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Programs Computational Simulations and a Phyiscs Phd

  1. Jul 10, 2006 #1
    I will be applying to graduate school this coming winter, and I'm having difficulty deciding what field I should be directing my effort towards.

    My background: I have a bachelor's a physics, and my senior project was to write an N-body program that simulated galaxy collisions with the inclusion of dark matter. I've also tackled several other physical problems at my job, such as simulations of sensors, simulations of magnetic fields, etc.

    My main interest: Computational simulation of physical systems. The main issue I have is that I feel I would be content designing simulations of almost any physical system. I could focus on galaxies, traffic flow, hurricanes, molecular interations, field calculations, etc, anything where I get to model reality in a virtual environment.

    I don't think that computer science is the way I wish to go. I am interested in the theoretic side of the actual problems, not the most efficient way to code. I feel that coding efficiency is something that I can pick up by myself.

    So I guess my question is: How should I apply? Should I apply very specifically to a certain field that is deeply dependent on computational simulation? Or should I apply broadly, and not really show preference to any particular sub-field?
     
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  3. Jul 10, 2006 #2

    Dr Transport

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    Most physics today is done via computer simulation... If you are interseted in Computational Physics, there are plenty of places to go. Oregon State has a decent program

    http://www.physics.oregonstate.edu/

    From my experience, most graduate departments have limited instruction in computational physics per se, mostly just computer methods in physics. I learned what I know about computatinal physics th ahard way by doing and making many mistakes.
     
  4. Jul 10, 2006 #3

    Gokul43201

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    I would recommend (hard or soft) Condensed Matter. There's fabulously interesting physics in both areas that lend to computational modeling.
     
  5. Jul 10, 2006 #4
    Thanks Dr Transport...any other recommendations? I scored fairly well on the Physics GRE, so I don't believe the top programs are beyond my reach...
     
  6. Jul 10, 2006 #5

    Dr Transport

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    It depends on whqat you want to do, where you want to go etc..... My alma mater had a computatinal physics undergrad program in the 80's and I could have had a masters thru the deans office as an indisiplinary (sic) student in computers and physics but I had absolutly no clue about programming until I went back for a PhD and took a Fortran course. Hind-sight is 20-20 and I would have looked for a way to get into programming much earlier in my career. I'm trying to get back into it full-time thru my employer to little avail.

    Soft-mater is a way to go, lots of work in computational fluid dynamics if you prefer. I tend to not push the envelope and poke around some of the more mundane problems and squeak little more out of someone elses theories.

    SUNY at Buffalo http://www.physics.buffalo.edu/, has a computational physics program which isn't too bad either. I gotta go looking for others, but as I said before, most physics toay is done via compiler and simulation.
     
  7. Jul 10, 2006 #6

    robphy

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  8. Jul 10, 2006 #7
    Guillochon: curious to know what language for the sims you use or what types of packages? or do you code most things from scratch?
     
  9. Jul 11, 2006 #8
    I have been doing everything from scratch, Fortran/C/C++...occasionally Matlab to prototype.
     
  10. Jul 11, 2006 #9

    Clausius2

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    Hurricanes, that's kind of cool. You should know there is a lot of science on Computational Fluid Dynamics. The turbulent systems are almost an enigma for nowadays scientists. Try to take a look at UCSD. We have here the SD Super Computer Center, and people working on turbulence uses to simulate with DNS techniques and run it on this center. The dynamics of turbulent structures is something of interest today. We scarcely understand it, and the applications in engineering and science are huge.
     
  11. Jul 11, 2006 #10
    Guillochen: so you don't use a numerical packages like Numerical Recipres/ CLAPack/Netlib etc? Do you use a Rendering Package? btw what you do is cool...hopefully i'll get there within the next 2-3 years.
     
  12. Jul 11, 2006 #11
    Nope. Everything from scratch, even output images.

    Anyhow, so it looks like we have some advocates of soft condensed matter...I'll look into that, but could anyone give a brief run-down on the problems the field tackles?
     
