On Collective Motion of Rotational Invariant System Composed ofN-Particles
نویسندگان
چکیده
منابع مشابه
The Asymptotic Behavior of Invariant Collective Motion
Let G be a connected complex reductive group acting on a smooth algebraic variety X. Then the cotangent bundle T ∗ X on X carries a canonical symplectic structure, and the G-action induces a moment map Φ : T ∗ X → g . Consider the Hamiltonian vector fields attached to functions of the form f ◦ Φ with f ∈ C[g]. In this paper we study the asymptotic behavior of the associated flow (a so-called in...
متن کاملCollective translational and rotational Monte Carlo moves for attractive particles.
Virtual move Monte Carlo is a Monte Carlo (MC) cluster algorithm forming clusters via local energy gradients and approximating the collective kinetic or dynamic motion of attractive colloidal particles. We carefully describe, analyze, and test the algorithm. To formally validate the algorithm through highlighting its symmetries, we present alternative and compact ways of selecting and accepting...
متن کاملStabilization of Collective Motion of Self-Propelled Particles
This paper presents analysis and design of feedback control laws for stabilization of parallel and circular trajectories of a network of self-propelled particles. Timescale separation of inter-particle alignment and spacing controls permits application of previous convergence results for oscillator phase synchronization and particle motion.
متن کاملCollective motion of rod-shaped self-propelled particles through collision
Self-propelled rods, which propel by themselves in the direction from the tail to the head and align nematically through collision, have been well-investigated theoretically. Various phenomena including true long-range ordered phase with the Giant number fluctuations, and the collective motion composed of many vorices were predicted using the minimal mathematical models of self-propelled rods. ...
متن کاملCollective motion of self-propelled particles interacting without cohesion.
We present a comprehensive study of Vicsek-style self-propelled particle models in two and three space dimensions. The onset of collective motion in such stochastic models with only local alignment interactions is studied in detail and shown to be discontinuous (first-order-like). The properties of the ordered, collectively moving phase are investigated. In a large domain of parameter space inc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1969
ISSN: 0033-068X
DOI: 10.1143/ptp.42.581