Nonlocal incoherent white-light solitons in logarithmically nonlinear media

Shen, Ming; Wang, Qi; Shi, Jianhui; Chen, Yuanyuan; Wang, Xinglin

doi:10.1103/physreve.72.026604

Cited by 46 publications

(23 citation statements)

References 46 publications

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“…After this work we plan to analyse the motion of tracers in contact with this active sample and, especially, to analyse the existence of a parameter to be interpreted as an effective temperature from the mobility and diffusive properties of the sample and the tracers, in the manner done in [29,[53][54][55][56][57][58][59][60][61] for different active systems.…”

Section: Discussionmentioning

confidence: 99%

Rotational and translational diffusion in an interacting active dumbbell system

2015

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We study the dynamical properties of a two-dimensional ensemble of self-propelled dumbbells with only repulsive interactions. This model undergoes a phase transition between a homogeneous and a segregated phase and we focus on the former. We analyze the translational and rotational mean-square displacements in terms of the Péclet number, describing the relative role of active forces and thermal fluctuations, and of particle density. We find that the four distinct regimes of the translational mean-square displacement of the single active dumbbell survive at finite density for parameters that lead to a separation of time scales. We establish the Péclet number and density dependence of the diffusion constant in the last diffusive regime. We prove that the ratio between the diffusion constant and its value for the single dumbbell depends on temperature and active force only through the Péclet number at all densities explored. We also study the rotational mean-square displacement proving the existence of a rich behavior with intermediate regimes only appearing at finite density. The ratio of the rotational late-time diffusion constant and its vanishing density limit depends on the Péclet number and density only. At low Péclet number it is a monotonically decreasing function of density. At high Péclet number it first increases to reach a maximum and then decreases as a function of density. We interpret the latter result advocating the presence of large-scale fluctuations close to the transition, at large-enough density, that favor coherent rotation inhibiting, however, rotational motion for even larger packing fractions.

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Section: Discussionmentioning

confidence: 99%

Rotational and translational diffusion in an interacting active dumbbell system

2015

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“…For instance, nonlocality can prevent the catastrophic collapse of high-dimensional beams [8] and suppress modulation instability [9,10] and transverse instability [11] in self-focusing media. Nonlocality can support a range of novel soliton states including dipole [12][13][14] and multipole solitons [15,16], discrete solitons in optical lattices with nonlocal nonlinearity [17][18][19][20], and incoherent solitons in nonlocal media with both instantaneous and slow nonlinear response [21][22][23][24][25]. Nonlocal nonlinearity also promotes the stability of vector or multicomponent solitons, such as dipole [26] and multipole solitons [27,28], two-color solitons [29,30], dark solitons [31], and vortex [32] and necklace solitons [33].…”

Section: Introductionmentioning

confidence: 99%

Stabilization of counter-rotating vortex pairs in nonlocal media

et al. 2012

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The dynamics of vector vortex pairs with explicit and hidden vorticity in nonlocal media with an arbitrary degree of nonlocality is investigated analytically and numerically. We show that the stability dynamics of the vortex pairs depends crucially upon their total angular momentum, the topological charge, and the degree of nonlocality. In particular, we show that nonlocality eliminates the splitting of the vortex pairs, improves their propagation stability, and leads to formation of stationary bound states of vortex pairs.

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“…The nonlocality can provide a long-range force between solitons [3], leading to the formation of bound states for both out-of-phase bright [20,21] and dark solitons [22][23][24]. Experimental and theoretical studies have shown that the nonlocality plays an important role for incoherent solitons [25][26][27][28][29]. The nonlocality can suppress the modulation instability [30,31] and transverse instability [32], and prevent the catastrophic collapse of high-dimensional optical beams [33].…”

Section: Introductionmentioning

confidence: 99%

Vortex pairs in nonlocal nonlinear media

Shen

Jeng

Lee

2012

J. Opt.

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Dynamics of vortex pairs with the same and opposite circulations are studied theoretically in nonlocal nonlinear media with different intervortex separations. We demonstrate that the nonlocal nonlinear response not only leads to a dramatic suppression of the elliptical instabilities but also helps in the formation of quasi-stable rotating and breathing bound states for vortex-vortex and vortex-antivortex (vortex dipole) pairs, respectively.

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Nonlocal incoherent white-light solitons in logarithmically nonlinear media

Cited by 46 publications

References 46 publications

Rotational and translational diffusion in an interacting active dumbbell system

Rotational and translational diffusion in an interacting active dumbbell system

Stabilization of counter-rotating vortex pairs in nonlocal media

Vortex pairs in nonlocal nonlinear media

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