A Farewell to Entropy: Statistical Thermodynamics Based on Information : SWorld Scientific, 2008 - 384 ページ The principal message of this book is that thermodynamics and statistical mechanics will benefit from replacing the unfortunate, misleading and mysterious term ?entropy? with a more familiar, meaningful and appropriate term such as information, missing information or uncertainty. This replacement would facilitate the interpretation of the ?driving force? of many processes in terms of informational changes and dispel the mystery that has always enshrouded entropy.It has been 140 years since Clausius coined the term ?entropy?; almost 50 years since Shannon developed the mathematical theory of ?information? ? subsequently renamed ?entropy.? In this book, the author advocates replacing ?entropy? by ?information,? a term that has become widely used in many branches of science.The author also takes a new and bold approach to thermodynamics and statistical mechanics. Information is used not only as a tool for predicting distributions but as the fundamental cornerstone concept of thermodynamics, held until now by the term ?entropy.? The topics covered include the fundamentals of probability and information theory; the general concept of information as well as the particular concept of information as applied in thermodynamics; the re-derivation of the Sackur?Tetrode equation for the entropy of an ideal gas from purely informational arguments; the fundamental formalism of statistical mechanics; and many examples of simple processes the ?driving force? for which is analyzed in terms of information. |
目次
1 Introduction | 1 |
2 Elements of Probability Theory | 33 |
3 Elements of Information Theory | 103 |
4 Transition from the General MI to the Thermodynamic MI | 177 |
5 The Structure of the Foundations of Statistical Thermodynamics | 211 |
6 Some Simple Applications | 251 |
Appendices | 317 |
| 373 | |
| 381 | |
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多く使われている語句
Appendix assume average number binary questions Boltzmann Boltzmann constant calculate Chapter classical Clausius Clearly coin compartment concept conditional probability constant correlation deassimilation defined definition denoted density discuss disorder elementary events ensemble entropy of mixing equally probable equation equilibrium example expansion Figure gases Gibbs given Helmholtz energy Hence ideal gas identical identical particles increase independent indistinguishable information theory initial interactions interpretation irreversible isolated system Jaynes labeled larger ligands locational log Pi log2 macroscopic maximum measure of information missing information molecules mutual information Note number of configurations number of particles number of questions obtain occurred outcomes partition function prisoners probability distribution probability of finding problem quantum mechanical random variables referred result Sackur-Tetrode equation Second Law Section Shannon simple specific spontaneous statistical mechanics temperature term theorem thermodynamic entropy thermodynamic system tion total number uncertainty velocity volume warden zero