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Phase space (disambiguation)
WIKIMEDIA DISAMBIGUATION PAGE
Phase Space
Phase space is a concept in physics, frequently applied in thermodynamics, statistical mechanics, dynamical systems, symplectic manifolds and chaos theory.
phase space
![ensemble]] of classical systems in phase space (top). The systems are a massive particle in a one-dimensional potential well (red curve, lower figure). The initially compact ensemble becomes swirled up over time.](https://commons.wikimedia.org/wiki/Special:FilePath/Hamiltonian flow classical.gif?width=200 "ensemble]] of classical systems in phase space (top). The systems are a massive particle in a one-dimensional potential well (red curve, lower figure). The initially compact ensemble becomes swirled up over time.")
![Time-series flow in phase space specified by the differential equation of a [[pendulum]]. The ''X'' axis corresponds to the pendulum's position, and the ''Y'' axis its speed.](https://commons.wikimedia.org/wiki/Special:FilePath/PenduleEspaceDesPhases.png?width=200 "Time-series flow in phase space specified by the differential equation of a [[pendulum]]. The ''X'' axis corresponds to the pendulum's position, and the ''Y'' axis its speed.")
![Illustration of how a phase portrait would be constructed for the motion of a simple [[pendulum]]](https://commons.wikimedia.org/wiki/Special:FilePath/Pendulum phase portrait illustration.svg?width=200 "Illustration of how a phase portrait would be constructed for the motion of a simple [[pendulum]]")
WIKIMEDIA DISAMBIGUATION PAGE
Phase Space
<mathematics> The 2n-dimensional space consisting of the
possible values of (x1, x1., x2, x2., ..., xn, xn.) for a
system of n first-order ordinary differential equations (or
more generally, Pfaffian forms).
If n=1, the phase space is known as a phase plane.
http://mathworld.wolfram.com/PhaseSpace.html.
(2008-05-02)
phase space
WIKIMEDIA DISAMBIGUATION PAGE
Phase Space
¦ noun Physics a multidimensional space in which the axes correspond to the coordinates required to specify any state of a system.
