Defect Solutions of the Non-reciprocal Cahn-Hilliard Model: Spirals and Targets
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914914386313216 |
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| author | Rana, Navdeep Golestanian, Ramin |
| author_facet | Rana, Navdeep Golestanian, Ramin |
| contents | We study the defect solutions of the Non-reciprocal Cahn-Hilliard model (NRCH). We find two kinds of defects, spirals with unit magnitude topological charge, and topologically neutral targets. These defects generate radially outward travelling waves and thus break the parity and time-reversal symmetry. For a given strength of non-reciprocity, spirals and targets with unique asymptotic wavenumber and amplitude are selected. We use large-scale simulations to show that at low non-reciprocity $α$, a quenched disordered state evolves into quasi-stationary spiral networks. With increasing $α$, we observe networks composed primarily of targets. Beyond a critical threshold $α_c$, a disorder-order transition from defect networks to travelling waves emerges. The transition is marked by a sharp rise in the global polar order. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_03513 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Defect Solutions of the Non-reciprocal Cahn-Hilliard Model: Spirals and Targets Rana, Navdeep Golestanian, Ramin Soft Condensed Matter Statistical Mechanics We study the defect solutions of the Non-reciprocal Cahn-Hilliard model (NRCH). We find two kinds of defects, spirals with unit magnitude topological charge, and topologically neutral targets. These defects generate radially outward travelling waves and thus break the parity and time-reversal symmetry. For a given strength of non-reciprocity, spirals and targets with unique asymptotic wavenumber and amplitude are selected. We use large-scale simulations to show that at low non-reciprocity $α$, a quenched disordered state evolves into quasi-stationary spiral networks. With increasing $α$, we observe networks composed primarily of targets. Beyond a critical threshold $α_c$, a disorder-order transition from defect networks to travelling waves emerges. The transition is marked by a sharp rise in the global polar order. |
| title | Defect Solutions of the Non-reciprocal Cahn-Hilliard Model: Spirals and Targets |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2306.03513 |