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Bachelor thesis

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cc-by-nc-nd (c) Chito, 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/215144

Kramers problem and energy diffusion

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Abstract

The thermally activated escape of a Brownian particle over a potential barrier can be treated by the Smoluchowski equation if the high friction limit is considered. If the friction is weak, however, a different approach must be taken which is based on the concept of energy diffusion. The associated Kramers problem is to determine the rate at which the particle escapes from the potential well defining the barrier. In this work, through theory and simulations, we quantify the escape time as the mean first-passage time taken by the particle to cross the barrier by considering the energy diffusion approach

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2024, Tutor: Ivan Latella

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CHITO GÓMEZ, Samuel. Kramers problem and energy diffusion. [consulted: 10 of June of 2026]. Available at: https://hdl.handle.net/2445/215144

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