Talk:Dynamical billiards
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The Billiard Map
editThis page does a good job discussing the billiard map as a continuous (but non-differentiable) flow. However, in the modern theory of dynamical systems (see, for instance, in Katok and Hasselblatt [7]) billiards are often viewed a discrete dynamical system defined by a map on the (unit tangent bundle of) the boundary, which for convex billiards are classic, even motivating examples of twist maps. This is somewhat similar to what is found in Generalized billiards, but this still doesn't quite capture the modern perspective.
Simulation
editIt might be nice to have interactive billiard simulations. Anyone know how to do that? --MarSch 12:48, 20 October 2005 (UTC)
Does this cover the same topic as Lorenz gas, or is that something different? (Lorentz gas redirects to this page.) Mike Peel 11:26, 11 October 2006 (UTC)
- A Lorentz gas is a model for an electron moving through a lattice of atoms. Lorentz introduced this model in 1904 to study the heat and electrical conductivity of metals. Experimentally, Lorentz's model was not as good as Drude's model, but it provided the first example of a solution (although perturbative) to the transport equation when there are interactions. An often studied example of the Lorentz gas is a billiard, made famous by Sinai, where a fixed set of disks scatter a single point particle. The collisions are specular and the disks are usually arranged to form a periodic lattice. I am not aware of a Lorenz gas. XaosBits 13:53, 13 October 2006 (UTC)
The addition of information about "pump fields" seems to dangle. the "pump" field is not defined anywhere else (and I assume means the fiber coupling source of energy). This should be stated explicitly (but I'm reluctant to do so since this is not my primary area). Nonetheless, I tried to fix up the language associated with that part of the article. Chris 03:59, 31 August 2007 (UTC)
WikiProject class rating
editThis article was automatically assessed because at least one WikiProject had rated the article as start, and the rating on other projects was brought up to start class. BetacommandBot 09:48, 10 November 2007 (UTC)