Solution of the generalized oscillation equation of rods by the recurrent-operator method

2018 ◽  
pp. 90-105
Author(s):  
E. Rozhkova ◽  
Keyword(s):  
Operator Method ◽  
Recurrent Operator ◽  
Oscillation Equation

scholarly journals A Dynamical Study of Fusion Hindrance with Nakajima-Zwanzig Projection Method

2021 ◽  
Author(s):  
Yasuhisa Abe ◽  
David Boilley ◽  
Quentin Hourdillé ◽  
Caiwan Shen
Keyword(s):  
Cross Sections ◽  
Degrees Of Freedom ◽  
Operator Method ◽  
Initial Distribution ◽  
Physical Parameters ◽  
Relaxation Processes ◽  
Fast Variable ◽  
Dynamical Study ◽  
Injection Point ◽  
Slow Variables

Abstract A new framework is proposed for the study of collisions between very heavy ions which lead to the synthesis of Super-Heavy Elements (SHE), to address the fusion hindrance phenomenon. The dynamics of the reaction is studied in terms of collective degrees of freedom undergoing relaxation processes with different time scales. The Nakajima-Zwanzig projection operator method is employed to eliminate fast variable and derive a dynamical equation for the reduced system with only slow variables. There, the time evolution operator is renormalised and an inhomogeneous term appears, which represents a propagation of the given initial distribution. The term results in a slip to the initial values of the slow variables. We expect that gives a dynamical origin of the so-called “injection point s” introduced by Swiatecki et al in order to reproduce absolute values of measured cross sections for SHE. A formula for the slip is given in terms of physical parameters of the system, which confirms the results recently obtained with a Langevin equation, and permits us to compare various incident channels.

A nonlocal operator method for finite deformation higher-order gradient elasticity

2021 ◽  
Vol 384 ◽  
pp. 113963
Author(s):  
Huilong Ren ◽  
Xiaoying Zhuang ◽  
Nguyen-Thoi Trung ◽  
Timon Rabczuk
Keyword(s):  
Finite Deformation ◽  
Gradient Elasticity ◽  
Operator Method ◽  
Higher Order ◽  
Nonlocal Operator

On the convergence of the operator method perturbation series

1984 ◽  
Vol 104 (8) ◽  
pp. 401-404 ◽  
Author(s):  
Francisco M. Fernández ◽  
Alejandro M. Mesón ◽  
Eduardo A. Castro
Keyword(s):  
Operator Method ◽  
Perturbation Series

Study on Output of LD-Pumped Passively Q-Switched Subnanosecond Microlasers

2013 ◽  
Vol 722 ◽  
pp. 23-27
Author(s):  
He Jiao Cheng ◽  
Hui Min Chen ◽  
De Cai
Keyword(s):  
High Power ◽  
Electromagnetic Interference ◽  
Angular Resolution ◽  
Resonant Cavity ◽  
High Angular Resolution ◽  
Key Factors ◽  
Military Applications ◽  
Output Characteristics ◽  
Oscillation Equation ◽  
Initial Transmission

In recent years, the laser fuze has been widely used in minor caliber mortar projectiles and bombs because of its high accuracy in distance measurement, strong ability to resist electromagnetic interference, high angular resolution and good concealment. As a result, it becomes an irreversible tendency to miniaturize the high power of the laser, especially in military applications. This paper aims to study the factors on the output characteristics of the microlasers. Based on the variation of the inversion density of the particle in the resonant cavity derived from the oscillation equation of the LD-pumped passively Q-switched Cr4+:YAG/ Nd:YAG laser, this paper summarizes some key factors which have impacts on the output of LD-pumped passively Q-switched subnanosecond microlasers, including the initial transmission of the absorber, the reflection of output coupler, the length of the cavity and the radius of the pumping laser beam, and gives the conclusion of the simulation, which provides the basis for the design of the passive Q-switched micro lasers which have high power, high repetition frequency and narrow pulse width.

Sign in / Sign up

Export Citation Format

Share Document