Disorder to Order Transition in 1D non-reciprocal Cahn-Hilliard Model
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908888790466560 |
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| author | Rana, Navdeep Golestanian, Ramin |
| author_facet | Rana, Navdeep Golestanian, Ramin |
| contents | We present the phenomenology of the one dimensional non-reciprocal Cahn Hilliard model for varying non-reciprocity $(α)$ and different boundary conditions. At small $α$, a perturbed uniform state evolves to a defect laden configuration that lacks global polar order. Defects are the sources and sinks of travelling waves. For a given $α$, defects with a unique wave number that increases monotonically with $α$ are selected. A critical threshold $α_c$ marks the onset of a transition to states with finite global polar order. For periodic boundary conditions, above $α_c$, the system shows travelling waves that are completely ordered. In contrast, travelling waves are incompatible with the Neumann and Dirichlet boundary conditions. Instead, for $α\gtrsim α_c$, we find fluctuating domains that show intermittent polar order and at large $α$, the system partitions into two domains with opposite polar order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11580 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Disorder to Order Transition in 1D non-reciprocal Cahn-Hilliard Model Rana, Navdeep Golestanian, Ramin Soft Condensed Matter Statistical Mechanics Computational Physics We present the phenomenology of the one dimensional non-reciprocal Cahn Hilliard model for varying non-reciprocity $(α)$ and different boundary conditions. At small $α$, a perturbed uniform state evolves to a defect laden configuration that lacks global polar order. Defects are the sources and sinks of travelling waves. For a given $α$, defects with a unique wave number that increases monotonically with $α$ are selected. A critical threshold $α_c$ marks the onset of a transition to states with finite global polar order. For periodic boundary conditions, above $α_c$, the system shows travelling waves that are completely ordered. In contrast, travelling waves are incompatible with the Neumann and Dirichlet boundary conditions. Instead, for $α\gtrsim α_c$, we find fluctuating domains that show intermittent polar order and at large $α$, the system partitions into two domains with opposite polar order. |
| title | Disorder to Order Transition in 1D non-reciprocal Cahn-Hilliard Model |
| topic | Soft Condensed Matter Statistical Mechanics Computational Physics |
| url | https://arxiv.org/abs/2510.11580 |