ICTS:31629

Video URL

Particle-in-cell approach to Vicsek model on curved surfaces

Particle-in-cell approach to Vicsek model on curved surfaces

(2025). Particle-in-cell approach to Vicsek model on curved surfaces. SciVideos. https://youtu.be/vyNajxT5T54

Particle-in-cell approach to Vicsek model on curved surfaces. SciVideos, Apr. 24, 2025, https://youtu.be/vyNajxT5T54 

          @misc{ scivideos_ICTS:31629,
            doi = {},
            url = {https://youtu.be/vyNajxT5T54},
            author = {},
            keywords = {},
            language = {en},
            title = {Particle-in-cell approach to Vicsek model on curved surfaces},
            publisher = {},
            year = {2025},
            month = {apr},
            note = {ICTS:31629 see, \url{https://scivideos.org/icts-tifr/31629}}
          }
Jaya Kumar Alageshan
Talk numberICTS:31629
Source RepositoryICTS-TIFR
Collection

Abstract

We present PIC-VIC, a novel computational framework for simulating collective behavior of self-propelled particles on curved surfaces. Building upon the Particle-in-Cell (PIC) method, widely used in plasma physics, we track individual particles (Lagrangian description) while employing a static Eulerian mesh for interaction calculations. Using mesh with arbitrary geometries we extend the Vicsek model to study flocking dynamics on curved manifolds. Crucially, we incorporate Laplace-Beltrami based vector diffusion to ensure geometrically consistent averaging of particle velocities, effectively implementing parallel transport on the curved surface. This particle-based PIC-VIC method complements continuum active-hydrodynamics approaches and allows for the investigation of curvature-induced fluctuations. We demonstrate the capabilities of PIC-VIC and discuss its potential for uncovering novel collective phenomena, emergent patterns, and geometry-driven interactions in biological, physical, and artificial systems constrained to non-Euclidean spaces.