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Noteson STATISTICALMECHANICS - Chennai Mathematical …

MurthyNotes onSTATISTICAL MECHANICSA ugust 28, 2017 DRAFTIt was certainly not by design that the particles fell into orderThey did not work out what they were going to do,but because many of them by many chancesstruck one another in the course of infinite timeand encountered every possible form and movement,that they found at last the disposition they have,and that is how the universe was Lucretius Carus (94 BC - 55BC)de Rerum NaturaEverything existing in the universe is the fruit of chance and (370 BC)The moving finger writes; and, having writ,moves on : nor all your piety nor witshall lure it back to cancel half a linenor all your tears wash out a word of itOmar Khayyam(1048 - 1131)Whatever happened,happened for is happening,is happening for will happen,will happen for Gita

of a macroscopic system4. kB is the Boltzmann constant 5 that establishes correspondence of the statistical entropy of Boltzmann to the thermodynamic entropy of Clausius 6. 1.2.2 Boltzmann-Gibbs-Shannon Entropy More generally we have the Boltzmann-Gibbs-Shannon entropy given by, S= −kB X i pi lnpi. (1.2)

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