Hard disk radial distribution function

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SUMMARY

The discussion centers on comparing the radial distribution function (RDF) obtained from molecular dynamics simulations of hard disks with theoretical RDFs. It highlights the unreliability of theoretical approaches for hard-core interactions and suggests that empirical data or results from different computer simulations may provide more accurate comparisons. The participant emphasizes the importance of validating simulation results against published data rather than solely relying on theoretical predictions.

PREREQUISITES
  • Understanding of molecular dynamics simulations
  • Familiarity with radial distribution functions (RDF)
  • Knowledge of statistical physics principles
  • Experience with Monte Carlo simulations
NEXT STEPS
  • Research empirical data on hard disk fluid radial distribution functions
  • Learn about Monte Carlo simulation techniques for hard-core interactions
  • Explore various theoretical approaches to radial distribution functions
  • Investigate the use of Google Scholar for academic research on RDFs
USEFUL FOR

Researchers and practitioners in computational physics, molecular dynamics simulation developers, and anyone involved in the study of hard-core interactions in statistical physics.

Jeno
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Hi, i am running a hard disks molecular dynamics simulation. I would like to compare the radial distribution function obtained from my simulation with the theoretical radial distribution function. May i know what is the theoretical radial distribution function? Or what data do people normally compare with when they do molecular dynamic simulation?

Thank you.
 
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In statistical physics, there is not "the theory", but a variety of theory approaches. From my experience, theory for hard-core interactions is unreliable. I'm working on a model with hard-core interaction for which a whole zoo of theory approaches and results exist - and most of them are wrong. I don't know how accurate correlation functions from theory predictions are. But I would not compare radial distribution functions to theory results unless I have reason to believe this particular result to be correct (of course you can be pragmatic, compare, and call the theory result correct if it fits your data :biggrin:). One option is to compare to experiment. Assuming you want to test your code: just compare to a different computer simulation (worst case I could dig out my old Monte Carlo code, but you probably want to compare against published data, anyways). Also note that searching Google Scholar for "hard disk fluid radial distribution function" gives about 24000 hits; it's not exactly an exotic model or observable that you are looking at.
 

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