The exact distribution of the oscillation period in the underdamped one-dimensional Sinai model (Q2773109)
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scientific article; zbMATH DE number 1709258
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The exact distribution of the oscillation period in the underdamped one-dimensional Sinai model |
scientific article; zbMATH DE number 1709258 |
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The exact distribution of the oscillation period in the underdamped one-dimensional Sinai model (English)
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20 February 2002
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zero-temperature frictionless Newtonian dynamics
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one-dimensional random potential
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time period
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This note is devoted to study the zero-temperature frictionless Newtonian dynamics of a particle in a one-dimensional random potential, which is a Brownian motion in space. Due to the absence of friction, the particle oscillates back and forth between two turning points where the kinetic energy becomes zero. The period of this oscillation is a random variable, varying from sample to sample of the disorder. The main result is an exact result for the distribution of this time period.
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