Entropy and Information

by ; ;
Format: Hardcover
Pub. Date: 2009-09-03
Publisher(s): Birkhauser
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Summary

This treasure of popular science by the Russian biophysicist Mikhail V. Volkenstein is at last, more than twenty years after its appearance in Russian, available in English translation.As its title Entropy and Information suggests, the book deals with the thermodynamical concept of entropy and its interpretation in terms of information theory. The author shows how entropy is not to be considered a mere shadow of the central physical concept of energy, but more appropriately as a leading player in all of the major natural processes: physical, chemical, biological, evolutionary, and even cultural.The theory of entropy is thoroughly developed from its beginnings in the foundational work of Sadi Carnot and Clausius in the context of heat engines, including expositions of much of the necessary physics and mathematics, and illustrations from everyday life of the importance of entropy.The author then turns to Boltzmann's epoch-making formula relating the entropy of a system directly to the degree of disorder of the system, and to statistical physics as created by Boltzmann and Maxwell---and here again the necessary elements of probability and statistics are expounded. It is shown, in particular, that the temperature of an object is essentially just a measure of the mean square speed of its molecules.''Fluctuations" in a system are introduced and used to explain why the sky is blue, and how, perhaps, the universe came to be so ordered. Whether statistical physics reduces ultimately to pure mechanics, as ''Laplace's demon" would have it, is also discussed.The final three chapters concentrate on open systems, that is, systems which exchange energy or matter with their surroundings---first linear systems close to equilibrium, and then non-linear systems far from equilibrium. Here entropy, as it figures in the theory of such systems developed by Prigogine and others, affords explanations of the mechanism of division of cells, the process of aging in organisms, and periodic chemical reactions, among other phenomena.Finally, information theory is developed---again from first principles---and the entropy of a system characterized as absence of information about the system. In the final chapter, perhaps the pièce de résistance of the work, the author examines the thermodynamics of living organisms in the context of biological evolution. Here the ''value of biological information" is discussed, linked to the concepts of complexity and irreplaceability. The chapter culminates in a fascinating discussion of the significance of these concepts, all centered on entropy, for human culture, with many references to particular writers and artists.The book is recommended reading for all interested in physics, information theory, chemistry, biology, as well as literature and art.

Author Biography

Mikhail Wladimirowitsch Volkenstein (1912-1992), russian bio-physicist, was director of the Institute of Molecur Biology of the Russian Academy of Sciences. Research interests: Quantum Biophysics, Biopolymers, quantum-mechanical models of encyme catalysis, Fermi-resonance within Peptid-compounds. Volkenstein was born 1912 and died in 1992.

Table of Contents

About the Authorp. ix
Prefacep. 1
"Reflections on the motive power of fire . . ."p. 3
Sadi Carnotp. 3
Caloricp. 4
The irreversibility of heat processesp. 6
What did Carnot do?p. 9
The Carnot cyclep. 11
Thermodynamic temperaturep. 16
The laws of thermodynamicsp. 19
Lomonosov and the conservation lawsp. 19
The law of conservation of energyp. 21
The second lawp. 23
The pressure of lightp. 24
Entropyp. 25
The logarithm and exponential functionsp. 27
Calculation of entropyp. 30
Measuring entropy experimentallyp. 34
Irreversible processesp. 37
Entropy and free energyp. 41
Obtaining useful workp. 41
Equilibrium conditionsp. 43
A chemical reactionp. 45
Melting of crystals and evaporation of liquidsp. 48
Why does alcohol dissolve in water yet gasoline not do so?p. 49
Hydrophobic forces and the albumin globulep. 51
What do rubber and an ideal gas have in common?p. 53
Why do we heat a room?p. 57
"The mistress of the world and her shadow"p. 59
Why was Emden right?p. 60
Entropy and probabilityp. 63
Boltzmann's formulap. 63
Stirling's formulap. 66
The meaning of Boltzmann's formulap. 68
The fusion of a crystal and the evaporation of a liquidp. 71
Entropic forcesp. 72
Entropy of equilibrium statesp. 76
A little quantum mechanicsp. 78
Gibbs' paradoxp. 80
Nernst's theoremp. 81
Statistics and mechanicsp. 85
The distribution of velocities, and temperaturep. 85
The barometric formula and the "gravitational perpetuum mobile"p. 90
Fluctuationsp. 93
Why is the sky blue?p. 98
The age of Darwinp. 100
Laplace's demon and Sinai's billiardp. 103
The fate of the universep. 107
Open systemsp. 113
The production and flow of entropyp. 113
The dissipation functionp. 116
An astronaut lives on negative entropyp. 119
Why do cells divide?p. 124
Far from equilibriump. 125
The Belousov-Zhabotinskii reactionp. 131
Organisms as dissipative systemsp. 133
The three stages of thermodynamicsp. 138
Informationp. 141
Information and probabilityp. 141
Informational entropyp. 145
Information and entropyp. 151
Maxwell's demonp. 154
Obtaining and creating informationp. 157
The value of informationp. 160
Entropy, information, lifep. 165
The thermodynamics of living organismsp. 165
Biological evolution, entropy, and informationp. 169
The value of biological informationp. 174
Complexity and irreplaceabilityp. 181
Complexity and Gödel's theoremp. 185
Information and artistic creationp. 186
Indexp. 197
Table of Contents provided by Ingram. All Rights Reserved.

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