@article{44f34ea2ac5146c7aadd98b2c1020b8c,
title = "A saddle in a corner-a model of collinear triatomic chemical reactions",
abstract = "A geometrical model which captures the main ingredients governing atom-diatom collinear chemical reactions is proposed. This model is neither near-integrable nor hyperbolic, yet it is amenable to analysis using a combination of the recently developed tools for studying systems with steep potentials and the study of the phase space structure near a center-saddle equilibrium. The nontrivial dependence of the reaction rates on parameters, initial conditions, and energy is thus qualitatively explained. Conditions under which the phase space transition state theory assumptions are satisfied and conditions under which they fail are derived.",
author = "L. Lerman and V. Rom-Kedar",
note = "RFBR (Russia); MSTI (Israel) [06-01-72023]; RFBR [10-01-00429a]; Nizhny Novgorod region [11-01-97017]; Ministry of Education and Science of the Russian Federation [NK-13P-13, P945]; Russian Federation Government [11.G34.31.0039]; Israel Science Foundation [273/07]; Minerva FoundationReceived by the editors May 12, 2011; accepted for publication (in revised form) by T. Kaper December 24, 2011; published electronically March 20, 2012. This research was supported by RFBR (Russia) and MSTI (Israel) under grant 06-01-72023.Department of Differential Equations and Mathematical Analysis, The University of Nizhny Novgorod, Nizhny Novgorod, Russia (
[email protected]). This author's research was partially supported by RFBR under grant 10-01-00429a, RFBR and the administration of the Nizhny Novgorod region under grant 11-01-97017 (regional-Povolzhye), the Ministry of Education and Science of the Russian Federation (contract NK-13P-13, P945), and the Russian Federation Government grant (contract 11.G34.31.0039).The Estrin Family Chair of Computer Science and Applied Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel (
[email protected]). This author's research was supported by the Israel Science Foundation (grant 273/07) and the Minerva Foundation.",
year = "2012",
doi = "10.1137/110833890",
language = "الإنجليزيّة",
volume = "11",
pages = "416--446",
journal = "SIAM Journal on Applied Dynamical Systems",
issn = "1536-0040",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "1",
}