  13. Jul 11, 2006 #12
    nowadays every subfield of physics (including experimental) uses computer models to some degree at least, but I think theoretical astrophysics is a field where people rely on modeling almost exclusively.
     
    Last edited: Jul 11, 2006
  14. Jul 12, 2006 #13

    Gokul43201

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    Here's a couple that I'm aware of:

    1. Complex fluids: Simple fluids are those that can be modeled by Navier-Stokes behavior. Properties like viscosity are essentially independent of the flow. A lot is understtod about these fluids. Complex fluids, however, do not even remotely obey NS. They include polymers, various multiphase suspensions (foams, colloids,...) and other such stuff, and exhibit quite bizarre properties (eg:Weissenberg effect, non-linear diffusion) that are very hard to model.

    2. Percolation theory: This started off as a soft CM problem involving "percolation" through a network of interconnected channels, but soon found application in other areas like hard CM, high energy physics and many branches of engineering (phase transitions, conductivity of two-phase solids, electrical network analysis).

    3. Pattern formation and propagation: All kinds of interesting phase behavior is modeled here - from understanding shape effects in liquid crystals to phase transitions in anything from highly disordered 2D solids to highly correlated electron systems.

    And then there's all the other magic that falls under non-linear dynamics (eddies and vortices, granular systems, traffic flow, neural networks)
     
  15. Jul 12, 2006 #14
    Actually, precious little is really understood about the Navier-Stokes behaviour.

    At the slow end of the scale, we have incompressible, viscous flows.

    At the high speed end, we have high-speed, compressible, flows with Mach numbers crossing through M=1 & into hypersonics. These are the N-S equations minus the viscosity terms - the so-called Euler equations.

    There is a huge no-man's land between these two extremes, with some extrapolation backwards from the high-speed compressible forms.

    The simple facts are that the N-S equations are notoriously unstable, requiring all sorts of numeric kludges just to provide numeric stability - but, unfortunately, at the expense of accuracy. Why do N-S solvers 'blow up'? No-one has yet found a suitable theory for this.

    120 years ago, Reynolds performed a famous pipe flow experiment, where he observed the onset of turbulence. No-one, to this day, can explain his findings.

    At what set of circumstances does the 'onset of instability' occur? Again, lots of research, but no clear-definative answers. What mechanisms are at work?

    So, in reality this is a very, very fertile research ground, without moving away from Newtonian-type fluids. :rofl:
     
  16. Jul 12, 2006 #15

    Clausius2

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    AMEN!!!

    And just add MagnetoHydrodynamics in which there is a lot to do.

    :approve:
     
  17. Jul 12, 2006 #16

    Gokul43201

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    desA, I agree with your assessment. Descriptions like "a lot" and "precious little" are naturally, subjective and mean different things coming from different frames of reference. Compared to our understanding of complex fluids, our understanding of simple fluids may appear to be "a lot". But compared to essentially linear systems, "precious little" is really known about highly nonlinear systems like a Navier-Stokes fluid.
     
  18. Jul 16, 2006 #17
    If you're into magnetohydrodynamics (MHD), consider space physics! It covers different areas of the solar system, with emphasis on the sun-earth environment. E&M fields, solar wind speed, density, and temperature are the focus. Space weather forcasting in particular is a new and growing field, and it can be quite lucrative if you want to get into the satellite industry. There's a good summary of the field on the Center for Integrated Space Weather Modelling website www.bu.edu/cism.
     
  19. Jul 17, 2006 #18

    J77

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    I went to a talk by David Gross about the future of Physics the other day...

    He made a comment that in the future there will be no more analytic work, things will be done as "computer assisted proofs".

    Caused a slight ripple in the audience :biggrin:
     
  20. Jul 17, 2006 #19
    So I guess the general consensus is that I should decide what topic interests me most, because there is simulation work in almost every field of physics...
     
  21. Jul 17, 2006 #20
    learning about N-body problems and fluid dynamics i think would be a start...Game Physics may be a area you might be interested in or designing Physics-based Virtual Reality. Astrophysics Sims/Geophysics Sims fascinate me th emost.
     
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