Franz J. Vesely > Lectures > LJ Sticks 
 

 
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DISCUSSION

  • No fitting parameters, just length and strength (total LJ load)

  • Is it competitive?

      LJ lines 6 LJ sites Gay-Berne
    end-to-end 0.858e-04 0.216e-04 0.172e-05
    tee 0.412e-04 0.216e-04 0.119e-05

    Computing times (seconds) per pair interaction (Pentium M CPU; 1.7 GHz; F77 compiler.)
    "tee": $\rho=0$; end-to-end: $\rho \rightarrow 1$


  • Should be approached by many-site model:


    Comparison of LJL and multisite potentials with $9 \dots 72$ LJ sites: "tee" configuration; $L=4$

  • Comparison with 4LJ (= standard used to gauge Gay-Berne):


    Comparison of LJL and 4LJ multisite models for selected configurations.
    Left ... side-by-side; middle ... tee; right ... end-to-end; full lines ... LJL; dotted ... 4LJ



OUTLOOK

  • Eq. of state by MC, for various lengths
  • Demixing, possibly smectic layering (see Lukac)
  • Molecular dynamics? - Force is manageable, torque still under way
  • Theory: Good ideas for defining reference and pertubative potentials needed. (Don't divide the elementary LJ interaction!)




  "Don't try - do, or do not!"
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vesely nov-2006