Non-stationary solutions driven by thermodynamic power in the white-noise Langevin model

Details Non-stationary solutions driven by thermodynamic power in the white-noise Langevin model Non-stationary solutions driven by thermodynamic power in the white-noise Langevin model

2009-08-11

arxiv.org/abs/0908.1595v1

Physics

Condensed Matter

Statistical Mechanics

13 pages, 3 figures

Scientific paper

The average thermodynamic power of a time-dependent external potential in the white-noise Langevin model is derived using a Green's function solution. The power appears as a driving term in the differential equation for the average energy and determines whether the solution is stationary or non-stationary. Different dynamics are illustrated with explicit models: a linear potential with a static magnetic field, a linear potential perturbed with an oscillating component and a magnetic field switch modeled using a $\tanh$ protocol.

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