Lesson plan
Persistent random walk
The persistent random walk is a modification of the random walk model. A population of particles are distributed on a line, with constant speed c_0 , and each particle's velocity may be reversed at any moment. The reversal time is exponentially distributed as e^{-t/\tau}/\tau , then the population density n evolves according to (2\tau^{-1} \partial_t + \partial_{tt} - c_0^2 \partial_{xx}) n = 0 which is the telegrapher's equation.
Article summary
The persistent random walk is a modification of the random walk model. A population of particles are distributed on a line, with constant speed c_0 , and each particle's velocity may be reversed at any moment. The reversal time is exponentially distributed as e^{-t/\tau}/\tau , then the population density n evolves according to (2\tau^{-1} \partial_t + \partial_{tt} - c_0^2 \partial_{xx}) n = 0 which is the telegrapher's equation.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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