Brownian motion model of nanoparticle considering nonrigidity of matter-a systems modeling approach

Sharma N.N.; Mittal R.K.

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Brownian motion model of nanoparticle considering nonrigidity of matter-a systems modeling approach

机译：考虑物质非刚性的纳米粒子布朗运动模型-系统建模方法

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The variance models for Brownian motion are developed either using the diffusion equation method or by using spectral analysis with a Langevin equation. The diffusion method approach does not consider properties of matter like inertia, elasticity, and dissipative capabilities whereas in the Langevin equation approach, although based on the property concept, the matter is considered rigid and there are no attempts of inclusion of elastic and other properties to study the Brownian motion. The concept of absoluteness (in rigidity) is debatable in nanodomains, and instead an analytical model for Brownian motion of nanosize particles has been obtained and explored in this work using the Langevin equation considering nonrigidity and dissipative capabilities of matter.

机译：布朗运动的方差模型是使用扩散方程方法或通过使用带有Langevin方程的频谱分析来开发的。扩散方法不考虑物质的性质，例如惯性，弹性和耗散能力，而在兰格文方程法中，尽管基于性质概念，但物质被认为是刚性的，没有尝试将弹性和其他性质包含在内研究布朗运动。绝对性（刚性）的概念在纳米域中是有争议的，而在这项工作中，考虑到物质的非刚性和耗散能力，使用Langevin方程获得并探索了纳米粒子布朗运动的解析模型。

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《IEEE transactions on nanotechnology》 |2005年第2期|p.180-186|共7页
作者
Sharma N.N.; Mittal R.K.;
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正文语种 eng
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Brownian motion; elasticity; nanoparticles; Brownian motion model; Langevin equation; diffusion equation method; dissipative capabilities; elasticity; inertia; nanodomains; nanoparticle; nonrigidity; spectral analysis; Brownian motion; nanoparticle; system modeling;

机译：布朗运动;弹性;纳米颗粒;布朗运动模型;Langevin方程;扩散方程法;耗散能力;弹性;惯性;纳米域;纳米颗粒;非刚度;光谱分析;布朗运动;纳米颗粒;系统建模;

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2. Modeling fractional stochastic systems as non-random fractional dynamics driven by Brownian motions [J] . Jumarie Guy Applied Mathematical Modelling . 2008,第5期

机译：将分数随机系统建模为布朗运动驱动的非随机分数动力学
3. One-dimensional Brownian motion of charged nanoparticles along microtubules: a model system for weak binding interactions. [J] . Minoura I, Katayama E, Sekimoto K, Biophysical Journal . 2010,第8期

机译：带电纳米粒子沿微管的一维布朗运动：弱结合相互作用的模型系统。
4. Mathematical modeling and computer simulation of Brownian motion and hybridization of nanoparticle-bioprobe-polymer complexes in the low concentration limit [C] . Arpad Toth, Daniel Banky, Vince Grolmusz NSTI-Nanotech 2010;NSTI nanotechnology conference and expo;Bio Nanotech 2010;NSTI bio nano conference and expo;Microtech 2010;Microtechnology conference and expo;WCM 2010;Workshop on compact modeling;NSTI nanotech ventures;TechConnect summit;Clean technology . 2010

机译：低浓度极限下布朗运动和纳米粒子-生物探针-聚合物复合物杂交的数学建模和计算机模拟
5. Polynomial Models in Nonrigid Motion Estimation and Analysis. [D] . Liu, Wei. 2011

机译：非刚性运动估计和分析中的多项式模型。
6. One-Dimensional Brownian Motion of Charged Nanoparticles along Microtubules: A Model System for Weak Binding Interactions [O] . Itsushi Minoura, Eisaku Katayama, Ken Sekimoto, 2010

机译：带电纳米粒子沿微管的一维布朗运动：弱结合相互作用的模型系统。
7. One-Dimensional Brownian Motion of Charged Nanoparticles along Microtubules: A Model System for Weak Binding Interactions [O] . Minoura, Itsushi, Katayama, Eisaku, Sekimoto, Ken, 2010

机译：带电纳米粒子沿微管的一维布朗运动：弱结合相互作用的模型系统。

Brownian motion model of nanoparticle considering nonrigidity of matter-a systems modeling approach

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