By Arieh Ben-Naim
The significant message of this ebook is that thermodynamics and statistical mechanics will reap the benefits of exchanging the unlucky, deceptive and mysterious time period entropy with a extra established, significant and applicable time period reminiscent of info, lacking info or uncertainty. This alternative could facilitate the translation of the driver of many strategies by way of informational adjustments and dispel the secret that has continually enshrouded entropy.
it's been one hundred forty years on the grounds that Clausius coined the time period entropy ; virtually 50 years when you consider that Shannon built the mathematical concept of data hence renamed entropy. during this publication, the writer advocates exchanging entropy via details, a time period that has develop into time-honored in lots of branches of technological know-how.
the writer additionally takes a brand new and impressive method of thermodynamics and statistical mechanics. info is used not just as a device for predicting distributions yet because the basic cornerstone thought of thermodynamics, held before via the time period entropy.
the themes coated comprise the basics of chance and knowledge thought; the overall proposal of knowledge in addition to the actual proposal of knowledge as utilized in thermodynamics; the re-derivation of the Sackur Tetrode equation for the entropy of a terrific fuel from merely informational arguments; the elemental formalism of statistical mechanics; and lots of examples of straightforward procedures the driver for that is analyzed when it comes to info.
- Elements of likelihood thought;
- Elements of knowledge idea;
- Transition from the overall MI to the Thermodynamic MI;
- The constitution of the principles of Statistical Thermodynamics;
- Some basic purposes.
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Additional info for A farewell to entropy: statistical thermodynamics based on information: S=logW
In summary, we have seen that by employing adiabatic walls and by measuring only mechanical work, the energy of any thermodynamic system, relative to an appropriate reference state, can be measured. 1-8 QUANTITATIVE DEFINITION OF HEAT-UNITS The fact that the energy difference of any two equilibrium states is measurable provides us directly with a quantitative definition of the heat: The heat flux to a system in any process ( at constant mole numbers) is Quantitative Definition of Heat- Units 19 simply the difference in internal energy between the final and initial states, diminished by the work done in that process.
Thus the temperature is postulated to be nonnegative. • , N,. 9) ... 9 are alternative forms of the fundamental relation, and each contains all thermodynamic information about the system. We note that the extensivity of the entropy permits us to scale the properties of a system of N moles from the properties of a system of 1 mole. The fundamental equation is subject to the identity S( V, V, N 1 , N2 , ... , N,) = NS( U/N, V/N, N 1/N, ... Ek Nk. 11) But V / N is the energy per mole, which we denote by u.
The energy of a particular system, of one mole, is given by U= AP 2 V where A is a positive constant of dimensions [P)- 1• Find the equation of the adiabats in the P-V plane. 8-6. well as P and V). 8-7. Two moles of a particular single-component system are found to have a dependence of internal energy U on pressure and volume given by U = APV 2 (for N = 2) Note that doubling the system doubles the volume, energy, and mole number, but leaves the pressure unaltered. Write the complete dependence of U on P, V, and N for arbitrary mole number.
A farewell to entropy: statistical thermodynamics based on information: S=logW by Arieh Ben-Naim