By Arieh Ben-Naim
The valuable message of this e-book is that thermodynamics and statistical mechanics will make the most of changing the unlucky, deceptive and mysterious time period entropy with a extra known, significant and acceptable time period similar to details, lacking details or uncertainty. This substitute may facilitate the translation of the motive force of many techniques by way of informational adjustments and dispel the secret that has continually enshrouded entropy.
it's been one hundred forty years considering Clausius coined the time period entropy ; virtually 50 years given that Shannon built the mathematical concept of knowledge accordingly renamed entropy. during this ebook, the writer advocates exchanging entropy through details, a time period that has turn into universal in lots of branches of technology.
the writer additionally takes a brand new and impressive method of thermodynamics and statistical mechanics. details is used not just as a device for predicting distributions yet because the primary cornerstone notion of thermodynamics, held previously through the time period entropy.
the themes coated comprise the basics of likelihood and knowledge idea; the overall thought of data in addition to the actual idea of knowledge as utilized in thermodynamics; the re-derivation of the Sackur Tetrode equation for the entropy of an awesome fuel from in simple terms informational arguments; the basic formalism of statistical mechanics; and plenty of examples of straightforward approaches the driver for that is analyzed when it comes to info.
Contents: components of likelihood thought; parts of knowledge concept; Transition from the final MI to the Thermodynamic MI; The constitution of the principles of Statistical Thermodynamics; a few uncomplicated purposes.
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Extra info for A Farewell To Entropy: Statistical Thermodynamics Based On Information
And the tenth house costs one million dollars. Clearly, the two messages A and B carry the same information. The size of A is however much smaller than the size of B. Consider the next message: C: Each of the houses in this town costs one million dollars. Clearly, C contains more information than B. The message C tells us the price of more houses than the message B, yet it is much shorter than B (shorter in some sense that will be discussed in Chapter 3). Consider the next message: D: Each of the houses in this country costs one billion dollars.
At equilibrium, we shall have a uniform temperature of T = 225 K throughout the system. Clearly, heat or thermal energy is transferred from the hot to the cold gas. But can we understand the changes that occur in the system in terms of disorder? We know that temperature is associated with the distribution of molecular velocities. 9). The distribution is sharper for the lower temperature gas, and is more dispersed for the higher temperature gas. 9. The heat transfer that we observed experimentally is interpreted on a molecular level as the change in the distribution of molecular velocities.
9. Velocity distributions for a gas at diﬀerent temperatures. (a) The distributions corresponding to the left-hand side of Fig. 8. (b) The overall distribution of velocities, before and after the process of heat transfer. ch01 December 5, 2007 B534 Statistical Thermodynamics Based on Information 9in x 6in Introduction 15 distribution is more ordered or disordered? Can you tell in which distribution the spread of kinetic energy is more even, or over a larger range of velocities? To me, the ﬁnal distribution (the dashed curve) looks more ordered, and the distribution looks less spread out over the range of velocities.
A Farewell To Entropy: Statistical Thermodynamics Based On Information by Arieh Ben-Naim