Shape-specific fluctuations of an active colloidal interface
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915774877138944 |
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| author | Subramaniam, Arvin Banerjee, Tirthankar Singh, Rajesh |
| author_facet | Subramaniam, Arvin Banerjee, Tirthankar Singh, Rajesh |
| contents | Motivated by a recently synthesizable class of active interfaces formed by linked self--propelled colloids, we investigate the dynamics and fluctuations of a phoretically (chemically) interacting active interface with roto--translational coupling. We enumerate all steady--state shapes of the interface across parameter space and identify a regime where the interface acquires a finite curvature, leading to a characteristic ''C--shaped'' topology, along with persistent self--propulsion. In this phase, the interface height fluctuations obey Family--Vicsek scaling but with novel exponents: a dynamic exponent $z_h \approx 0.5$, a roughness exponent $α_h \approx 0.9$ and a super--ballistic growth exponent $β_h \approx 1.7$. In contrast, the orientational fluctuations of the colloidal monomers exhibit a negative roughness exponent, reflecting a surprising smoothness law, where steady--state fluctuations diminish with increasing system size. Together, these findings point towards a unique non--equilibrium universality class associated with self--propelled interfaces of non--standard shape. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08567 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Shape-specific fluctuations of an active colloidal interface Subramaniam, Arvin Banerjee, Tirthankar Singh, Rajesh Soft Condensed Matter Statistical Mechanics Motivated by a recently synthesizable class of active interfaces formed by linked self--propelled colloids, we investigate the dynamics and fluctuations of a phoretically (chemically) interacting active interface with roto--translational coupling. We enumerate all steady--state shapes of the interface across parameter space and identify a regime where the interface acquires a finite curvature, leading to a characteristic ''C--shaped'' topology, along with persistent self--propulsion. In this phase, the interface height fluctuations obey Family--Vicsek scaling but with novel exponents: a dynamic exponent $z_h \approx 0.5$, a roughness exponent $α_h \approx 0.9$ and a super--ballistic growth exponent $β_h \approx 1.7$. In contrast, the orientational fluctuations of the colloidal monomers exhibit a negative roughness exponent, reflecting a surprising smoothness law, where steady--state fluctuations diminish with increasing system size. Together, these findings point towards a unique non--equilibrium universality class associated with self--propelled interfaces of non--standard shape. |
| title | Shape-specific fluctuations of an active colloidal interface |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2509.08567 |