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One of the main applications in plasma physics concerns the energy production through thermo-nuclear fusion. The controlled fusion is achieved by magnetic confinement i.e., the plasma is confined into a toroidal domain (tokamak) under the…

Analysis of PDEs · Mathematics 2015-06-05 Mihai Bostan , Irene M. Gamba

We derive the zero order approximation of a charged particle under the influence of a strong magnetic field in a mathematically rigorous manner and clarify in which sense this approximation is valid. We use this to further rigorously derive…

Mathematical Physics · Physics 2026-02-13 Ugo Boscain , Wadim Gerner

Strongly coupled plasmas in which the interaction energy exceeds the kinetic energy play an important role in many astrophysical and laboratory systems including compact stars, laser plasmas and dusty plasmas. They exhibit many unusual…

Plasma Physics · Physics 2013-09-19 M. Bonitz , H. Kählert , T. Ott , H. Löwen

The onset and evolution of magnetic fields in laboratory and astrophysical plasmas is determined by several mechanisms, including instabilities, dynamo effects and ultra-high energy particle flows through gas, plasma and interstellar-media.…

Plasma Physics · Physics 2015-05-20 A. Flacco , J. Vieira , A. Lifschitz , F. Sylla , S. Kahaly , M. Veltcheva , L. O. Silva , V. Malka

Cosmic magnetic fields are typically inhomogeneous and often highly tangled due to large-scale plasma flows, turbulence, and instabilities. If the variations in the magnetic field occur on scales that are large compared to the gyro-radius…

We develop protocols to confine charged particles using time-varying magnetic fields and demonstrate the possible non-torus configuration resulting from the distribution of single-particle motion orbits. A two-step strategy is proposed to…

Plasma Physics · Physics 2023-11-30 Shao-Wu Yao , Bo You , Yue-Hao Yin , Zhi-Yong Wu , Li-Xiang Cen

In an inhomogeneous magnetised plasma the transport of energy and particles perpendicular to the magnetic field is in general mainly caused by quasi two-dimensional turbulent fluid mixing. The physics of turbulence and structure formation…

Plasma Physics · Physics 2010-03-05 Alexander Kendl

This tutorial provides an accessible introduction to the principles of stability and turbulent transport in magnetic confinement fusion plasmas. Key concepts, models, and practical implications are discussed to guide researchers new to the…

Plasma Physics · Physics 2025-07-18 J. F. Parisi

The goal of this paper is to understand from a mathematical point of view the magnetic confinement of plasmas for fusion. Following Fr\'enod and Sonnendr\"ucker \cite{FS2}, we first use two-scale convergence tools to derive a gyrokinetic…

Analysis of PDEs · Mathematics 2010-07-20 Daniel Han-Kwan

The confinement mechanism proposed earlier and then applied successfully to meson spectroscopy by one of the authors is interpreted in classical terms. For this aim the unique solution of the Maxwell equations, an analog of the…

High Energy Physics - Theory · Physics 2014-11-20 Yu. P. Goncharov , N. E. Firsova

Plasma turbulence occurs ubiquitously in space and astrophysical plasmas, mediating the nonlinear transfer of energy from large-scale electromagnetic fields and plasma flows to small scales at which the energy may be ultimately converted to…

Plasma Physics · Physics 2018-02-28 Gregory G. Howes , Sofiane Bourouaine

Plasma technology has found widespread applications in numerous domains, yet the techniques to manipulate plasma transport predominantly rely on magnetic control. In this review, we present a streamlined diffusion-migration method to…

Plasma Physics · Physics 2023-09-26 Fubao Yang , Zeren Zhang

The principle behind magnetic fusion is to confine high temperature plasma inside a device in such a way that the nuclei of deuterium and tritium joining together can release energy. The high temperatures generated needs the plasma to be…

Numerical Analysis · Mathematics 2024-03-26 Giacomo Albi , Giacomo Dimarco , Federica Ferrarese , Lorenzo Pareschi

Astrophysical plasmas can have parameters vastly different from the more studied laboratory and space plasmas. In particular, the magnetic fields can be the dominant component of the plasma, with energy-density exceeding the particle…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Maxim Lyutikov , Alexandre Lazarian

Electron plasmas confined by an external magnetic field exhibit variations in a two-dimensional plane orthogonal to the confining magnetic field. A nonlinear fluid simulation code to investigate the properties of 2-D electron plasma wave…

Plasma Physics · Physics 2009-11-13 Dastgeer Shaikh , P. K. Shukla

It is shown that the transport in low temperature, collisional, bounded plasma is enhanced by instabilities at high magnetic field. While the magnetic field confines the electrons in a stable plasma, the instability completely destroys the…

Plasma Physics · Physics 2019-09-04 R. Lucken , A. Bourdon , M. Lieberman , P. Chabert

Stellarators confine fusion plasmas using three-dimensional magnetic fields composed of nested toroidal magnetic surfaces. In generic stellarators, trapped particles can drift across these surfaces and degrade plasma confinement. Certain…

It is known that a plasma in a magnetic field, conceived microscopically as a system of point charges, can exist in a magnetized state, and thus remain confined, inasmuch as it is in an ordered state of motion, with the charged particles…

Mathematical Physics · Physics 2015-06-04 A. Carati , M. Zuin , A. Maiocchi , M. Marino , E. Martines , L. Galgani

The fusion created by magnetically confined plasma is a promising clean and essentially unlimited future energy source. However, net energy generation has not been yet demonstrated in fusion experiments. Some of the main problems hindering…

Plasma Physics · Physics 2025-10-20 Natanael Bort-Soldevila , Jaume Cunill-Subiranas , Alvaro Sanchez

The efficient production of electricity from nuclear fusion in magnetically confined plasmas relies on a good confinement of the thermal energy. For more than thirty years, the observation that such confinement depends on the mass of the…

Plasma Physics · Physics 2016-06-07 J. Garcia , T. Goerler , F. Jenko
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