Such a linear compensation scheme imposes a " uniform incentive pressure " on the agent, leading him to choose a constant drift for each dimension of the Brownian process.
2.
This is true because the solvated ion moving at a constant drift velocity s is subject to two equal and opposite forces : an electrical force zeE and a frictional force F _ { drag } = fs = ( 6 \ pi \ eta a ) s, where f is the frictional coefficient, \ eta is the solution viscosity.