Simulation of Magnetic Field Controlled Plasma One-Dimension Jet Array

In potential theory it is often convenient to transform volume integrals over homogeneous bodies into surface integrals. The suppression of one dimension will in general simplify the calculation of the integrals. For a long time this technique has been used in magnetic field theory and the transformation is given in standard texts on potential theory (see MacMillan, 1930, section 55). The transformation appears less well known to authors concerned with the gravity method. The purpose of the present short note is to give an example of the application of this technique, a technique which appears to lead to results of practical value in the computation of the acceleration of gravity due to given bodies.

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Exploration of the Structures of the Magnetically Induced Self-Assembly Photonic Crystals in a Solidified Polymer Matrix

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.634-638.2324 ◽

2013 ◽

Vol 634-638 ◽

pp. 2324-2331

Author(s):

Hai Bo Hu ◽

Qian Wang Chen ◽

Ran Li ◽

Xiang Kai Kong ◽

Jian Chen

Keyword(s):

Magnetic Field ◽

Photonic Crystal ◽

External Magnetic Field ◽

Crystal Structures ◽

Polymer Matrix ◽

Self Assembly ◽

Large Scale ◽

Solid Polymer ◽

One Dimension ◽

Polyacrylamide Hydrogel

The carbon-encapsulated superparamagnetic colloidal nanoparticles (SCNps) were rigidized into soft solids by embedding the SCNps into polyacrylamide hydrogel matrixes under the induction of an external magnetic field. Stabilized by the balance of attractive (magnetic) and repulsive (electrostatic) forces, the SCNps form one-dimension photonic crystal structures along the direction of the external magnetic field and further the structures are frozen into the solidified polymer matrix. The polymer matrix embedded one-dimension photonic crystal structures can strongly diffract visible light and present brilliant color in the light. This novel and soft solid polymer matrix that could be shaped and sliced not only paves a new avenue for develop novel magnetic-responsive photonic crystal materials and devices, but also provides a method to observe the magnetic-induced self-assembly structures of the SCNps in media such as polyacrylamide hydrogel matrixs as a result of the ordered structures frozen into the polyacrylamide hydrogel matrixs. So we can reveal the relationship between their structure and color, and furthermore permit a systematic exploration on magnetically induced self-assembling dynamics, colloidal crystallography which have important significance in the large-scale industrial production in the future.

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ON THE OSCILLATIONS OF A WEAKLY INHOMOGENEOUS PLASMA

Canadian Journal of Physics ◽

10.1139/p65-058 ◽

1965 ◽

Vol 43 (4) ◽

pp. 640-644

Author(s):

Som Krishan

Keyword(s):

Magnetic Field ◽

Growth Rate ◽

Wave Vector ◽

Inhomogeneous Plasma ◽

Collisionless Plasma ◽

Velocity Distribution Function ◽

One Dimension ◽

Larmor Radius ◽

Small Inhomogeneity ◽

Inhomogeneity Parameter

Oscillations of a collisionless plasma in equilibrium with a magnetic field which is weakly inhomogeneous in one dimension are studied. The calculations are based on longitudinal oscillations, i.e. the electric vector is parallel to the wave vector. The procedure employed is to use Maxwell's equations and expand the velocity distribution function about its equilibrium value for finding the perturbation in the distribution. The dispersion relation so obtained is different from that of Rosenbluth et al. (1962). The system is stable for the small Landau growth rate (Landau 1946), which might become appreciable for wavelengths comparable with the Larmor radius, provided [Formula: see text], where k is the wave vector and ε is a small inhomogeneity parameter.

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Quantum Relativistic Electron Gas Expanding in One Dimension

International Journal of Modern Physics Conference Series ◽

10.1142/s201019451760045x ◽

2017 ◽

Vol 45 ◽

pp. 1760045 ◽

Cited By ~ 2

Author(s):

Hugo Pérez Rojas ◽

Elizabeth Rodríguez Querts ◽

Aurora Pérez Martínez

Keyword(s):

Magnetic Field ◽

High Frequency ◽

Vector Boson ◽

Electron Gas ◽

Electron System ◽

One Dimension ◽

Ferromagnetic Behavior ◽

Boson Field ◽

Magnetic Field Axis ◽

The Magnetic Field

Under the action of field intensities around the Schwinger critical field, a dense electron gas behaves as unidimensional, exerting strong pressure along the applied field. We suggest a model for maintaining the magnetic field self-consistently, by assuming spin parallel pairing leading to a partial bosonization of the electron gas, which is described by a charged vector boson field, able to experience condensation, leading to a ferromagnetic behavior. Our aim is to suggest a possible quantum relativistic self-magnetized jet model. High frequency photons will be deviated also along paths parallel to the external field, leading to a model for a jet. Any addition of matter and/or energy to the electron system, would contribute to increase the kinetic energy along the magnetic field axis, an the jet may extend for long distances.

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Magnetic Field-assisted Preparations for 1-D Carbon Nanomaterials: A Review

MRS Proceedings ◽

10.1557/opl.2015.763 ◽

2015 ◽

Vol 1786 ◽

pp. 43-49

Author(s):

Chengzhi Luo ◽

Chunxu Pan

Keyword(s):

Magnetic Field ◽

Building Block ◽

High Performance ◽

Carbon Nanomaterials ◽

Growth Direction ◽

One Dimension ◽

One Dimensional ◽

Electric And Magnetic Fields ◽

Key Techniques ◽

Important Building Block

ABSTRACTOne-dimensional carbon nanomaterials (1-DCNMs), as one of the most promising one-dimension nanomaterials due to its unique microstructure, peculiar chemical, mechanical, thermal, and electronic properties, have long been considered as an important building block to construct micro-nano-electrics and devices. The growth controllability in direction, morphology and microstructure may provide a straightforward platform for fabricating high performance 1-DCNMs-based devices. Recently, electric and magnetic fields have emerged as key techniques to control the 1-DCNMs' growth direction, morphology and microstructure. In this paper, we focus explicitly on the 1-DCNMs preparations with assistance of a magnetic field, and the main problems that should be solved in the future are also discussed.

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Anderson’s orthogonality catastrophe in one dimension induced by a magnetic field

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/48/32/325202 ◽

2015 ◽

Vol 48 (32) ◽

pp. 325202 ◽

Cited By ~ 4

Author(s):

Hans Konrad Knörr ◽

Peter Otte ◽

Wolfgang Spitzer

Keyword(s):

Magnetic Field ◽

One Dimension

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Dilute Potts chain in a magnetic field

Canadian Journal of Physics ◽

10.1139/p84-011 ◽

1984 ◽

Vol 62 (1) ◽

pp. 69-72 ◽

Cited By ~ 1

Author(s):

C. M. Chaves ◽

Rosane Riera

Keyword(s):

Magnetic Field ◽

Exchange Interaction ◽

Magnetization Curve ◽

Uniform Magnetic Field ◽

Lattice Gas ◽

Magnetic Ordering ◽

Exchange Parameter ◽

One Dimension ◽

Potts Chain ◽

The Magnetic Field

The Potts lattice gas in the presence of a uniform magnetic field is solved exactly in one dimension. For negative values of the exchange parameter, the magnetization curve exhibits two or three steps, depending on the concentration of vacancies. These steps arise as a result of the competition between the exchange interaction and the magnetic field, and are associated with different structural distributions of vacancies and the magnetic ordering of one or both sublattices.

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