| 词条 | Fermi–Pustyl'nikov model |
| 释义 |
}} The Fermi–Pustyl'nikov model, named after Enrico Fermi and Lev Pustyl'nikov, is a model of the Fermi acceleration mechanism. A point mass falls with a constant acceleration vertically on the infinitely heavy horizontal wall, which moves vertically in accordance with analytic periodic law in time. The point interacts with the wall by the law of elastic collision. For this model it was proved that under some general conditions the velocity and energy of the point at the moments of collisions with the wall tend to infinity for an open set of initial data having the infinite Lebesgue measure.[1] This model was introduced in 1968 in,[2] and studied in,[1][2] by L. D. Pustyl'nikov in connection with justification of the Fermi acceleration mechanism. (See also [3] and references therein). References1. ^1 L. D. Pustyl'nikov (1977), Stable and oscillating motions in nonatonomous dynamical systems II. (Russian) Trudy Moscow. Mat. Obsc. 34, 3–103. English transl. in Trans. Moscow Math. Soc. (2), (1978). 2. ^1 L. D. Pustyl'nikov (1968), On a dynamical system. (Russian) Uspekhi Mat. Nauk 23, no. 4 (142), 251-252. 3. ^L. D. Pustyl'nikov (1995), Poincaré models, rigorous justification of the second law of thermodynamics from mechanics, and Fermi acceleration mechanism. Russ. Math. Surveys 50(1), 145–189. {{DEFAULTSORT:Fermi-Pustyl'nikov Model}}{{Systemstheory-stub}} 1 : Dynamical systems |
| 随便看 |
|
开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。