Quantitative Evaluation of Transport Properties of SOFC Porous Anode by Random Walk Process

2019 ◽  
Vol 25 (2) ◽  
pp. 1887-1896 ◽  
Author(s):  
Masashi Kishimoto ◽  
Hiroshi Iwai ◽  
Motohiro Saito ◽  
Hideo Yoshida
Keyword(s):  
Random Walk ◽  
Transport Properties ◽  
Quantitative Evaluation ◽  
Random Walk Process ◽  
Porous Anode

One-step random-walk process of nanoparticles in cement-based materials

2021 ◽  
Vol 28 (6) ◽  
pp. 1679-1691
Author(s):  
Ali Bahari ◽  
Aref Sadeghi-Nik ◽  
Elena Cerro-Prada ◽  
Adel Sadeghi-Nik ◽  
Mandana Roodbari ◽  
...  
Keyword(s):  
Random Walk ◽  
Random Walk Process ◽  
Cement Based Materials ◽  
One Step

RANDOM WALK IN SHORTCUT MODELS

2008 ◽  
Vol 22 (10) ◽  
pp. 727-733 ◽  
Author(s):  
O. SHANKER
Keyword(s):  
Fractal Dimension ◽  
Random Walk ◽  
Drift Velocity ◽  
System Size ◽  
Random Walk Process ◽  
Range Analysis ◽  
Sharp Transition ◽  
Rescaled Range ◽  
Rescaled Range Analysis

Earlier studies of a parametrized class of models whose fractal dimension transitions from one to two indicated that the transition occurs infinitely sharply at the parameter value p=0, as the system size increases to infinity. We study a random walk process which is sensitive to dimension, and we find the same sharp transition at p=0. We use the tool of rescaled range analysis to analyze the drift velocity of the random walk process.

scholarly journals Extracting Network Structure for International and Malaysia Website via Random Walk

2019 ◽  
Vol 12 ◽  
pp. 1-10
Author(s):  
Kar Tim Chan
Keyword(s):  
Random Walk ◽  
Retrieval System ◽  
Information Retrieval System ◽  
Information Network ◽  
Random Walk Process ◽  
Complex Information ◽  
The World ◽  
Centrality Analysis ◽  
Domain Level ◽  
The Web

World Wide Web is an information retrieval system accessible via the Internet. Since all the web resources and documents are interlinks with hypertext links, it formed a huge and complex information network. Besides information, the web is also a primary tool for commercial, entertainment and connecting people around the world. Hence, studying its network topology will give us a better understanding of the sociology of content on the web as well as the possibility of predicting new emerging phenomena. In this paper, we construct networks by using random walk process that traverses the web at two popular websites, namely google.com (global) and mudah.my (local). We perform measurement such as degree distribution, diameter and average path length on the networks to determine various structural properties. We also analyse the network at the domain level to identify some top-level domains appearing in both networks in order to understand the connectivity of the web in different regions. Using centrality analysis, we also reveal some important and popular websites and domain from the networks.

scholarly journals Comb Model: Non-Markovian versus Markovian

2019 ◽  
Vol 3 (4) ◽  
pp. 54 ◽  
Author(s):  
Alexander Iomin ◽  
Vicenç Méndez ◽  
Werner Horsthemke
Keyword(s):  
Wave Function ◽  
Random Walk ◽  
Transport Properties ◽  
Power Law ◽  
Continuous Time ◽  
Schrodinger Equation ◽  
Quantum Particle ◽  
Continuous Time Random Walk ◽  
Slow Diffusion ◽  
Branched Structures

Combs are a simple caricature of various types of natural branched structures, which belong to the category of loopless graphs and consist of a backbone and branches. We study two generalizations of comb models and present a generic method to obtain their transport properties. The first is a continuous time random walk on a many dimensional m + n comb, where m and n are the dimensions of the backbone and branches, respectively. We observe subdiffusion, ultra-slow diffusion and random localization as a function of n. The second deals with a quantum particle in the 1 + 1 comb. It turns out that the comb geometry leads to a power-law relaxation, described by a wave function in the framework of the Schrödinger equation.

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