The time-integrated current of the TASEP has non-Gaussian fluctuations of order $t^{1/3}$. The recently discovered connection to random matrices and the Painlev\'e II Riemann-Hilbert problem provides a technique through which we obtain the probability distribution of the current fluctuations, in particular their dependence on initial conditions, and the stationary two-point function. Some open problems are explained.
CITATION STYLE
Prähofer, M., & Spohn, H. (2002). Current Fluctuations for the Totally Asymmetric Simple Exclusion Process. In In and Out of Equilibrium (pp. 185–204). Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-0063-5_7
Mendeley helps you to discover research relevant for your work.