Statistical PhysicsElementary college physics course for students majoring in science and engineering. |
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Page 156
... Q. Hence ( 37 ) implies that ΙΔ aß | AB | = | 3B Q | < B . ( 38 ) Since T = ( kẞ ) -1 or In T = -ln ẞ - Ink , it follows correspondingly that ( AT / T ) = ( AB / B ) so that ( 38 ) is also equivalent to ― — | AT | < T . ( 39 ) We shall ...
... Q. Hence ( 37 ) implies that ΙΔ aß | AB | = | 3B Q | < B . ( 38 ) Since T = ( kẞ ) -1 or In T = -ln ẞ - Ink , it follows correspondingly that ( AT / T ) = ( AB / B ) so that ( 38 ) is also equivalent to ― — | AT | < T . ( 39 ) We shall ...
Page 274
... ln = a In JE dE + Σ 7 1n Ω дха a = 1 dxa . ( 28 ) The relation ( 13 ) was derived by considering a change of one ... Q = B ( dĒ – đW ) = B đQ ln - ( 31 ) since ( dĒ – đW ) is simply the infinitesimal heat đQ absorbed by the system ...
... ln = a In JE dE + Σ 7 1n Ω дха a = 1 dxa . ( 28 ) The relation ( 13 ) was derived by considering a change of one ... Q = B ( dĒ – đW ) = B đQ ln - ( 31 ) since ( dĒ – đW ) is simply the infinitesimal heat đQ absorbed by the system ...
Page 351
... q . — ( 2 ) The particular value n = ñ where P has its maximum is then deter- mined by the condition dP = 0 dn or ... ln m ! dm In m . ( 4 ) Differentiation of ( 2 ) with respect to n then yields to good approxi- mation d In P dn = −ln ...
... q . — ( 2 ) The particular value n = ñ where P has its maximum is then deter- mined by the condition dP = 0 dn or ... ln m ! dm In m . ( 4 ) Differentiation of ( 2 ) with respect to n then yields to good approxi- mation d In P dn = −ln ...
Contents
Characteristic Features of Macroscopic Systems | 1 |
Basic Probability Concepts | 55 |
Thermal Interaction | 141 |
Copyright | |
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absolute temperature absorbed accessible approximation assume atoms average calculate classical collision Consider constant container cules definition denote discussion distribution electron ensemble entropy equal equilibrium situation equipartition theorem example expression external parameters fluctuations fluid function Gibbs free energy given heat capacity heat Q heat reservoir Hence ideal gas initial internal energy isolated system kinetic energy large number left half liquid macroscopic system macrostate magnetic field magnetic moment magnitude mass maximum mean energy mean number mean pressure mean value measured mole molecular momentum n₁ number of molecules occur oscillator particle particular phase phase space piston plane Poisson distribution position possible values Prob probability P(n quantity quantum numbers quasi-static random relation result simply solid specific heat statistical statistical ensemble statistically independent Suppose thermal contact thermally insulated thermometer tion total energy total number unit volume velocity