From Newton to Boltzmann
Isabelle Gallagher
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at 250 WPM2h 15m
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From Newton to Boltzmann
Published
2013
Publisher
European Mathematical Society
Pages
135
ISBN-13
9783037191293
ISBN-10
3037191295
Description
"The question addressed in this monograph is the relationship between the time-reversible Newton dynamics for a system of particles interacting via elastic collisions, and the irreversible Boltzmann dynamics which gives a statistical description of the collision mechanism. Two types of elastic collisions are considered: hard spheres, and compactly supported potentials. Following the steps suggested by Lanford in 1974, we describe the transition from Newton to Boltzmann by proving a rigorous convergence result in short time, as the number of particles tends to infinity and their size simultaneously goes to zero, in the Boltzmann-Grad scaling. Boltzmann's kinetic theory rests on the assumption that particle independence is propagated by the dynamics. This assumption is central to the issue of appearance of irreversibility. For finite numbers of particles, correlations are generated by collisions. The convergence proof establishes that for initially independent configurations, independence is statistically recovered in the limit. This book is intended for mathematicians working in the fields of partial differential equations and mathematical physics, and is accessible to graduate students with a background in analysis." --
Subjects
The Art of War
Transport phenomena
Transport processes and separation process principles
Advances in heat transfer
Fundamentals of transport phenomena
Momentum, heat, and mass transfer
Frequently Asked Questions
How many pages are in From Newton to Boltzmann?
This edition of From Newton to Boltzmann has approximately 135 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read From Newton to Boltzmann?
For most readers, From Newton to Boltzmann typically takes between 2h 49m and 1h 53m to complete. This is based on the book's length of approximately 33,750 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 2h 15m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 5 days • Estimated word count: 33,750 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of From Newton to Boltzmann?
The estimated word count for From Newton to Boltzmann is approximately 33,750 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of From Newton to Boltzmann?
From Newton to Boltzmann was written by Isabelle Gallagher.
When was From Newton to Boltzmann published?
The publication date for this specific edition is 2013. The original work may have been published on a different date.