Growth behavior of helical cellular automata

Wang, Daimu; Sun, Xuemei; Wu, Ziqin

doi:10.1103/physreve.68.047104

Cited by 5 publications

(6 citation statements)

References 10 publications

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“…In particular, all these works assume energy equipartition and consequently, the partial temperatures T i are made equal to the global granular temperature T . However, the failure of energy equipartition in granular fluids [11,12,13,14,15] has also been confirmed by computer simulations [16,17,18,19,20,21,22] and even observed in recent experiments [23,24]. As a consequence, previous studies for granular mixtures based on a single temperature must be reexamined by theories which take into account the effect of temperature differences on the transport coefficients.…”

Section: Introductionmentioning

confidence: 75%

Diffusion of impurities in a granular gas

2004

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Diffusion of impurities in a granular gas undergoing homogeneous cooling state is studied. The results are obtained by solving the Boltzmann-Lorentz equation by means of the Chapman-Enskog method. In the first order in the density gradient of impurities, the diffusion coefficient D is determined as the solution of a linear integral equation which is approximately solved by making an expansion in Sonine polynomials. In this paper, we evaluate D up to the second order in the Sonine expansion and get explicit expressions for D in terms of the coefficients of restitution for the impurity-gas and gas-gas collisions as well as the ratios of mass and particle sizes. To check the reliability of the Sonine polynomial solution, analytical results are compared with those obtained from numerical solutions of the Boltzmann equation by means of the direct simulation Monte Carlo method. In the simulations, the diffusion coefficient is measured via the mean-square displacement of impurities. The comparison between theory and simulation shows in general an excellent agreement, except for the cases in which the gas particles are much heavier and/or much larger than impurities. In these cases, the second Sonine approximation to D improves significantly the qualitative predictions made from the first Sonine approximation. A discussion on the convergence of the Sonine polynomial expansion is also carried out.

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Section: Introductionmentioning

confidence: 75%

Diffusion of impurities in a granular gas

2004

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“…An increase of chain size beyond a critical length, compactification due to interparticle magnetic interactions, formation of globules as nuclei for new dense phase, are all seen in the scheme of phase transitions leading to formation of bulk drop-like aggregates. As to the role of polydispersity, Wang and Holm [19] found that the fraction of large particles, with larger relative dipole moments in proportion to their volume, would overcome thermal forces more easily and respond to weaker fields and therefore dictate magnetization properties (e.g. initial susceptibility), even in case of dilute fluids.…”

Section: Field-induced Aggregates In Non-ideal Ferrofluidsmentioning

confidence: 99%

Magnetism, entropy, and the first nano-machines

Mitra-Delmotte¹,

Mitra

2010

Open Physics

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Abstract:The efficiency of bio-molecular motors stems from reversible interactions ∼ B T ; weak bonds stabilizing intermediate states (enabling conversion of chemical into mechanical energy). For their (unknown) origins, we suggest that a magnetically structured phase (MSP) formed via accretion of superparamagnetic particles (S-PPs) during serpentinization (including magnetite formation) of igneous rocks comprising the Hadean Ocean floor, had hosted motor-like diffusion of ligand-bound S-PPs through its 'template'-layers. Ramifications range from optical activity to quantum coherence. A gentle flux gradient offers both detailed-balance breaking non-equilibrium and asymmetry to a magnetic dipole, undergoing infinitesimal spin-alignment changes. Periodic perturbation of this background by local H-fields of templatepartners can lead to periodic high and low-template affinity states, due to the dipole's magnetic degree of freedom. An accompanying magnetocaloric effect allows interchange between system-entropy and bath temperature. We speculate on a magnetic reproducer in a setting close to the submarine hydrothermal mound-scenario of Russell and coworkers that could evolve bio-ratchets. PACS

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“…As well known, waveguides are very important devices in photonics, along which photons are transported to carry information. Cavities coupled with waveguides are usually designed to control the transport of light, forming traps, filters, and switches [43][44][45][46][47][48][49][50][51]. The emergence of PTIs provides just right chances to realize reflection-free photonic topological waveguides (PTWs) using photonic topological edge states (PTESs).…”

Section: Introductionmentioning

confidence: 99%

Transport tuning of photonic topological edge states by optical cavities

Liu

Zhang

et al. 2019

Phys. Rev. A

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Crystal-symmetry-protected photonic topological edge states (PTESs) based on air rods in conventional dielectric materials are designed as photonic topological waveguides (PTWs) coupled with side optical cavities. We demonstrate that the cavity coupled with the PTW can change the reflection-free transport of the PTESs, where the cavities with single mode and twofold degenerate modes are taken as examples. The single-mode cavities are able to perfectly reflect the PTESs at their resonant frequencies, forming a dip in the transmission spectra. The dip full width at half depth depends on the coupling strength between the cavity and PTW and thus on the cavity geometry and distance relative to the PTW. While the cavities with twofold degenerate modes lead to a more complex PTES transport whose transmission spectra can be in the Fano form. These effects well agree with the one-dimensional PTW-cavity transport theory we build, in which the coupling of the PTW with cavity is taken as δ or non-δ type. Such PTWs coupled with side cavities, combining topological properties and convenient tunability, have wide diversities for topological photonic devices.

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Growth behavior of helical cellular automata

Cited by 5 publications

References 10 publications

Diffusion of impurities in a granular gas

Diffusion of impurities in a granular gas

Magnetism, entropy, and the first nano-machines

Transport tuning of photonic topological edge states by optical cavities

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