By Don S. Lemons
Striving to discover the topic in as basic a fashion as attainable, this booklet is helping readers comprehend the elusive idea of entropy. cutting edge points of the booklet comprise the development of statistical entropy from wanted homes, the derivation of the entropy of classical platforms from basically classical assumptions, and a statistical thermodynamics method of definitely the right Fermi and perfect Bose gases. Derivations are labored via step by step and critical functions are highlighted in over 20 labored examples. round 50 end-of-chapter workouts attempt readers' figuring out. The publication additionally contains a word list giving definitions for all crucial phrases, a time line displaying very important advancements, and checklist of books for additional examine. it really is an excellent complement to undergraduate classes in physics, engineering, chemistry and mathematics.
Focuses on foundations and illustrative examples to assist readers comprehend the beginning and reasons of the concept that of entropy
Treats entropy throughout more than a few subject matters, from thermodynamics, classical and quantum statistical mechanics, and knowledge theory
Gives improved derivations, taking readers via each step-by-step
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Additional info for A Student's Guide to Entropy
4, in which each part is itself an isolated system, denoted A and B, is additive in the sense that the entropy of the composite system is the sum of the entropy of its parts. 1) where SA+B is the entropy of the composite system, SA is the entropy of subsystem A, and SB is the entropy of sub-system B. 5, on the additivity of the increments of thermodynamic entropy. 1) allows for sub-systems that, in general, may be quite different from one another as in, for example, a system composed of a bottle of helium gas in one corner of a laboratory and a crystal of salt in another.
Also P > 0 and V > 0. 176 on Wed Oct 15 17:28:53 BST 2014. 1 Boltzmann and atoms The thermodynamic view of a physical system is the “black box” view. We monitor the input and output of a black box and measure its supericial characteristics with the human-sized instruments available to us: pressure gauges, thermometers, and meter sticks. The laws of thermodynamics govern the relations among these measurements. For instance, the zeroth law of thermodynamics requires that two black boxes each in thermal equilibrium with a third are in thermal equilibrium with each other, the irst law that the energy of an isolated black box can never change, and the second law that the entropy of an isolated black box can never decrease.
Furthermore, reference microstates in classical statistical mechanics are necessarily arbitrary and so classical macrostates are also necessarily arbitrary. Only the introduction of quantum physics allows us to uniquely identify microstates. But, of course, Boltzmann and the other classical statistical mechanicians were unaware of the possibilities inherent in quantum physics. What Boltzmann did know was how to arbitrarily discretize space in such a way as to construct the arbitrary microstates we call classical microstates.
A Student's Guide to Entropy by Don S. Lemons