Abstract
We describe results of computer simulations of steady state heat transport in a fluid of hard discs undergoing both elastic interparticle collisions and ‘pseudo collisions’ which do not conserve momentum. The latter are done by picking particles at random and randomizing the directions of their velocities. The system consists of N discs of radius r in a unit square, periodic in the y-direction and having thermal walls with different temperatures at x = 0 and at x = 1. We extrapolate results from different N, to N → ∞, r → 0, such that πr2N = 1/2. We find that in the (extrapolated) hydrodynamic limit N → ∞, the systems’ local density and temperature profiles are those of local thermodynamic equilibrium (LTE), the corresponding pressure is constant independent of position and the heat flux obeys Fourier’s law. The variance of global quantities, such as the total energy, deviates from its local equilibrium value in a form consistent with macroscopic fluctuation theory.
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