Generalised Fluctuation Formula
We develop a General Fluctuation Formula for phase variables that are odd under time reversal. Simulations are used to verify the new formula.
cond-mat.stat-mech↗
arXiv subjects
Gary Ayton
Publications and source records attributed to Gary Ayton.
Microscopic expressions for the thermodynamic temperature
We show that arbitrary phase space vector fields can be used to generate phase functions whose ensemble averages give the thermodynamic temperature. We describe conditions for the validity of these functions in periodic boundary systems and the Molecular Dynamics (MD) ensemble, and test them with a short-ranged potential MD simulation.
cond-mat.stat-mech↗
On the Asymptotic Convergence of the Transient and Steady State Fluctuation Theorems
Non-equilibrium molecular dynamics simulations are used to demonstrate the asymptotic convergence of the Transient and Steady State forms of the Fluctuation Theorem. In the case of planar Poiseuille flow, we find that the Transient form, valid for all times, converges to the Steady State form on microscopic time scales. Further, we find that the time of convergence for the two Theorems coincides with the time required for satisfaction of the asymptotic Steady State Fluctuation Theorem. PACS numbers: 05.20.-y, 05.70.Ln, 47.10.+g, 47.40.-n
cond-mat.stat-mech↗
A Local Fluctuation Theorem
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.
cond-mat.stat-mech↗