Stochastic model for ultraslow diffusion

A Stochastic Optimization Model for Groundwater Management

A Stochastic Model for Water Resources Management

Irrigation water management is crucial for agricultural production and livelihood security in many regions and countries throughout the world. Over the past decades, controversial and conflictladen water-allocation issues among competing municipal, industrial and agricultural interests have raised increasing concerns. Particularly, growing population, varying natural conditions and shrinking wa...

Localisation and universal fluctuations in ultraslow diffusion processes

We study ultraslow diffusion processes with logarithmic mean squared displacement (MSD) 〈 〉 ≃ γ x t t ( ) log 2 . Comparison of annealed (renewal) continuous time randomwalks (CTRWs) with logarithmic waiting time distribution ψ τ τ τ ≃ γ + ( ) 1 ( log ) 1 and Sinai diffusion in quenched random landscapes reveals striking similarities, despite the great differences in their physical nature. In p...

A Stochastic Optimization Model for Groundwater Management

Ultraslow diffusion in an exactly solvable non-Markovian random walk.

We study a one-dimensional discrete-time non-Markovian random walk with strong memory correlations subjected to pauses. Unlike the Scher-Montroll continuous-time random walk, which can be made Markovian by defining an operational time equal to the random-walk step number, the model we study keeps a record of the entire history of the walk. This new model is closely related to the one proposed r...