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EINSTEIN–SMOLUCHOWSKI THEORY

Robert M. Mazo

in Brownian Motion: Fluctuations, Dynamics, and Applications

Published in print:
2008
Published Online:
January 2010
ISBN:
9780199556441
eISBN:
9780191705625
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199556441.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

This chapter begins the study of the physical study of Brownian motion. The theory of Smoluchowski is based on a kinetic model of colliding spheres, at first for an ambient dilute gaseous medium. ... More


Modals: Meaning Categories?

Valentine Hacquard

in Mood, Aspect, Modality Revisited: New Answers to Old Questions

Published in print:
2017
Published Online:
September 2017
ISBN:
9780226363523
eISBN:
9780226363660
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226363660.003.0002
Subject:
Linguistics, Semantics and Pragmatics

This chapter starts with the observation that the words used to express root and epistemic modality in many different languages systematically differ in their interactions with tense and aspect. ... More


The Allan variance and the rms time error

Robert James Matthys

in Accurate Clock Pendulums

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198529712
eISBN:
9780191712791
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529712.003.0008
Subject:
Physics, History of Physics

The traditional plot of a clock's time error versus time is far superior to the Allan variance for showing a pendulum clock's time performance. The Allan variance is admittedly a universal and ... More


Overview of Some Non –Neural Network Methods for Fitting Ab Initio Potential-Energy Databases

Lionel Raff, Ranga Komanduri, Martin Hagan, and Satish Bukkapatnam

in Neural Networks in Chemical Reaction Dynamics

Published in print:
2012
Published Online:
November 2020
ISBN:
9780199765652
eISBN:
9780197563113
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199765652.003.0006
Subject:
Chemistry, Physical Chemistry

In this chapter, we describe results obtained by five methods that have been employed to fit ab initio potential-energy. These methods are (i) moving or modified Shepard interpolation (MSI), (ii) ... More


Configuration Space Sampling Methods

Lionel Raff, Ranga Komanduri, Martin Hagan, and Satish Bukkapatnam

in Neural Networks in Chemical Reaction Dynamics

Published in print:
2012
Published Online:
November 2020
ISBN:
9780199765652
eISBN:
9780197563113
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199765652.003.0008
Subject:
Chemistry, Physical Chemistry

In order to achieve the maximum accuracy in characterizing the PES and the associated force fields for an MD investigation, careful preparation of the database is an essential step in the process. ... More


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