scholarly journals Asymptotics for scaled Kramers–Smoluchowski equations in several dimensions with general potentials

2019 ◽  
Vol 59 (1) ◽  
Author(s):  
Insuk Seo ◽  
Peyam Tabrizian
Keyword(s):  
Smoluchowski Equations

Preparation, Electronic Structure and Optical Properties of the Electrochromic Thin Films

2004 ◽  
Vol 9 (4) ◽  
pp. 363-372 ◽  
Author(s):  
T. Lukaszewicz ◽  
A. Ravinski ◽  
I. Makoed
Keyword(s):  
Electrochromic Device ◽  
Orbital Method ◽  
Optical Parameters ◽  
Full Potential ◽  
Electrochromic Devices ◽  
Energy Bands ◽  
Conducting Film ◽  
Recombination Probability ◽  
Transparent Conducting ◽  
Smoluchowski Equations

A new multilayer electrochromic device has been constructed according to the following pattern: glass1/ITO/WO3/gel electrolyte/BP/ITO/glass2, where ITO is a transparent conducting film made of indium and tin oxide and with the surface resistance equal 8–10 Ω/cm2 . The electrochromic devices obtained in the research are characterized by great (considerable) transmittance variation between coloration and bleaching state (25–40% at applied voltage of 1.5 to 3 V), and also high coloration efficiency (above 100 cm2 /C). Selfconsistent energy bands, dielectric permittivity and optical parameters are calculated using a full-potential linear muffin-tin orbital method. The numerical solution of the Debye-Smoluchowski equations is developed for simulating recombination probability of Li+ ions in amorphous electrolyte.

Mathematical Methods for Solving Multi-state Smoluchowski Equations

2021 ◽  
pp. 45-117
Author(s):  
Rajendran Saravanan ◽  
Aniruddha Chakraborty
Keyword(s):  
Mathematical Methods ◽  
Smoluchowski Equations

Numerical Solution of Generalized Smoluchowski Equations for Cylindrical Micelles

2018 ◽  
Vol 80 (5) ◽  
pp. 459-466 ◽  
Author(s):  
I. A. Babintsev ◽  
A. K. Shchekin ◽  
L. Ts. Adzhemyan
Keyword(s):  
Numerical Solution ◽  
Cylindrical Micelles ◽  
Smoluchowski Equations

An improved spectrophotometric method tests the Einstein–Smoluchowski equation: a revisit and update

2020 ◽  
Vol 22 (38) ◽  
pp. 21784-21792
Author(s):  
Jiangbo (Tim) Zhao ◽  
Cong Qi ◽  
Guangrui Li ◽  
Markus A. Schmidt
Keyword(s):  
Spectrophotometric Method ◽  
Smoluchowski Equation ◽  
Smoluchowski Equations

We develop a highly accessible and accurate spectrophotometric method, and identify shortcomings of the Einstein–Smoluchowski equations in solvent scattering predictions.

Asymptotics for Scaled Kramers--Smoluchowski Equations

2016 ◽  
Vol 48 (4) ◽  
pp. 2944-2961 ◽  
Author(s):  
Lawrence C. Evans ◽  
Peyam R. Tabrizian
Keyword(s):  
Smoluchowski Equations
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