Topological-distance-dependent transition in flocks with binary interactions

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Biplab BhattacherjeeS S Manna

Abstract

We have studied a flocking model with binary interactions (binary flock), where the velocity of an agent depends on the velocity of only another agent and its own velocity, topped by the angular noise. The other agent is selected as the nth topological neighbor; the specific value of n being a fixed parameter of the problem. On the basis of extensive numerical simulation results, we argue that for n = 1, the phase transition from the ordered to the disordered phase of the flock is a special kind of discontinuous transition. Here, the order parameter does not flip-flop between multiple metastable states. It continues its initial disordered state for a period t_{c}, then switches over to the ordered state and remains in this state ever after. For n = 2, it is the usual discontinuous transition between two metastable states. Beyond this range, the continuous transitions are observed for n≥3. Such a system of binary flocks has been further studied using the hydrodynamic equations of motion. Linear stability analysis of the homogeneous polarized state shows that such a state is unstable close to the critical point and above some critical speed, which increases as we increase n. The critical noise strengths, which depend on the avera...Continue Reading

References

Aug 7, 1995·Physical Review Letters·T VicsekO Shochet
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Daniel L Blair, A Kudrolli
Feb 3, 2004·Physical Review Letters·Guillaume Grégoire, Hugues Chaté
May 23, 2006·Physical Review Letters·Hugues ChatéRaúl Montagne
Mar 16, 2007·Physical Review Letters·M AldanaH Larralde
Jul 7, 2007·Science·Vijay NarayanNarayanan Menon
Jan 30, 2008·Proceedings of the National Academy of Sciences of the United States of America·M BalleriniV Zdravkovic
Feb 1, 2008·Physical Review Letters·Hugues ChatéGuillaume Grégoire
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hugues ChatéFranck Raynaud
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Péter SzabóTamás Vicsek
Jan 15, 2011·Physical Review Letters·Francesco Ginelli, Hugues Chaté
Sep 26, 2012·Physical Review Letters·Anton PeshkovFrancesco Ginelli

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Yen-Liang ChouThomas Ihle
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
M Y ChoiH Hong
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Y S ChoD Kim
© 2022 Meta ULC. All rights reserved