Document Type
Lecture
Publication Date
11-13-2014
Abstract
Fermi acceleration is a mechanism which allows an interacting particle to extract arbitrarily large amounts of energy from a stationary environment. In the early 1940s, Fermi and Ulam designed simple dynamical systems to model this phenomenon, conducted numerical experiments, and obtained results supporting the ideas used to explain high-energy cosmic rays (cf. Fermi, 1949). In this talk, I will describe the dynamics of a number of dynamical systems inspired by their work. I will report on recent and ongoing work based on a combination of ideas from classical KAM (Kolmogorov–Arnold–Moser) theory and modern techniques in hyperbolic dynamics. This is part of a joint project with D. Dolgopyat.
Relational Format
presentation
Recommended Citation
De Simoi, Jacopo, "Dynamics of Some Fermi–Ulam Models" (2014). Colloquium. 16.
https://egrove.olemiss.edu/math_colloquium/16
