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By David H Trevena, David H. Trevena
Thirty years educating event were condensed into this concise introductory ebook on Statistical Mechanics. excellent for moment and 3rd 12 months undergraduates in physics, utilized arithmetic, actual chemistry, chemical engineering, metallurgy, fabrics technology and polymer technological know-how.
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Extra resources for Statistical Mechanics: An Introduction
Sample text
5] Closed and o p e n s y s t e m s ; or and t h e chemical p o t e n t i a l 43 If Τ is large the number of available energy states becomes very large and the particles are spread over this larger number of states. So now gt/Nt » 1. s. may be ignored. 13a). By the same argument the BE result for bosons also reduces to this classical result at high temperatures. 5 C L O S E D A N D O P E N S Y S T E M S ; a A N D T H E C H E M I C A L POTENTIAL Consider a system ( t h a t is, a sample of m a t t e r ) consisting of an assembly of particles.
11) This is the Fermi-Dirac distribution function, and it is the (equilibrium) average number of particles per energy state, fk does not depend on the (arbitrary) value chosen for gk, which is a satisfactory feature; it is a function of the energy only. 9b) ΙηΩβΕ = Y^iiNk + gk)HNk + gk) - Nk \nNk - gk\ngk]. 10) we get In fNk-\-gk\ . + Psk = 0. 12) This is the Bose-Einstein distribution function. 4 T H E D I L U T E G A S : T H E C L A S S I C A L L I M I T We now consider the case of a 'dilute' gas, by which we mean one for which Nk « gk for all values of k; in other words the energy states are very thinly populated.
S. is approximately equal to