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6 - Off-lattice models

Published online by Cambridge University Press:  24 November 2021

David Landau  and
Kurt Binder
David Landau
Affiliation:
University of Georgia
Kurt Binder
Affiliation:
Johannes Gutenberg Universität Mainz, Germany
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Summary

The examination of the equation of state of a two-dimensional model fluid (the hard disk system) was the very first application of the importance sampling Monte Carlo method in statistical mechanics (Metropolis et al., 1953), and since then the study of both atomic and molecular fluids by Monte Carlo simulation has been a very active area of research. Remember that statistical mechanics can deal well analytically with very dilute fluids (ideal gases), and it can also deal well with crystalline solids (making use of the harmonic approximation and perfect crystal lattice periodicity and symmetry), but the treatment of strongly correlated dense fluids (and their solid counterparts, amorphous glasses) is much more difficult. Even the description of short range order in fluids in a thermodynamic state far away from any phase transition is a non-trivial matter (unlike the lattice models discussed in Chapter 5, where far away from phase transitions the molecular field approximation, or a variant thereof, is usually both good enough and easily worked out, and the real interest is generally in phase transition problems).

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A Guide to Monte Carlo Simulations in Statistical Physics , pp. 243 - 325
Publisher: Cambridge University Press
Print publication year: 2021

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  • Off-lattice models
  • David Landau, University of Georgia, Kurt Binder, Johannes Gutenberg Universität Mainz, Germany
  • Book: A Guide to Monte Carlo Simulations in Statistical Physics
  • Online publication: 24 November 2021
  • Chapter DOI: https://doi.org/10.1017/9781108780346.007
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  • Off-lattice models
  • David Landau, University of Georgia, Kurt Binder, Johannes Gutenberg Universität Mainz, Germany
  • Book: A Guide to Monte Carlo Simulations in Statistical Physics
  • Online publication: 24 November 2021
  • Chapter DOI: https://doi.org/10.1017/9781108780346.007
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  • Off-lattice models
  • David Landau, University of Georgia, Kurt Binder, Johannes Gutenberg Universität Mainz, Germany
  • Book: A Guide to Monte Carlo Simulations in Statistical Physics
  • Online publication: 24 November 2021
  • Chapter DOI: https://doi.org/10.1017/9781108780346.007
Available formats
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