Solution to the Quantum Symmetric Simple Exclusion Process: The Continuous Case

Symmetric Simple Exclusion Process: Regularity of the Self Diffusion Coefficient

Exact Solution of the Simple Exclusion Process from Boundary Symmetry∗

The exact solution of a model of nonequilibrium physics derived from the boundary symmetry in the form of deformed Onzager algebra is presented. The symmetry is generated by nonlocal charges that render the model to be exactly solvable in the steady state and provide a unified description of the dynamics of the boundary driven process. PACS codes: 02.50.Ey, 05.70.Ln, 75.10.Pq, 02.30.Ik The simp...

Distributional Limits for the Symmetric Exclusion Process

Strong negative dependence properties have recently been proved for the symmetric exclusion process. In this paper, we apply these results to prove convergence to the Poisson and Gaussian distributions for various functionals of the process.

Perturbations of the Symmetric Exclusion Process

One of the fundamental issues concerning particle systems is classifying the invariant measures I and giving properties of those measures for different processes. For the exclusion process with symmetric kernel p(x, y) = p(y, x), I has been completely studied. This paper gives results concerning I for exclusion processes where p(x, y) = p(y, x) except for finitely many x, y ∈ S and p(x, y) corr...

Exact solution of a heterogeneous multilane asymmetric simple exclusion process.

We have proved an exact solution of a multilane totally asymmetric simple exclusion process (TASEP) with heterogeneous lane-changing rates on a torus. In the expression, the TASEP in each lane and lane-changing transition can be separable. Moreover, the lane-changing transitions satisfy the detailed balance condition, and this is the key to constructing the solution. Using the saddle-point meth...