Download A Student's Guide to Entropy by Don S. Lemons PDF

Mathematical Physics

By Don S. Lemons

Striving to discover the topic in as basic a way as attainable, this ebook is helping readers comprehend the elusive notion of entropy. cutting edge elements of the publication comprise the development of statistical entropy from wanted homes, the derivation of the entropy of classical structures from only classical assumptions, and a statistical thermodynamics method of the right Fermi and excellent Bose gases. Derivations are labored via step by step and demanding purposes are highlighted in over 20 labored examples. round 50 end-of-chapter workouts try readers' realizing. The booklet additionally encompasses a word list giving definitions for all crucial phrases, a time line displaying very important advancements, and record of books for extra examine. it truly is an excellent complement to undergraduate classes in physics, engineering, chemistry and mathematics.

Focuses on foundations and illustrative examples to assist readers comprehend the foundation and reasons of the concept that of entropy
Treats entropy throughout a number of themes, from thermodynamics, classical and quantum statistical mechanics, and data theory
Gives accelerated derivations, taking readers via each step-by-step

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Extra resources for A Student's Guide to Entropy

Sample text

Boltzmann’s method of discretizing phase space allowed him and will allow us to determine classical versions of statistical entropies from which it is possible to derive equations of state. Of course we will use S ( Ω ) c k Ω , in place of Boltzmann’s S ∝ ln Ω in order to ensure that the entropy is always an additive function of state variables. 1, a system with left and right, equalvolume chambers containing a total of N identical but classical, and so distinguishable, particles. Suppose this system is initialized in a macrostate in which all its particles are contained within its left chamber.

They describe, for instance, how the system changes when heated or cooled, when performing work or being worked upon. To summarize: The presumption of an isolated system allows us to determine the entropy function and once we know this function we need no longer maintain this presumption. The limits of classical statistical thermodynamics The arguments of this section do not allow us to determine the absolute entropy of any macrostate. An expression for absolute entropy is one that, given complete information about a particular macrostate, provides a determinate value of the entropy of that macrostate.

It would have been natural for Maxwell, Boltzmann, and other nineteenthcentury physicists to suppose that the invisible, sub-microscopic world of atoms and molecules is simply a smaller version of the visible, macroscopic world. Indeed, Boltzmann argued that the ultimate particles, atoms and molecules, are always distinguishable one from another. 176 on Wed Oct 15 17:29:50 BST 2014. 003 Cambridge Library Collection © Cambridge University Press, 2014 36 Statistical entropy container of helium gas, are just as distinguishable from each other as ball bearings and for the same reason, namely, that we can, at least according to the principles of classical physics, follow their trajectories with indeinite precision.

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