Differences

This shows you the differences between two versions of the page.

--- theorems:liouvilles_theorem [2018/05/05 12:40]
jakobadmin ↷ Page moved from basic_tools:phase_space:liouvilles_theorem to theorems:liouvilles_theorem
+++ theorems:liouvilles_theorem [2018/05/06 14:04]
ida [Intuitive]
@@ Line 3: / Line 3: @@
 <tabbox Intuitive>
+<blockquote>It turns out that the abstract phase fluid has the same properties as a real fluid that is incompressible. An incompressible real fluid is one in which any volume-element of fluid (any sample of neighbouring ‘particles’) cannot be compressed, that is, it keeps the same volume. Likewise, for the phase fluid we may examine any small 2n-dimensional volume-element within the fluid, and watch this volume as it is ‘carried along’ by the flow. Although the shape of the volume-element may become distorted yet its total volume always remains unchanged.
+<cite>The Lazy Universe by Coopersmith</cite></blockquote>
 <blockquote>Liouville's theorem can be thought of as conservation of information in classical mechanics.