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Mathematics - Applications | Entropy and Energy - A Universal Competition

Entropy and Energy

A Universal Competition

Müller, Ingo, Weiss, Wolf

2005, XII, 273 p. 76 illus. Also available online.

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"Entropy and Energy- a Universal Competition" is a students textbook as well as a scientific monograph. The concepts of entropy and energy embody the effects of random walk in a body and of deterministic strife respectively, and are therefore often in competition. The book gives instructive examples from elementary thermodynamics and physico-chemistry and extrapolates the notion to non-standard thermodynamic subjects like shape memory, dissipation of the earth's atmosphere, and sociology. The works of the thermodynamic pioneers are presented, in particular Clausius, Carathéodory, Boltzmann, Gibbs, and Planck. The laws of thermodynamics and their limitations are discussed; also the pertinacious Gibbs paradox. The reader has numerous possibilities to influence the programs and thus develop an understanding for the thermodynamic principles.

Content Level » Graduate

Keywords » chemical reactions - distribution - entropy - gravitation - linear optimization - phase Transition - statistical thermodynamics - thermodynamics

Related subjects » Applications - Classical Continuum Physics - Complexity - Engineering - Mechanical Engineering

Table of contents / Errata 

Origin of entropy in the work of Clausius.- Entropy in the work of Carathéodory. Absolute temperature.- Entropy in the work of Boltzmann.- Enthalpy and equations of state.- Gases and Rubber.- Statistical thermodynamics.- Entropy and energy in competition.- Planetary atmospheres.- Entropy of mixing. Osmosis.- Phase transition.- Phase diagrams.- Chemical reactions.- Shape memory alloys.- The third law of thermodynamics. Capitulation of entropy.- The zeroth law of thermodynamics — kinetic and thermodynamic temperatures.- Gibbs paradox and degenerate gases.- Thermodynamics of irreversible processes (TIP).- Radiation thermodynamics.- Dissipative entropy source of the earth.- Socio-thermodynamics — integration and segregation in a population.- History of thermodynamics.- Appendix. Equation of balance.- References and annotations.

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