Rubik's cube: An energy perspective

Yiing Rei Chen, Chi Lun Lee

研究成果: 雜誌貢獻文章

摘要

What if we played the Rubik's cube game by simple intuition? We would rotate the cube, probably in the hope of getting a more organized pattern in each next step. Yet frustration occurs easily, and we soon find ourselves trapped as the game progresses no further. Played in this completely strategy-less style, the entire problem of the Rubik's cube game can be compared to that of complex chemical reactions such as protein folding, only with less guidance in the searching process. In this work we look into this random-searching process by means of thermodynamics and compare the game's dynamics with that of a faithful stochastic model constructed from the statistical energy landscape theory (SELT). This comparison reveals the peculiar nature of SELT, which relies on the random energy approximation and often chops up energy correlations among nearby configurations. Our observation provides a general insight for the use of SELT in the studies of these frustrated systems.

原文英語
文章編號012815
期刊Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
89
發行號1
DOIs
出版狀態已發佈 - 2014 一月 29

指紋

Hope
Intuition
Energy Landscape
Frustration
Protein Folding
Statistical Models
Thermodynamics
Regular hexahedron
games
Observation
Game
Energy
Dynamic Games
Faithful
Chemical Reaction
Guidance
Stochastic Model
energy
Entire
frustration

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

引用此文

Rubik's cube : An energy perspective. / Chen, Yiing Rei; Lee, Chi Lun.

於: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 卷 89, 編號 1, 012815, 29.01.2014.

研究成果: 雜誌貢獻文章

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