Accurate numerical, integral methods for computing drift-kinetic Trubnikov-Rosenbluth potentials

2021 ◽  
pp. 110862
Author(s):  
J. Andrew Spencer ◽  
Brett Adair ◽  
Eric D. Held ◽  
Jeong-Young Ji ◽  
Joseph R. Jepson
2014 ◽  
Vol 919-921 ◽  
pp. 1164-1168
Author(s):  
Yu Yang ◽  
Yan Wang ◽  
Yun Fang Yang

Vertical vibration of identical simply supported bridges traversed by a train with uniformly distributed mass is investigated in this paper. The train with passengers onboard is simplified as a uniformly distributed two-layer spring-mass system as well as the bridges are simplified as consecutive simply supported Euler-Bernoulli beams. To analyze dynamic responses of the train and the bridges, the dynamic governing equation of the system is obtained and solved by a specific linear interpolating method and numerical integral methods. The result graphs indicate that dynamic responses of both beam and train carriage increase along with the mass ratio of bogie to car.


1946 ◽  
Author(s):  
MASSACHUSETTS INST OF TECH CAMBRIDGE

Author(s):  
Michael P. Allen ◽  
Dominic J. Tildesley

This chapter covers the introduction of quantum mechanics into computer simulation methods. The chapter begins by explaining how electronic degrees of freedom may be handled in an ab initio fashion and how the resulting forces are included in the classical dynamics of the nuclei. The technique for combining the ab initio molecular dynamics of a small region, with classical dynamics or molecular mechanics applied to the surrounding environment, is explained. There is a section on handling quantum degrees of freedom, such as low-mass nuclei, by discretized path integral methods, complete with practical code examples. The problem of calculating quantum time correlation functions is addressed. Ground-state quantum Monte Carlo methods are explained, and the chapter concludes with a forward look to the future development of such techniques particularly to systems that include excited electronic states.


1992 ◽  
Vol 28 (2) ◽  
pp. 1755-1758 ◽  
Author(s):  
E. Schlemmer ◽  
J. Steffan ◽  
W.M. Rucker ◽  
K.R. Richter

1981 ◽  
Vol 23 (6) ◽  
pp. 1096-1103 ◽  
Author(s):  
Anders Bárány ◽  
D S F Crothers

2003 ◽  
Vol 119 (23) ◽  
pp. 12119-12128 ◽  
Author(s):  
Cristian Predescu ◽  
Dubravko Sabo ◽  
J. D. Doll ◽  
David L. Freeman

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