Unformatted text preview: molecules in a room, for example, we would need to specify over 10 26 variables, namely the position and velocity of each molecule, and that ignores internal degrees of freedom such as rotation! Therefore when we look at large systems, we need to look at probability and what states and configurations are most likely. Consider a system with g possible states. Let s be a label that indicates the state of a given system. Then let P ( s ) be the probability that the system is in state s , given by: P ( s ) = Therefore, if there are 100 states, the probability of being in any particular state is P (100) = 0.01 . Notice that the probability that the system is in some state, any state, must be one, since we are certain to find the system in one of the g states at any time. Therefore, we write: P ( s ) = 1...
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- Fall '10
- Physics, At-large, multiplicity function