1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Ring polymer dynamics in curved spaces
Rent:
Rent this article for
USD
10.1063/1.4732055
/content/aip/journal/jcp/137/1/10.1063/1.4732055
http://aip.metastore.ingenta.com/content/aip/journal/jcp/137/1/10.1063/1.4732055
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Phase space trajectory for a particle in a ring of radius 1 bohr, 1 a.u. of mass, computed with the nonconfining potential in Eq. (25). (a) Results obtained with the second order exponential algorithm. (b) Results obtained with the traditional 4th order Candy-Rozmous algorithm.

Image of FIG. 2.
FIG. 2.

Long time energy drift for two integrators in curved spaces [Cases 1 and 2, see text surrounding Eq. (26)] compared with the behavior of the Candy-Rozmous integrator for the equivalent problem in flat space mapped with a Cartesian coordinate (Case 3). (a) Time increment τ = 1.0 × 10−3 a.u. (b) Time increment τ = 1.0 × 10−4 a.u.

Image of FIG. 3.
FIG. 3.

Average potential energy at various values of β for a particle in a ring of radius 1 bohr, 207 a.u. of mass, and subjected to a potential equal to (a) V = ξ2/8, and (b) V = (θ − π)2/2. The black squares are the classical results, the white squares correspond to the quantum simulation with ten slices, and the green line is the exact value obtained by DVR.

Image of FIG. 4.
FIG. 4.

Position-position autocorrelation function [cf. Eq. (32)] for a particle in a ring of radius 1 bohr, 207 a.u. of mass, and subjected to the nonconfining potential in Eq. (25).

Image of FIG. 5.
FIG. 5.

Position-position autocorrelation function for a particle in a ring of radius 1 bohr, 207 a.u. of mass, and subjected to the quadratic potential in Eq. (29).

Loading

Article metrics loading...

/content/aip/journal/jcp/137/1/10.1063/1.4732055
2012-07-06
2014-04-16
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Ring polymer dynamics in curved spaces
http://aip.metastore.ingenta.com/content/aip/journal/jcp/137/1/10.1063/1.4732055
10.1063/1.4732055
SEARCH_EXPAND_ITEM