Steady State and Dynamics of Driven Diffusive Systems with Quenched Disorder.pdfVIP

Steady State and Dynamics of Driven Diffusive Systems with Quenched Disorder Goutam Tripathy and Mustansir Barma Tata Institute of Fundamental Research Homi Bhabha Road, Mumbai 400 005, India 7 We study the effect of quenched disorder on nonequilibrium systems of interacting particles, 9 specifically, driven diffusive lattice gases with spatially disordered jump rates. The exact steady- 9 state measure is found for a class of models evolving by drop-push dynamics, allowing several physical 1 quantities to be calculated. Dynamical correlations are studied numerically in one dimension. We r conjecture that the relevance of quenched disorder depends crucially upon the speed of the kine- p matic waves in the system. Time-dependent correlation functions, which monitor the dissipation A of kinematic waves, behave as in pure system if the wave speed is non-zero. When the wave speed vanishes, e.g. for the disordered exclusion process close to half filling, disorder is strongly relevant 7 and induces separation of phases with different macroscopic densities. In this case the exponent 2 characterizing the dynamical correlation function changes. Pacs numbers: 05.60.+w, 05.40.+j, 05.50.+q, 05.70.Ln ] n n What is the effect of quenched disorder on driven, the space-varying local speed of the kinematic wave of s- nonequilibrium systems? This question is important in density fluctuations. The problem is e