Lecture_22 - PHYS 342 Fall 2011 Lecture 22 Intro to Statistical Physics Ron Reifenberger Birck Nanotechnology Center Purdue University The language

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PHYS 342 ll 2011 Fall 2011 Lecture 22: Intro. to Statistical Physics Ron Reifenberger Birck Nanotechnology Center Purdue University The language and math of statistical physics are very different. No more 1 Fm a q   2 22 ˆ 4 o E r r e  Lecture 22 2 1 24 o Ze E mr  1
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The BIG Picture The working of one atom may be mysterious but it is by and large organized, tidy and predictable. In contrast, there is an evident imbalance in the way nature works when any toms are grouped together. many atoms are grouped together. The microscopic world of many atoms shows a natural tendency to disperse (equally distribute, spread out) energy. Dispersal is accompanied by loss of quality in the way energy is stored . ALL spontaneous processes exhibit a seemingly purposeless spreading of energy governed by chance and a complete lack of regulation. In 1865, the concept of ENTROPY was invented to measure and track e dispersal of energy the dispersal of energy. Surprisingly, Chaos and Randomness become powerful drivers in the microscopic world of many atoms . 2
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FEW KEY IDEAS A FEW KEY IDEAS Probabilities describe incomplete knowledge. Distribution functions (discrete and continuous) describe collections of probabilities. Multiplicity : The multiplicity of events is the total number of ways in which different outcomes can possibly occur. If the number of outcomes f A is n nd the total number of outcomes of B is n the total possible of A s n A and the total number of outcomes of B s n B , the total poss ble number of possible combination of outcomes is the multiplicity W=g=n A n B . The probability of a particular outcome depends on the number of possible ways it can occur. 3
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A Few Simple Intuitive Definitions utually exclusive On the single roll of a die 2 and 5 Mutually exclusive : On the single roll of a die, 2 and 5 are mutually exclusive because only one number can appear “up” after a given roll.
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This note was uploaded on 12/08/2011 for the course PHYS 342 taught by Professor Staff during the Fall '08 term at Purdue University-West Lafayette.

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Lecture_22 - PHYS 342 Fall 2011 Lecture 22 Intro to Statistical Physics Ron Reifenberger Birck Nanotechnology Center Purdue University The language

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