The Rubik's cube problem revisited: A statistical thermodynamic approach

C. L. Lee, M. C. Huang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Inspired by the protein folding problem, we propose a Rubik's cube model and study its thermodynamic and kinetic behavior. We find that the energy landscape contains a tiny funnel-like region, as the dynamics towards the native state is mostly diffusive. In particular, from Monte Carlo simulations we observe exponential kinetics in the first-passage-time distribution towards the native state at all temperatures considered, while the complexity of the energy landscape is exhibited through a stretched-exponential relaxation of the energy autocorrelation function. The rollover feature in the mean first passage time, as observed in many protein-folding dynamics studies, is captured again in our model and discussed under the statistical energy landscape approach.

Original languageEnglish
Pages (from-to)257-261
Number of pages5
JournalEuropean Physical Journal B
Volume64
Issue number2
DOIs
StatePublished - Jul 2008

Keywords

  • 82.20.-w Chemical kinetics and dynamics
  • 82.37.Np Single molecule reaction kinetics, dissociation, etc.

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