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Collective dynamics of a network of ratchets coupled via a stochastic dynamical environment

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Collective dynamics of a network of ratchets coupled via a stochastic dynamical environment. / Vincent, U. E.; Nana-Nbendjo, B. R.; McClintock, P. V. E.
In: Physical Review E, Vol. 87, No. 2, 022913, 22.02.2013.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Vincent, UE, Nana-Nbendjo, BR & McClintock, PVE 2013, 'Collective dynamics of a network of ratchets coupled via a stochastic dynamical environment', Physical Review E, vol. 87, no. 2, 022913. https://doi.org/10.1103/PhysRevE.87.022913

APA

Vincent, U. E., Nana-Nbendjo, B. R., & McClintock, P. V. E. (2013). Collective dynamics of a network of ratchets coupled via a stochastic dynamical environment. Physical Review E, 87(2), Article 022913. https://doi.org/10.1103/PhysRevE.87.022913

Vancouver

Vincent UE, Nana-Nbendjo BR, McClintock PVE. Collective dynamics of a network of ratchets coupled via a stochastic dynamical environment. Physical Review E. 2013 Feb 22;87(2):022913. doi: 10.1103/PhysRevE.87.022913

Author

Vincent, U. E. ; Nana-Nbendjo, B. R. ; McClintock, P. V. E. / Collective dynamics of a network of ratchets coupled via a stochastic dynamical environment. In: Physical Review E. 2013 ; Vol. 87, No. 2.

Bibtex

@article{96351944301042a5b207d6afb7b07dad,
title = "Collective dynamics of a network of ratchets coupled via a stochastic dynamical environment",
abstract = "We investigate the collective dynamics of a network of inertia particles diffusing in a ratchet potential and interacting indirectly through their stochastic dynamical environment. We obtain analytically the condition for the existence of a stable collective state, and we show that the number N of particles in the network, and the strength k of their interaction with the environment, play key roles in synchronization and transport processes. Synchronization is preceded by symmetry-breaking associated with double-resonance oscillations and is shown to be strongly dependent on the network size: convergence to the synchronization manifold occurs much faster with a large network. For small networks, increasing the noise level enhances synchronization in the weakly coupled regime, while particles in a large network are weakly synchronized. Similarly, in the strongly coupled regime, particles in a small network are weakly synchronized; whereas the synchronization is strong and robust against noise when the network-size is large. Small and moderate networks maximize and stabilize efficient transport. Although the dynamics for larger networks is highly correlated, the transport current is erratic. DOI: 10.1103/PhysRevE.87.022913",
keywords = "VAN, TRANSPORT, CHAOTIC RATCHETS, SYSTEM, NOISE, BROWNIAN RATCHET, DETERMINISTIC RATCHETS, PHASE SYNCHRONIZATION, POL OSCILLATORS",
author = "Vincent, {U. E.} and Nana-Nbendjo, {B. R.} and McClintock, {P. V. E.}",
year = "2013",
month = feb,
day = "22",
doi = "10.1103/PhysRevE.87.022913",
language = "English",
volume = "87",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Collective dynamics of a network of ratchets coupled via a stochastic dynamical environment

AU - Vincent, U. E.

AU - Nana-Nbendjo, B. R.

AU - McClintock, P. V. E.

PY - 2013/2/22

Y1 - 2013/2/22

N2 - We investigate the collective dynamics of a network of inertia particles diffusing in a ratchet potential and interacting indirectly through their stochastic dynamical environment. We obtain analytically the condition for the existence of a stable collective state, and we show that the number N of particles in the network, and the strength k of their interaction with the environment, play key roles in synchronization and transport processes. Synchronization is preceded by symmetry-breaking associated with double-resonance oscillations and is shown to be strongly dependent on the network size: convergence to the synchronization manifold occurs much faster with a large network. For small networks, increasing the noise level enhances synchronization in the weakly coupled regime, while particles in a large network are weakly synchronized. Similarly, in the strongly coupled regime, particles in a small network are weakly synchronized; whereas the synchronization is strong and robust against noise when the network-size is large. Small and moderate networks maximize and stabilize efficient transport. Although the dynamics for larger networks is highly correlated, the transport current is erratic. DOI: 10.1103/PhysRevE.87.022913

AB - We investigate the collective dynamics of a network of inertia particles diffusing in a ratchet potential and interacting indirectly through their stochastic dynamical environment. We obtain analytically the condition for the existence of a stable collective state, and we show that the number N of particles in the network, and the strength k of their interaction with the environment, play key roles in synchronization and transport processes. Synchronization is preceded by symmetry-breaking associated with double-resonance oscillations and is shown to be strongly dependent on the network size: convergence to the synchronization manifold occurs much faster with a large network. For small networks, increasing the noise level enhances synchronization in the weakly coupled regime, while particles in a large network are weakly synchronized. Similarly, in the strongly coupled regime, particles in a small network are weakly synchronized; whereas the synchronization is strong and robust against noise when the network-size is large. Small and moderate networks maximize and stabilize efficient transport. Although the dynamics for larger networks is highly correlated, the transport current is erratic. DOI: 10.1103/PhysRevE.87.022913

KW - VAN

KW - TRANSPORT

KW - CHAOTIC RATCHETS

KW - SYSTEM

KW - NOISE

KW - BROWNIAN RATCHET

KW - DETERMINISTIC RATCHETS

KW - PHASE SYNCHRONIZATION

KW - POL OSCILLATORS

U2 - 10.1103/PhysRevE.87.022913

DO - 10.1103/PhysRevE.87.022913

M3 - Journal article

VL - 87

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 2

M1 - 022913

ER -