Other Research Interests
Dynamics of Granular Media
The behaviour of granular systems is a hot topic in physics these
days. Check out the collaborative "Powder Page" on the subject. Also
check out Sand
Land and Granular
Matter, featuring experiments, movies, and technical stuff.
Recent site listing from March 2000 Physics Today article:
Dan Starr, Andrew Markiel, and I are working with Gerald Seidler's group (the Microstructural Kinetics Laboratory in UW Physics) to study the topology of close packing. Check out the movies on Dan's home page! (unformatted).
On a related issue...
Inelastic Collapse
Ironically, a "perfect" collision code will inevitably run up against
the phenomenon of inelastic collapse when the particle density is
sufficiently high. This numerical artifact occurs when the code
attempts to perform essentially an infinite number of collisions in a
finite interval owing to continued dissipation from rapid successive
collisions between a subset of the particles. In unpublished work, I
have shown this can occur in 3D, following on from original 2D work by
S. McNammara and W. Young (Phys Rev E 50:R28). One way to get around
inelastic collapse is to "look ahead" for possible trouble spots
(collisions between the same two particles over a very small interval)
and then force the next collision to be perfectly elastic. Another
more sophisticated approach is to store collisional energy as
vibration modes in the particles and release this energy
stochastically in subsequent collisions.
As a test of my code's ability to perform granular dynamics, I have
been simulating the formation of sandpiles, like this
one. Click on the snapshot to the left for a movie of an even more
sophisticated test I generated recently. Check back here for more
updates in the future!
Recently UW undergraduate Dan Starr has joined the crusade to
understand granular dynamics and rubble piles. Check out hi
s home page!
Fractal Aggregates
By allowing particles to stick at the point of contact in an N-body
simulation, it is possible to build up fluffy aggregates that are
reminiscent of fluffy grains studied in the laboratory. Such grains
may be important in the early stages of planetesimal growth, since their fractal nature
allow a limited kind of runaway agglomeration even while being stirred
up by the turbulent gas in the primordial nebula. Eventually these
grains would grow large enough to decouple from the gas, settle to the
midplane, and begin to coagulate into larger planetesimals. We think!
Related paper
Extra-solar Planets
I had the privelege of working with some of the pioneers in the search
for extra-solar planets when I was an undergraduate at the University
of British Columbia. At that time I worked on time-series analysis of
their Precision Radial Velocity data and I also modeled the
instrumental profile of their hydrogen-fluoride absorption cell and
spectrograph.
Since then my interests in this area have turned to explaining why so
many of the extra-solar planets have such unexpected orbits. It seems
the exciting new observations have simply resulted in more questions!
Related papers
-
Orbital Migration of the Planetary Companion of 51 Pegasi to its
Present Location
D. N. C. Lin, P. Bodenheimer, D. C. Richardson, Nature 380:606,
1996
[submitted version:
compressed PostScript]
-
A Search for Jupiter-mass Companions to Nearby Stars
G. A. H. Walker, A. R. Walker, A. W. Irwin, A. M. Larson,
S. L. S. Yang, D. C. Richardson, Icarus 116:359, 1995
-
Cross Talk in 1872 Reticon Diode Arrays
G. A. H. Walker, R. Johnson, D. Richardson, B. Campbell,
A. W. Irwin, S. Yang, PASP 102:1418, 1990 (also see
Erratum 103:260)
Yet More Interests
I am interested in N-body problems in general, and although much of my
work to date has been in the field of planetesimal dynamics I am
certainly interested in other areas. I worked with Bob Thompson at
Cambridge to simulate the tidal stripping of small spiral galaxies in
order to explain the morphological features of Centaurus A and its
environs. My early code has been used by other groups to study similar
problems, most notably by Rodrigo Ibata and Geraint Lewis to model the
disruption of dwarf galaxies by our own galaxy. In earlier work with
Geraint Lewis I adapted my tree code to a ln(r) potential for
gravitational microlensing studies. In the future I would like to
experiment with SPH or other hydrodynamical techniques in order to
study giant planet formation.
Related paper
Data Visualization & Public Outreach
I have considerable interest in methods of data visualization. To
help with the interpretation of results from my numerical work I have
developed visualization techniques that have led to the production of
several videos illustrating models of tidal breakup and planet
formation. Some of the animations feature full 3D rendering with ray
tracing. The videos have been popular at talks, especially in more
public forums such as astronomy society meetings. I have also
generated VRML worlds to aid visualization. Finally, I have developed
public-domain software for ``live'' animation of computer images. I
enjoy working on these projects and sharing the results with the
public. I hope to further refine these techniques and software to make
them more efficient and easier to use, both for my own work and for
use by others.
|
Last modified: May 11, 2001
|
|