### 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 |

卷 | 89 |

發行號 | 1 |

DOIs | |

出版狀態 | 已發佈 - 2014 一月 29 |

### 指紋

### ASJC Scopus subject areas

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

### 引用此文

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*89*(1), [012815]. https://doi.org/10.1103/PhysRevE.89.012815

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

研究成果: 雜誌貢獻 › 文章

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, 卷 89, 編號 1, 012815. https://doi.org/10.1103/PhysRevE.89.012815

}

TY - JOUR

T1 - Rubik's cube

T2 - An energy perspective

AU - Chen, Yiing Rei

AU - Lee, Chi Lun

PY - 2014/1/29

Y1 - 2014/1/29

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84894540594&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevE.89.012815

DO - 10.1103/PhysRevE.89.012815

M3 - Article

AN - SCOPUS:84894540594

VL - 89

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 1

M1 - 012815

ER -