Dr Rahil Valani: Publications

Attractor-Driven Matter

(2025)

Abstract:

Attractors such as fixed points, limit cycles and strange attractors arise in nonlinear dynamical systems, however, such attractors may also be used to drive complex dynamics. By using a low-dimensional chaotic dynamical system to model each particle’s internal state space, we present a new class of matter coined “attractor-driven matter”. Through illustrative examples, I will show how attractor-driven particles when combined with particle-particle interactions and environment can give rise to complex dynamical and emergent behaviors reminiscent of active matter. The formalism may be applicable more broadly, to model complex dynamical and emergent behaviors in a variety of contexts.

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Tunneling in a Lorenz-like model for an active wave-particle entity

Physical Review E American Physical Society (APS) 111:3 (2025) 034218

Authors:

Runze Xu, Rahil N Valani

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Megastable quantization in generalized pilot-wave hydrodynamics

Physical Review E American Physical Society (APS) 111:2 (2025) l022201

Authors:

Álvaro G López, Rahil N Valani

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Asymmetric limit cycles within Lorenz chaos induce anomalous mobility for a memory-driven active particle

Physical Review E American Physical Society (APS) 110:5 (2024) l052203

Authors:

Rahil N Valani, Bruno S Dandogbessi

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Erratum: “Utilizing bifurcations to separate particles in spiral inertial microfluidics” [Phys. Fluids 35, 011703 (2023)]

Physics of Fluids AIP Publishing 36:10 (2024) 109906

Authors:

Rahil N Valani, Brendan Harding, Yvonne M Stokes

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Dr Rahil Valani

Sub department

Attractor-Driven Matter

Abstract:

Tunneling in a Lorenz-like model for an active wave-particle entity

Authors:

Megastable quantization in generalized pilot-wave hydrodynamics

Authors:

Asymmetric limit cycles within Lorenz chaos induce anomalous mobility for a memory-driven active particle

Authors:

Erratum: “Utilizing bifurcations to separate particles in spiral inertial microfluidics” [Phys. Fluids 35, 011703 (2023)]

Authors:

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Dr Rahil Valani

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Attractor-Driven Matter

Abstract:

Tunneling in a Lorenz-like model for an active wave-particle entity

Authors:

Megastable quantization in generalized pilot-wave hydrodynamics

Authors:

Asymmetric limit cycles within Lorenz chaos induce anomalous mobility for a memory-driven active particle

Authors:

Erratum: “Utilizing bifurcations to separate particles in spiral inertial microfluidics” [Phys. Fluids 35, 011703 (2023)]

Authors: