Large density expansion of a hydrodynamic theory for self-propelled particles

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Density-Independent Model of Self-Propelled Particles

One of the most studied models of collective motion is the Vicsek model [1], which exhibits a continuous phase transition between disordered and ordered motion as an external noise is varied. The particles of the Vicsek model interact with all neighbors within a fixed distance, and the density of the particles is an important parameter of the model. On the other hand, empirical investigations o...

متن کامل

Active jamming: self-propelled soft particles at high density.

We study numerically the phases and dynamics of a dense collection of self-propelled particles with soft repulsive interactions in two dimensions. The model is motivated by recent in vitro experiments on confluent monolayers of migratory epithelial and endothelial cells. The phase diagram exhibits a liquid phase with giant number fluctuations at low packing fraction φ and high self-propulsion s...

متن کامل

Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis

Considering a gas of self-propelled particles with binary interactions, we derive the hydrodynamic equations governing the density and velocity fields from the microscopic dynamics, in the framework of the associated Boltzmann equation. Explicit expressions for the transport coefficients are given, as a function of the microscopic parameters of the model. We show that the homogeneous state with...

متن کامل

A continuum model for alignment of self-propelled particles with anisotropy and density-dependent parameters

We consider the macroscopic model derived by Degond and Motsch from a time-continuous version of the Vicsek model, describing the interaction orientation in a large number of self-propelled particles. In this article, we study the influence of a slight modification at the individual level, letting the relaxation parameter depend on the local density and taking in account some anisotropy in the ...

متن کامل

A continuum model for nematic alignment of self-propelled particles

A continuum model for a population of self-propelled particles interacting through nematic alignment is derived from an individual-based model. The methodology consists of introducing a hydrodynamic scaling of the corresponding mean-field kinetic equation. The resulting perturbation problem is solved thanks to the concept of generalized collision invariants. It yields a hyperbolic but non-conse...

متن کامل

ذخیره 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: The European Physical Journal Special Topics

سال: 2015

ISSN: 1951-6355,1951-6401

DOI: 10.1140/epjst/e2015-02461-4