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The continuous Θ transition of polymers separates collapsed globular conformations at low temperature from random coils that resemble self-avoiding walks (SAWs) at high temperature. Since D = 3 is the upper critical dimension, logarithmic corrections to scaling are expected at the Θ point and have been predicted by theory (3.J. Phys. 43:991–1019). Their verification by means of Monte Carlo simulations is difficult since very long chains such as the one shown in Fig. 1 need to be studied and previous attempts mostly carried out on lattice systems have not been successful.

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Long Lennard–Jones Polymers at the Theta Point

  • 章节

  • 发表日期：

    2025年

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  • Stefan Schnabel,
  • Wolfhard Janke

摘要

The continuous Θ transition of polymers separates collapsed globular conformations at low temperature from random coils that resemble self-avoiding walks (SAWs) at high temperature. Since D = 3 is the upper critical dimension, logarithmic corrections to scaling are expected at the Θ point and have been predicted by theory (3.J. Phys. 43:991–1019). Their verification by means of Monte Carlo simulations is difficult since very long chains such as the one shown in Fig. 1 need to be studied and previous attempts mostly carried out on lattice systems have not been successful.