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

Mikhail P. Solon; Kristian Hauser Villegas; J. P. Esguerra

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arXiv · 0908.1595

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

Mikhail P. Solon·Kristian Hauser Villegas·J. P. Esguerra

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Abstract

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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Mikhail P. Solon, Kristian Hauser Villegas, J. P. Esguerra. 2009-08-11. Non-stationary solutions driven by thermodynamic power in the white-noise Langevin model. https://arxiv.org/abs/0908.1595

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