Hub synchronization in scale-free networks

Pereira, Tiago

doi:10.1103/physreve.82.036201

Cited by 71 publications

(110 citation statements)

References 21 publications

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“…[28,29]). Because we are working towards studying current power spectra of Hamiltonian chains we will not consider systems subject to non-conservative forces.…”

Section: Introductionmentioning

confidence: 99%

Cluster sizes in a classical Lennard-Jones chain

Lee-Dadswell¹,

Barrett²,

Power³

2017

Phys. Rev. E

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The definitions of breaks and clusters in a one-dimensional chain in equilibrium are discussed.Analytical expressions are obtained for the expected cluster length, K , as a function of temperature and pressure in a one-dimensional Lennard-Jones chain. These expressions are compared with results from molecular dynamics simulations. It is found that K increases exponentially with β = 1/k B T and with pressure, P in agreement with previous results in the literature. A method is illustrated for using K (β, P ) to generate a "phase diagram" for the Lennard-Jones chain. Some implications for the study of heat transport in Lennard-Jones chains are discussed.

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“…[28,29]). Because we are working towards studying current power spectra of Hamiltonian chains we will not consider systems subject to non-conservative forces.…”

Section: Introductionmentioning

confidence: 99%

Cluster sizes in a classical Lennard-Jones chain

Lee-Dadswell¹,

Barrett²,

Power³

2017

Phys. Rev. E

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“…Since the thermal rectifier based on Morse potential has been proposed [4], many thermal rectifiers have been revealved in various structures. For example, the thermal diode by coupling two nonlinear lattices [1,5], the asymmetric nanotubes and graphene [2,[6][7][8], anharmonic graded mass crystals [9,10] and a spin-boson nanojunction model [11]. Inspired by these theoretical studies, Chang and co-workers have produced a microscopic solid-state thermal rectifier based on carbon nanotubes [12].…”

mentioning

confidence: 99%

Thermal rectification in thickness-asymmetric graphene nanoribbons

Zhong¹,

Huang²,

Deng³

et al. 2011

Applied Physics Letters

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Thermal rectification in thickness asymmetric graphene nanoribbons connecting single-layer with multi-layer graphene is investigated by using classical nonequilibrium molecular dynamics. It is reported that the graphene nanoribbons with thickness-asymmetry have a good thermal rectification. The thermal rectification factor depends on temperature as well as the thickness-ratio of the two-segment. Our results provide a direct evidence that the thermal rectifier can be achieved in a nanostructure crossing two-and three-dimension.

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“…Therefore, nodes with a larger degree k > k (hubs) are more crucial than nodes with a smaller degree k < k (compare with Ref. [20]). If the frequencies of these hubs are much broader spread around the average frequency, it is more difficult for the whole network to exhibit a synchronized oscillation.…”

Section: How Degree-frequency Correlations Affect the Synchronizationmentioning

confidence: 99%

Networks of noisy oscillators with correlated degree and frequency dispersion

2013

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Abstract. We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the synchronization transition of coupled stochastic phase oscillators that represent the node dynamics. Crucially in our work, the variability in the number of connections of the nodes is correlated with the width of the frequency distribution of the oscillators. By numerical simulations on Erdös-Rényi networks, where the frequencies of the oscillators are Gaussian distributed, we make the counterintuitive observation that an increase in the strength of the correlation is accompanied by an increase in the critical coupling strength for the onset of synchronization. We further observe that the critical coupling can solely depend on the average number of connections or even completely lose its dependence on the network connectivity. Only beyond this state, a weighted mean-field approximation breaks down. If noise is present, the correlations have to be stronger to yield similar observations.

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Hub synchronization in scale-free networks

Cited by 71 publications

References 21 publications

Cluster sizes in a classical Lennard-Jones chain

Cluster sizes in a classical Lennard-Jones chain

Thermal rectification in thickness-asymmetric graphene nanoribbons

Networks of noisy oscillators with correlated degree and frequency dispersion

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