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tutorial_stat - STATISTICAL MECHANICS BEH.410 Tutorial...

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STATISTICAL MECHANICS BEH.410 Tutorial Maxine Jonas February 14, 2003
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Why Statistical Mechanics? Understand & predict the physical properties of macroscopic systems from the properties of their constituents Deterministic approach -need±of± 6N coordinates at t 0 : r i and v i -but±typically± N moles (10 23 ) ! “Ensemble” rather than microscopic detail … and its surroundings ¾ microcanonical, canonical, grand canonical
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What With Statistical Mechanics? Averages, distributions, deviation estimates… … of microstates : specification of the complete set of positions and momenta at any given time (points on the constant energy hypersurface for Hamiltonian dynamics) Ensemble average & ergodic hypothesis: A system that is ergodic is one which, given an infinite amount of time, will visit all possible microscopic states available to it.
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The First Law – Work Work, heat & energy = basic concepts Energy of a system = capacity to do work ¾ At the molecular level, difference in the surroundings state function – independent of how state was reached Energy transfer that makes use of… Heat … chaotic molecular motion Work … organized molecular motion
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Second Law – Gibbs ± Spontaneous processes increase the overall “disorder” of the universe ²
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tutorial_stat - STATISTICAL MECHANICS BEH.410 Tutorial...

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