Statistical PhysicsElementary college physics course for students majoring in science and engineering. |
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Page 77
... number of moments pointing up can then be n = 0 , 1 , 2 , 3 , 4 . These numbers occur with probabilities P ( n ) ... mean number of moments pointing up is then 4 ñ = ΣP ( n ) n n = 0 = ( 1 × 0 ) + ( 1 × 1 ) + ( f % × 2 ) + ( 1 × 3 ) + ...
... number of moments pointing up can then be n = 0 , 1 , 2 , 3 , 4 . These numbers occur with probabilities P ( n ) ... mean number of moments pointing up is then 4 ñ = ΣP ( n ) n n = 0 = ( 1 × 0 ) + ( 1 × 1 ) + ( f % × 2 ) + ( 1 × 3 ) + ...
Page 242
... mean number 30 of molecules escaping per unit time through the hole is the same as the mean total number of molecules that would , per unit time , strike the area occupied by the hole if this hole had never been made . Hence 70 is ...
... mean number 30 of molecules escaping per unit time through the hole is the same as the mean total number of molecules that would , per unit time , strike the area occupied by the hole if this hole had never been made . Hence 70 is ...
Page 360
... number of molecules strik- ing a small area dA of the container wall can then be readily calculated exactly . Choose ... mean number of molecules having a velocity between v and v + dv and contained in this cylinder is thus [ f ( v ) d3v ] ...
... number of molecules strik- ing a small area dA of the container wall can then be readily calculated exactly . Choose ... mean number of molecules having a velocity between v and v + dv and contained in this cylinder is thus [ f ( v ) d3v ] ...
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