Olemskoi, Alexander I.; Khomenko, Alexei V.; … - In: Physica A: Statistical Mechanics and its Applications 323 (2003) C, pp. 263-293
The theory of a flux steady-state related to avalanche formation is presented for the simplest model of a sand pile within the framework of the Lorenz approach. The stationary values of sand velocity and sand pile slope are derived as functions of a control parameter (driven sand pile slope)....