Melting of two-dimensional biological tissues containing active Ornstein–Uhlenbeck cells
The solid–liquid transition of biological tissues is numerically investigated in the presence of Ornstein–Uhlenbeck noise. We demonstrate that the melting scenario of the system is controlled by three parameters: temperature, the persistence time that controls the nonequilibrium properties of the sy...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2021-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac1d37 |
| _version_ | 1797750098649677824 |
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| author | Jia-jian Li Bao-quan Ai |
| author_facet | Jia-jian Li Bao-quan Ai |
| author_sort | Jia-jian Li |
| collection | DOAJ |
| description | The solid–liquid transition of biological tissues is numerically investigated in the presence of Ornstein–Uhlenbeck noise. We demonstrate that the melting scenario of the system is controlled by three parameters: temperature, the persistence time that controls the nonequilibrium properties of the system, and the target shape index that characterizes the competition between cell–cell adhesion and cortical tension. An increase in the persistence time always causes the system to transition from disordered (liquid state) to ordered (solid state). For stiff cells (small target shape index), on increasing temperature, the system undergoes the first order melting for short persistence time, while it undergoes a continuous solid–hexatic transition followed by a discontinuous hexatic–liquid transition for long persistence time. For soft cells (large target shape index), the melting always occurs via a continuous solid–hexatic transition followed by a discontinuous hexatic–liquid transition and the parameter range where the hexatic phase occurs increases with the persistence time. These behaviors are confirmed by the evolution of the density of topological defects. The phase diagrams of the system are also presented based on three parameters (temperature, the shape index, and the persistence time). Our study may contribute to the understanding of melting in two dimensional systems with many-body interactions and deformable particles. |
| first_indexed | 2024-03-12T16:28:44Z |
| format | Article |
| id | doaj.art-abb43bf47e9f42eb81e6632571d06264 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:28:44Z |
| publishDate | 2021-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-abb43bf47e9f42eb81e6632571d062642023-08-08T15:37:42ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123808304410.1088/1367-2630/ac1d37Melting of two-dimensional biological tissues containing active Ornstein–Uhlenbeck cellsJia-jian Li0Bao-quan Ai1https://orcid.org/0000-0002-3033-8630Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University , Guangzhou 510006, People’s Republic of China; Guangdong-Hong Kong Joint Laboratory of Quantum Matter, South China Normal University , Guangzhou 510006, People’s Republic of ChinaGuangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University , Guangzhou 510006, People’s Republic of China; Guangdong-Hong Kong Joint Laboratory of Quantum Matter, South China Normal University , Guangzhou 510006, People’s Republic of ChinaThe solid–liquid transition of biological tissues is numerically investigated in the presence of Ornstein–Uhlenbeck noise. We demonstrate that the melting scenario of the system is controlled by three parameters: temperature, the persistence time that controls the nonequilibrium properties of the system, and the target shape index that characterizes the competition between cell–cell adhesion and cortical tension. An increase in the persistence time always causes the system to transition from disordered (liquid state) to ordered (solid state). For stiff cells (small target shape index), on increasing temperature, the system undergoes the first order melting for short persistence time, while it undergoes a continuous solid–hexatic transition followed by a discontinuous hexatic–liquid transition for long persistence time. For soft cells (large target shape index), the melting always occurs via a continuous solid–hexatic transition followed by a discontinuous hexatic–liquid transition and the parameter range where the hexatic phase occurs increases with the persistence time. These behaviors are confirmed by the evolution of the density of topological defects. The phase diagrams of the system are also presented based on three parameters (temperature, the shape index, and the persistence time). Our study may contribute to the understanding of melting in two dimensional systems with many-body interactions and deformable particles.https://doi.org/10.1088/1367-2630/ac1d37meltingsolid–liquid transitiontwo-dimensional biological tissues |
| spellingShingle | Jia-jian Li Bao-quan Ai Melting of two-dimensional biological tissues containing active Ornstein–Uhlenbeck cells New Journal of Physics melting solid–liquid transition two-dimensional biological tissues |
| title | Melting of two-dimensional biological tissues containing active Ornstein–Uhlenbeck cells |
| title_full | Melting of two-dimensional biological tissues containing active Ornstein–Uhlenbeck cells |
| title_fullStr | Melting of two-dimensional biological tissues containing active Ornstein–Uhlenbeck cells |
| title_full_unstemmed | Melting of two-dimensional biological tissues containing active Ornstein–Uhlenbeck cells |
| title_short | Melting of two-dimensional biological tissues containing active Ornstein–Uhlenbeck cells |
| title_sort | melting of two dimensional biological tissues containing active ornstein uhlenbeck cells |
| topic | melting solid–liquid transition two-dimensional biological tissues |
| url | https://doi.org/10.1088/1367-2630/ac1d37 |
| work_keys_str_mv | AT jiajianli meltingoftwodimensionalbiologicaltissuescontainingactiveornsteinuhlenbeckcells AT baoquanai meltingoftwodimensionalbiologicaltissuescontainingactiveornsteinuhlenbeckcells |