the accessible volume in phase space—in other words, of the volume of the phase space
in which the thermodynamic observables have values compatible with a specific thermodynamic
state.
[PDF]Chapter 3 - Princeton University Press
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these systems are microscopic, and for this reason, measuring mechanical quantities in an experiment of ... We have seen, however, that entropy is not a mechanical quantity, in the sense we just expressed. .... 3.3 The Fundamental Postulate: Entropy as Phase- Space Volume ..... For a system with N degrees of freedom, the.
2.5 Liouville’s Theorem
2.5.1 General discussion
Can imagine phase space to be filled with a large number of identical non-iteracting
copies (ie ensemble) of the system, differing only in the initial conditions – a dust
cloud or fluid. Each material point of the fluid has velocity ~v = (˙~q, ˙~p) in phase space
determined by the equations of motion, ie ~v = (~∇~pH,−~∇~qH). So all information
about all possible motions is equivalent to a description of the 2f dimensional fluid.
2.5.1 General discussion
Can imagine phase space to be filled with a large number of identical non-iteracting
copies (ie ensemble) of the system, differing only in the initial conditions – a dust
cloud or fluid. Each material point of the fluid has velocity ~v = (˙~q, ˙~p) in phase space
determined by the equations of motion, ie ~v = (~∇~pH,−~∇~qH). So all information
about all possible motions is equivalent to a description of the 2f dimensional fluid.
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