%0 Journal Article %T A Local Fluctuation Theorem %A Gary Ayton %A Denis J. Evans %A Debra J. Searles %J Physics %D 1999 %I arXiv %X The Fluctuation Theorem (FT) gives an analytic expression for the probability, in a nonequilibrium system of finite size observed for a finite time, that the dissipative flux will flow in the reverse direction to that required by the Second Law of Thermodynamics. In the present letter a Local version of the Fluctuation Theorem (LFT), is derived. We find that in the case of planar Poiseuille flow of a Newtonian fluid between thermostatted walls, non-equilibrium molecular dynamics simulation results support LFT. %U http://arxiv.org/abs/cond-mat/9901256v1