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State-dependent diffusion: Thermodynamic consistency and its path integral formulation

State-dependent diffusion: Thermodynamic consistency and its path integral formulation

The friction coefficient of a particle can depend on its position, as it does when the particle is near a wall. We formulate the dynamics of particles with such state-dependent friction coefficients in terms of a general Langevin equation with multiplicative noise, whose evaluation requires the introduction of specific rules. …