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By Don S. Lemons
Striving to discover the topic in as basic a fashion as attainable, this ebook is helping readers comprehend the elusive notion of entropy. leading edge elements of the e-book contain the development of statistical entropy from wanted houses, the derivation of the entropy of classical structures from simply 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 routines try out readers' realizing. The publication additionally incorporates a word list giving definitions for all crucial phrases, a time line displaying very important advancements, and checklist of books for extra research. it's an amazing complement to undergraduate classes in physics, engineering, chemistry and mathematics.
Focuses on foundations and illustrative examples to aid readers comprehend the foundation and reasons of the concept that of entropy
Treats entropy throughout a variety of subject matters, from thermodynamics, classical and quantum statistical mechanics, and data theory
Gives multiplied derivations, taking readers via each step-by-step
Read or Download A Student's Guide to Entropy PDF
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Extra resources for A Student's Guide to Entropy
Example text
However, since the number of particles N in a closed system is conserved, its macrostates are a function only of E and V. 12) can be expressed as S ( E, V , N ) = c ( N ) + k Ω ( E, V , N ) . 17) Thus, once we determine the multiplicity function Ω ( E, V , N ) and, by requiring additivity, the “constant” c ( N ), we know the entropy function S ( E, V , N ) . And once we know the entropy function we know, through its derivatives, the system’s equations of state. 176 on Wed Oct 15 17:29:50 BST 2014.
Still, the fundamental postulate has not been derived from yet more fundamental principles and cannot be directly tested. Instead, one adopts the postulate of equiprobable microstates as a plausible hypothesis from which one derives consequences that can be tested. Thermodynamic systems We call a system to which the fundamental postulate applies a thermodynamic system. In general, thermodynamic systems are equilibrium or steady-state systems in the sense that they can be described in term of thermodynamic variables that do not change with time as long as the environment of the system does not change in time.
29) P ⎛ ∂S ⎞ ⎜⎝ ⎟ = . 176 on Wed Oct 15 17:28:53 BST 2014. 30). 30) show us how, by taking derivatives of the entropy function S (E,V), to derive luid equations of state that observe the irst and second laws of thermodynamics. 32) where R is the gas constant, CV is the, presumed constant, heat capacity at constant volume, and c is a constant independent of all thermodynamic state variables. Taking the partial derivatives of S(E,V) we ind that ( ∂ ∂E )V = CV E and ( ∂ ∂V )E = nR V . 33) E = CVT.