Continuity and discontinuity of kirigami's high-extensibility transition: A statistical-physics viewpoint
Recently, kirigami's high extensibility has been understood as a transition in the force-elongation curve. In this Rapid Communication, we consider a model, which modifies our previous model, to show a striking analogy between the present theory and the Landau theory of continuous thermodynamic...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2019-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.1.022001 |
| _version_ | 1797211663824322560 |
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| author | Midori Isobe Ko Okumura |
| author_facet | Midori Isobe Ko Okumura |
| author_sort | Midori Isobe |
| collection | DOAJ |
| description | Recently, kirigami's high extensibility has been understood as a transition in the force-elongation curve. In this Rapid Communication, we consider a model, which modifies our previous model, to show a striking analogy between the present theory and the Landau theory of continuous thermodynamic transitions, if we regard a rotation angle and elongation of kirigami as the order parameter and the inverse temperature, respectively. The present study points out the importance of the distinction between the discontinuity and continuity of the high-extensibility transition in an elementary kirigami structure, and shows that the mechanical response of kirigami can be understood using the tools of statistical physics, which have been proved to be useful in many fields of physics. |
| first_indexed | 2024-04-24T10:30:04Z |
| format | Article |
| id | doaj.art-4a042b0b224c48ae97f38909beecc13f |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:30:04Z |
| publishDate | 2019-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-4a042b0b224c48ae97f38909beecc13f2024-04-12T16:45:31ZengAmerican Physical SocietyPhysical Review Research2643-15642019-09-011202200110.1103/PhysRevResearch.1.022001Continuity and discontinuity of kirigami's high-extensibility transition: A statistical-physics viewpointMidori IsobeKo OkumuraRecently, kirigami's high extensibility has been understood as a transition in the force-elongation curve. In this Rapid Communication, we consider a model, which modifies our previous model, to show a striking analogy between the present theory and the Landau theory of continuous thermodynamic transitions, if we regard a rotation angle and elongation of kirigami as the order parameter and the inverse temperature, respectively. The present study points out the importance of the distinction between the discontinuity and continuity of the high-extensibility transition in an elementary kirigami structure, and shows that the mechanical response of kirigami can be understood using the tools of statistical physics, which have been proved to be useful in many fields of physics.http://doi.org/10.1103/PhysRevResearch.1.022001 |
| spellingShingle | Midori Isobe Ko Okumura Continuity and discontinuity of kirigami's high-extensibility transition: A statistical-physics viewpoint Physical Review Research |
| title | Continuity and discontinuity of kirigami's high-extensibility transition: A statistical-physics viewpoint |
| title_full | Continuity and discontinuity of kirigami's high-extensibility transition: A statistical-physics viewpoint |
| title_fullStr | Continuity and discontinuity of kirigami's high-extensibility transition: A statistical-physics viewpoint |
| title_full_unstemmed | Continuity and discontinuity of kirigami's high-extensibility transition: A statistical-physics viewpoint |
| title_short | Continuity and discontinuity of kirigami's high-extensibility transition: A statistical-physics viewpoint |
| title_sort | continuity and discontinuity of kirigami s high extensibility transition a statistical physics viewpoint |
| url | http://doi.org/10.1103/PhysRevResearch.1.022001 |
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