scholarly journals Non-linear interaction of laser light with vacuum: contributions to the energy density and pressure in presence of an intense magnetic field

2022 ◽  
Author(s):  
M Angeles Perez-Garcia ◽  
Aurora Perez Martinez ◽  
Elisabeth Rodriguez Querts
Keyword(s):  
Magnetic Field ◽  
Energy Density ◽  
Quantum Electrodynamics ◽  
Linear Interaction ◽  
Intense Magnetic Field ◽  
Electric And Magnetic Fields ◽  
Non Linear ◽  
Underdense Plasmas ◽  
Linear Behaviour ◽  
Weak Fields

Abstract Recent simulations show that very large electric and magnetic fields near the kilo Tesla strength will likely be generated by ultra-intense lasers at existing facilities over distances of hundreds of microns in underdense plasmas. Stronger ones are even expected in the future although some technical dificulties must be overcome. In addition, it has been shown that vacuum exhibits a peculiar non-linear behaviour in presence of high magnetic and electric field strengths. In this work we are interested in the analysis of thermodynamical contributions of vacuum to the energy density and pressure when radiation interacts with it in the presence of an external magnetic field. Using the Euler-Heisenberg formalism in the regime of weak fields i.e. smaller than critical Quantum Electrodynamics field strength values, we evaluate these magnitudes and analyze the highly anisotropic behaviour we find. Our work has implications for photon-photon scattering with lasers and astrophysically magnetized underdense systems far outside their surface where matter effects are increasingly negligible.

Non-linear interaction between three ordinary electromagnetic waves

1971 ◽  
Vol 5 (3) ◽  
pp. 413-425 ◽  
Author(s):  
L. Stenflo
Keyword(s):  
Magnetic Field ◽  
General Formula ◽  
Constant Magnetic Field ◽  
Electromagnetic Waves ◽  
Electron Plasma ◽  
Static Field ◽  
Coupling Coefficients ◽  
Linear Interaction ◽  
Non Linear ◽  
Spatially Homogeneous

This paper considers the non-linear interaction between three resonant, modified ordinary electromagnetic waves, which propagate perpendicular to a constant magnetic field in a spatially homogeneous electron plasma. The coupling coefficients are calculated and discussed. Finally, a general formula, describing the interaction between three waves propagating at arbitrary angles to the static field, is derived.

Non-linear coupling of waves in a magnetized plasma with particle drift motions

1969 ◽  
Vol 3 (2) ◽  
pp. 215-226 ◽  
Author(s):  
H. wilhelmsson
Keyword(s):  
Magnetic Field ◽  
Relativistic Effects ◽  
Wave Interaction ◽  
Magnetized Plasma ◽  
Transverse Waves ◽  
Linear Interaction ◽  
Longitudinal Waves ◽  
Coupled Mode ◽  
Non Linear ◽  
Method Of Solution

We study non-linear interaction between three monochromatic waves which propagate parallel to the direction of a magnetic field in a plasma. The approach to the problem is hydromagnetic, including temperature effects, and the method of solution is that of coupled mode theory. In particular drift motions of the particles along the magnetic field are considered taking into account relativistic effects. The interaction of two transverse waves and one longitudinal wave is treated as well as that of three longitudinal waves. Besides, the case of two longitudinal waves and one perpendicular wave has been studied in some detail assuming the latter to have a long wavelength.The present paper represents a generalization of the problem of three-wave interaction in a plasma to situations more complex than have been treated before. The most essential limitation consists in the assumptions made for the directions of propagation of the waves.

scholarly journals Non-propagating electric and density structures formed through non-linear interaction of Alfvén waves

2012 ◽  
Vol 30 (1) ◽  
pp. 81-95 ◽  
Author(s):  
F. Mottez
Keyword(s):  
Magnetic Field ◽  
Electric Fields ◽  
Plasma Density ◽  
Homogeneous Medium ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
Magnetic Field Direction ◽  
Linear Interaction ◽  
Ambient Magnetic Field ◽  
Non Linear

Abstract. In the auroral zone of the Earth, the electron acceleration by Alfvén waves is sometimes seen as a precursor of the non-propagating acceleration structures. In order to investigate how Alfvén waves could generate non-propagating electric fields, a series of simulations of counter-propagating waves in a homogeneous medium is presented. The waves propagate along the ambient magnetic field direction. It is shown that non-propagating electric fields are generated at the locus of the Alfvén waves crossing. These electric fields have a component orientated along the direction of the ambient magnetic field, and they generate a significant perturbation of the plasma density. The non-linear interaction of down and up-going Alfvén waves might be a cause of plasma density fluctuations (with gradients along the magnetic field) on a scale comparable to those of the Alfvén wavelengths. The present paper is mainly focused on the creation process of the non-propagating parallel electric field.

scholarly journals Chiral magnetic effect in the presence of electroweak interactions as a quasiclassical phenomenon

2018 ◽  
Vol 33 (07n08) ◽  
pp. 1850043 ◽  
Author(s):  
Maxim Dvornikov ◽  
Victor B. Semikoz
Keyword(s):  
Magnetic Field ◽  
Particle Acceleration ◽  
External Magnetic Field ◽  
Energy Density ◽  
Electric Field ◽  
Electromagnetic Fields ◽  
Magnetic Effect ◽  
Chiral Magnetic Effect ◽  
Electric And Magnetic Fields ◽  
Quantum Approach

We elaborate the quasiclassical approach to obtain the modified chiral magnetic effect (CME) in the case when the massless charged fermions interact with electromagnetic fields and the background matter by the electroweak forces. The derivation of the anomalous current along the external magnetic field involves the study of the energy density evolution of chiral particles in parallel electric and magnetic fields. We consider both the particle acceleration by the external electric field and the contribution of the Adler anomaly. The condition of the validity of this method for the derivation of the CME is formulated. We obtain the expression for the electric current along the external magnetic field, which appears to coincide with our previous results based on the purely quantum approach. Our results are compared with the findings of other authors.

scholarly journals Staggered Magnetisation in the Heisenberg Antiferromagnet

1994 ◽  
Vol 47 (2) ◽  
pp. 137 ◽  
Author(s):  
Lloyd CL Hollenberg ◽  
Michael J Tomlinson
Keyword(s):  
Magnetic Field ◽  
Energy Density ◽  
Ground State Energy ◽  
Ground State ◽  
Heisenberg Model ◽  
State Energy ◽  
Diagonal Form ◽  
Heisenberg Antiferromagnet ◽  
Matrix Elements ◽  
Weak Fields

In the presence of a staggered magnetic field, the plaquette expansion of the Lanczos matrix elements are obtained for the antiferromagnetic 2D Heisenberg model up to order 1/Np (Np is the number of plaquettes on the lattice). The resulting approximate tri-diagonal form of the Hamiltonian is diagonalised for various values of the field strength in the -> 00 limit for the ground state energy density. From the behaviour of the ground-state energy density at weak fields, the staggered magnetisation at this order in the plaquette expansion is found to be 0�71 (in units where the Neel state staggered magnetisation is 1� 0).

Non-Linear Interaction of MHD Waves with Small-Scale Ionospheric Irregularities

2004 ◽  
Vol 61 (7-12) ◽  
pp. 1055-1071
Author(s):  
N. N. Gerasimova ◽  
V. G. Sinitsin ◽  
Yu. M. Yampolski
Keyword(s):  
Ionospheric Irregularities ◽  
Mhd Waves ◽  
Small Scale ◽  
Linear Interaction ◽  
Non Linear
Sign in / Sign up

Export Citation Format

Share Document