Big Chemical Encyclopedia

Chemical substances, components, reactions, process design ...

Articles Figures Tables About

Introduction The Merger of Classical Mechanics and Probability Theory

1 Introduction The Merger of Classical Mechanics and Probability Theory [Pg.33]

it should be clear that we have introduced the word average in our discussion, and certainly we have used it rather loosely. Averages [Pg.33]

Copyright 2005 by The McGraw-Hill Companies, Inc. Click here for terms of use. [Pg.33]

The merger of probability theory and classical mechanics is accomplished by the so-called Liouville equation, which is considered to he the fiindamental equation of statistical mechanics. From this equation we can obtain a comprehensive description of both the equilibrium and nonequilibrium behavior of matter. In this chapter, we will derive the famous Liouville equation from a simple differential mass balance approach. In this case, the mass will represent a S3rstem of points in a multidimensional space. Each point contains all the information about the system at a particular time. The Liouville equation obtained here will be called upon in each of the subsequent chapters in our quest to describe the observed behavior and properties of any particular system. [Pg.34]




SEARCH



And probability

Classical and

Classical mechanical

Classical mechanics

Classical theories

Introduction and Theory

Introduction mechanism

Mechanical theory

Mechanics Theory

Mechanism and theory

Mechanism theory

Probability theory

The classical theory

© 2024 chempedia.info