Chaotic behavior of magnetic field lines near simplest current systems

Effects of electron-to-ion mass ratio in driving magnetic oscillations of magnetohydrodynamic plasmas and self-organized criticality

“…Similar expressions for B z can be obtained that are not explicitly shown for simplicity. From these expressions in equations (5), and (10), we have witnessed oscillations in B y having frequencies which are multiples of lower hybrid frequency LH e i w = W W . In order to correlate these values of frequencies with dominant frequencies of oscillations of B y and B z in figure 1, we have also analysed the behaviour of B y and B z in frequency domain using fast Fourier transform (fft) function in MATLAB.…”

“…One important point in this regard is that we have explicitly calculated approximate expressions for frequencies of oscillations in B y in the previous section as can be seen in equations (5), and (10) considering two special cases. Similar expressions for B z can be obtained that are not explicitly shown for simplicity.…”

“…Research comprising dynamics of nonlinear magnetic fields in different systems including plasmas is an interesting field that has attracted numerous scientists in recent years. In this context, the phenomenon of occurrence of chaos in dynamical investigations of nonlinear magnetic fields in certain systems can be frequently encountered; this fact leads to chaotic magnetic fields in such systems with a predominance in plasmas [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. This is because plasmas consist of different types of charged particles which generate electric and magnetic fields intrinsically and externally applied magnetic fields are required for their confinement.…”

“…In [2], analysis of chaotic magnetic fields created by wires has been preformed. Dynamics of charged particles in spatially chaotic magnetic fields generated from simple current configurations has been analysed in [3] whereas chaotic magnetic fields in the vicinity of two circular current loops with different mutual arrangement in space have been explored in [5] for simulating magnetic fields on the Sun. Similarly, occurrences of chaotic magnetic fields in tokamak plasma systems have been explored in [4,7,9] due to magnetic limiters.…”