Exponential nonlinear growth of a resistive m=1 island

Xiaogang Wang; A. Bhattacharjee

doi:10.1063/1.873424

Exponential nonlinear growth of a resistive m=1 island

Xiaogang Wang, A. Bhattacharjee

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

An analytical model is given for the exponential growth of a m=1 resistive island in the late nonlinear stage of its dynamics, observed in a recent numerical simulation [A. Aydemir, Phys. Rev. Lett. 78, 4406 (1997)]. This late nonlinear exponential growth phase follows the linear exponential growth phase and an early nonlinear algebraic growth phase. It is shown that the transition from the early nonlinear phase of algebraic growth in time to exponential growth occurs due to change in the geometric structure of the current sheet. Analytical predictions are in reasonable accord with simulation results.

Original language	English (US)
Pages (from-to)	1674-1676
Number of pages	3
Journal	Physics of Plasmas
Volume	6
Issue number	5 II
DOIs	https://doi.org/10.1063/1.873424
State	Published - May 1999
Externally published	Yes
Event	Proceedings of the 1998 40th Annual Meeting of the Division of Plasma Physics of the American Physical Society - New Orleans, LA, United States Duration: Nov 16 1998 → Nov 20 1998

All Science Journal Classification (ASJC) codes

Condensed Matter Physics

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10.1063/1.873424

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title = "Exponential nonlinear growth of a resistive m=1 island",

abstract = "An analytical model is given for the exponential growth of a m=1 resistive island in the late nonlinear stage of its dynamics, observed in a recent numerical simulation [A. Aydemir, Phys. Rev. Lett. 78, 4406 (1997)]. This late nonlinear exponential growth phase follows the linear exponential growth phase and an early nonlinear algebraic growth phase. It is shown that the transition from the early nonlinear phase of algebraic growth in time to exponential growth occurs due to change in the geometric structure of the current sheet. Analytical predictions are in reasonable accord with simulation results.",

author = "Xiaogang Wang and A. Bhattacharjee",

year = "1999",

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note = "Proceedings of the 1998 40th Annual Meeting of the Division of Plasma Physics of the American Physical Society ; Conference date: 16-11-1998 Through 20-11-1998",

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T1 - Exponential nonlinear growth of a resistive m=1 island

AU - Wang, Xiaogang

AU - Bhattacharjee, A.

PY - 1999/5

Y1 - 1999/5

N2 - An analytical model is given for the exponential growth of a m=1 resistive island in the late nonlinear stage of its dynamics, observed in a recent numerical simulation [A. Aydemir, Phys. Rev. Lett. 78, 4406 (1997)]. This late nonlinear exponential growth phase follows the linear exponential growth phase and an early nonlinear algebraic growth phase. It is shown that the transition from the early nonlinear phase of algebraic growth in time to exponential growth occurs due to change in the geometric structure of the current sheet. Analytical predictions are in reasonable accord with simulation results.

AB - An analytical model is given for the exponential growth of a m=1 resistive island in the late nonlinear stage of its dynamics, observed in a recent numerical simulation [A. Aydemir, Phys. Rev. Lett. 78, 4406 (1997)]. This late nonlinear exponential growth phase follows the linear exponential growth phase and an early nonlinear algebraic growth phase. It is shown that the transition from the early nonlinear phase of algebraic growth in time to exponential growth occurs due to change in the geometric structure of the current sheet. Analytical predictions are in reasonable accord with simulation results.

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EP - 1676

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 5 II

T2 - Proceedings of the 1998 40th Annual Meeting of the Division of Plasma Physics of the American Physical Society

Y2 - 16 November 1998 through 20 November 1998

ER -

Exponential nonlinear growth of a resistive m=1 island

Abstract

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