Steady state current fluctuations for one-dimensional driven lattice gases

该提案研究了驱动一维晶格气体的电流波动，在其他应用中，用于模拟离子导体，表面生长和键无序铁磁体中的畴壁。我们的目的是在特定的模型中研究时间积分电流波动的精确统计数据，并将它们与相应的大偏差联系起来。大的偏差应该满足Gallavotti-Cohen涨落定理。我们将探讨其有效性的范围。

The proposal investigates the current fluctuations for driven one-dimensional lattice gases which, amongst other applications, are used to model ionic conductors, surface growth, and domain walls in bond disordered ferromagnets. Our aim is to study within specific models the precise statistics of the fluctuations of the time-integrated current and to relate them to the corresponding large deviations. The large deviations should satisfy the Gallavotti-Cohen fluctuation theorem. We will explore the range of its validity.