On the conformational structure of a stiff homopolymer

In this paper we complete the study of the phase diagram and conformational states of a stiff homopolymer. It is known that folding of a sufficiently stiff chain results in formation of a torus. We find that the phase diagram obtained from the Gaussian variational treatment actually contains not one, but several distinct toroidal states distinguished by the winding number. Such states are separated by first order transition curves terminating in critical points at low values of the stiffness. These findings are further supported by off-lattice Monte Carlo simulation. Moreover, the simulation shows that the kinetics of folding of a stiff chain passes through various metastable states corresponding to hairpin conformations with abrupt U-turns.Comment: 9 pages, 16 PS figures. Journal of Chemical Physics, in pres

Mutual effect of thermochemical surface decomposition and viscous interaction during hypersonic flow past a sharp cone

Numerical results on the hypersonic gas flow in viscous interaction regime past sharp circular cones with thermally destructible Teflon surface are presented. Characteristics of the mutual influence between the thermochemical decomposition of the surface and the viscous interaction are revealed

Багатовимірна структурна ідентифікація при регулярних сигналах

New structural identification algorithm at a regular signals for the multidimensional objects with unstable poles is discussed in this article. This algorithm is based on the use of transformation of Laplace for the decision of reverse control task. It allows to find the object transfer matrices from the control input and from the indignation input as a result of the quadratic functional minimization. Новий алгоритм структурної ідентифікації багатовимірних можливо нестійких об’єктів при регулярних сигналах розглянуто у статті. Зазначений алгоритм заснований на використанні перетворення Лапласу для розв’язання зворотної задачі керування. Він дозволяє знаходити матриці передатних функцій об’єкта від регульованого входу та від збурення в результаті мінімізації квадратичного функціоналу якості