Steady state current fluctuations for one-dimensional driven lattice gases

• Applicant: Professor Dr. Herbert Spohn
• Subject Area: Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
• Term: from 2007 to 2012
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 41857742

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.

• DFG Programme: Research Grants