Rubik's cube: An energy perspective

Yiing Rei Chen, Chi Lun Lee

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)


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.

期刊Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
出版狀態已發佈 - 2014 1月 29

ASJC Scopus subject areas

  • 統計與非線性物理學
  • 統計與概率
  • 凝聚態物理學


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