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Showing 1 to 3 of 3 for “"Zero range process"”.
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The Transition Probability of the Inhomogeneous q-TAZRP
… form of the n-particle totally asymmetric zero-range process (TAZRP) on the lattice Z defined by Sasamoto and Wadati in [J. Phys. A, vol. 31 6057--6071 (1998)]. We generalise the result by Korhonen and Lee in [J. Math. Phys., vol. 55, 013301 (2014)] to allow the lattice sites to have …
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On some nonlinear partial differential equations for classical and quantum many body systems
… diffusion equation from a microscopic stochastic process. We give a new method to show that in the hydrodynamic limit, the particle densities of a one-dimensional zero range process on a periodic lattice converge to the solution of a nonlinear diffusion equation. This method allows for the first …
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Quantitative studies and Hydrodynamical limits for interacting particle systems
… grids of oscillators. The methods range from hypocoercivity inspired techniques, in the sense of Villani, to spectral analysis of discrete Schrödinger operators. Moreover we study heat conduction in gases addressing, with both analytic and probabilistic techniques, the question of …