the pore walls significantly exceeds the interaction tim...
متن کاملImproved Conditional Cube Attacks on Keccak Keyed Modes with MILP Method
Conditional cube attack is an efficient key-recovery attack on Keccak keyed modes proposed by Huang et al. at EUROCRYPT 2017. By assigning bit conditions, the diffusion of a conditional cube variable is reduced. Then, using a greedy algorithm (Algorithm 4 in Huang et al.’s paper), Huang et al. find some ordinary cube variables, that do not multiply together in the 1st round and do not multiply ...
متن کاملAccurate estimation of a multiple fascicle model is enabled by manipulation of gradient strength in a two - shell HARDI to achieve low
Introduction. There is a growing interest in parametric models to represent the diffusion-weighted signal [1-3] and to extend the common diffusion tensor imaging (DTI) model to better capture and characterize properties of the brain white matter (WM). Among them, a multi-fascicle model (MFM) which represents the signal contribution from each fascicle with a tensor and the freely diffusing water...
متن کاملDesigning 3-D Nonlinear Diffusion Filters for High Performance Cluster Computing
This paper deals with parallelization and implementation aspects of PDE based image processing models for large cluster environments with distributed memory. As an example we focus on nonlinear isotropic diffusion filtering which we discretize by means of an additive operator splitting (AOS). We start by decomposing the algorithm into small modules that shall be parallelized separately. For thi...
متن کاملDeterministic Importance Sampling with Error Diffusion
This paper proposes a deterministic importance sampling algorithm that is based on the recognition that deltasigma modulation is equivalent to importance sampling. We propose a generalization for delta-sigma modulation in arbitrary dimensions, taking care of the curse of dimensionality as well. Unlike previous sampling techniques that transform low-discrepancy and highly stratified samples in t...
متن کامل