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000029785 0247_ $$2DOI$$a10.1103/PhysRevE.67.066705
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000029785 084__ $$2WoS$$aPhysics, Fluids & Plasmas
000029785 084__ $$2WoS$$aPhysics, Mathematical
000029785 1001_ $$0P:(DE-Juel1)VDB2437$$aIhle, T.$$b0$$uFZJ
000029785 245__ $$aStochastic rotation dynamics. I. Formalism, Galilean invariance, and Green-Kubo relations
000029785 260__ $$aCollege Park, Md.$$bAPS$$c2003
000029785 264_1 $$2Crossref$$3online$$bAmerican Physical Society (APS)$$c2003-06-12
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000029785 440_0 $$04924$$aPhysical Review E$$v67$$x1539-3755
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000029785 520__ $$aA detailed analytical and numerical analysis of a recently introduced stochastic model for fluid dynamics with continuous velocities and efficient multi-particle collisions is presented. It is shown how full Galilean invariance can be achieved for arbitrary Mach numbers and how other low temperature anomalies can be removed. The relaxation towards thermal equilibrium is investigated numerically, and the relaxation time is measured. Equations of motions for the correlation functions of coarse-grained hydrodynamic variables are derived using a discrete-time projection operator technique, and the Green-Kubo relations for all relevant transport coefficients are given. In the following paper (Part 2), analytic expressions for the transport coefficients are derived and compared with simulation results. Long-time tails in the velocity and stress autocorrelation functions are measured and shown to be in good agreement with previous mode-coupling theories for continuous systems.
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000029785 7001_ $$0P:(DE-Juel1)VDB2438$$aKroll, D. M.$$b1$$uFZJ
000029785 77318 $$2Crossref$$3journal-article$$a10.1103/physreve.67.066705$$bAmerican Physical Society (APS)$$d2003-06-12$$n6$$p066705$$tPhysical Review E$$v67$$x1063-651X$$y2003
000029785 773__ $$0PERI:(DE-600)2844562-4$$a10.1103/PhysRevE.67.066705$$gVol. 67, p. 066705$$n6$$p066705$$q67<066705$$tPhysical review / E$$v67$$x1063-651X$$y2003
000029785 8567_ $$uhttp://hdl.handle.net/2128/1481$$uhttp://dx.doi.org/10.1103/PhysRevE.67.066705
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