Magnetic Energy Equation ==================================================================== ========================================================================================================================================================================== ====== ===================== :math:`\left[\left(\boldsymbol{v}\times\boldsymbol{B}-\eta\boldsymbol{\mathcal{J}}\right)\times\boldsymbol{B}\right]_r` 2001 ecrossb\_r :math:`\left[\left(\boldsymbol{v}\times\boldsymbol{B}-\eta\boldsymbol{\mathcal{J}}\right)\times\boldsymbol{B}\right]_\theta` 2002 ecrossb\_theta :math:`\left[\left(\boldsymbol{v}\times\boldsymbol{B}-\eta\boldsymbol{\mathcal{J}}\right)\times\boldsymbol{B}\right]_\phi` 2003 ecrossb\_phi :math:`\left[\left(\boldsymbol{v'}\times\boldsymbol{B'}-\eta\boldsymbol{\mathcal{J'}}\right)\times\boldsymbol{B'}\right]_r` 2004 ecrossb\_ppp\_r :math:`\left[\left(\boldsymbol{v'}\times\boldsymbol{B'}-\eta\boldsymbol{\mathcal{J'}}\right)\times\boldsymbol{B'}\right]_\theta` 2005 ecrossb\_ppp\_theta :math:`\left[\left(\boldsymbol{v'}\times\boldsymbol{B'}-\eta\boldsymbol{\mathcal{J'}}\right)\times\boldsymbol{B'}\right]_\phi` 2006 ecrossb\_ppp\_phi :math:`\left[\left(\boldsymbol{\overline{v}}\times\boldsymbol{\overline{B}}-\eta\boldsymbol{\mathcal{\overline{J}}}\right)\times\boldsymbol{\overline{B}}\right]_r` 2007 ecrossb\_mmm\_r :math:`\left[\left(\boldsymbol{\overline{v}}\times\boldsymbol{\overline{B}}-\eta\boldsymbol{\mathcal{\overline{J}}}\right)\times\boldsymbol{\overline{B}}\right]_\theta` 2008 ecrossb\_mmm\_theta :math:`\left[\left(\boldsymbol{\overline{v}}\times\boldsymbol{\overline{B}}-\eta\boldsymbol{\mathcal{\overline{J}}}\right)\times\boldsymbol{\overline{B}}\right]_\phi` 2009 ecrossb\_mmm\_phi :math:`\left[\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\times\boldsymbol{\overline{B}}\right]_r` 2010 ecrossb\_ppm\_r :math:`\left[\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\times\boldsymbol{\overline{B}}\right]_\theta` 2011 ecrossb\_ppm\_theta :math:`\left[\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\times\boldsymbol{\overline{B}}\right]_\phi` 2012 ecrossb\_ppm\_phi :math:`\left[\left(\boldsymbol{v'}\times\boldsymbol{\overline{B}}\right)\times\boldsymbol{B'}\right]_r` 2013 ecrossb\_pmp\_r :math:`\left[\left(\boldsymbol{v'}\times\boldsymbol{\overline{B}}\right)\times\boldsymbol{B'}\right]_\theta` 2014 ecrossb\_pmp\_theta :math:`\left[\left(\boldsymbol{v'}\times\boldsymbol{\overline{B}}\right)\times\boldsymbol{B'}\right]_\phi` 2015 ecrossb\_pmp\_phi :math:`\left[\left(\boldsymbol{\overline{v}}\times\boldsymbol{B'}\right)\times\boldsymbol{B'}\right]_r` 2016 ecrossb\_mpp\_r :math:`\left[\left(\boldsymbol{\overline{v}}\times\boldsymbol{B'}\right)\times\boldsymbol{B'}\right]_\theta` 2017 ecrossb\_mpp\_theta :math:`\left[\left(\boldsymbol{\overline{v}}\times\boldsymbol{B'}\right)\times\boldsymbol{B'}\right]_\phi` 2018 ecrossb\_mpp\_phi :math:`\boldsymbol{B}\cdot\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v}\times\boldsymbol{B}\right)\right]` 2019 induct\_work :math:`\boldsymbol{B'}\cdot\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\right]` 2020 induct\_work\_ppp :math:`\boldsymbol{B'}\cdot\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\boldsymbol{\overline{B}}\right)\right]` 2021 induct\_work\_ppm :math:`\boldsymbol{B'}\cdot\left[\boldsymbol{\nabla}\times\left(\boldsymbol{\overline{v}}\times\boldsymbol{B'}\right)\right]` 2022 induct\_work\_pmp :math:`\boldsymbol{\overline{B}}\cdot\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\right]` 2023 induct\_work\_mpp :math:`\boldsymbol{\overline{B}}\cdot\left[\boldsymbol{\nabla}\times\left(\boldsymbol{\overline{v}}\times\boldsymbol{\overline{B}}\right)\right]` 2024 induct\_work\_mmm :math:`\boldsymbol{B}\cdot\left[\boldsymbol{B}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]` 2025 ishear\_work :math:`-\boldsymbol{B}\cdot\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{B}\right]` 2026 iadvec\_work :math:`-\boldsymbol{B}\cdot\left(\boldsymbol{\nabla}\cdot\boldsymbol{v} \right)\boldsymbol{B}` 2027 icomp\_work :math:`\boldsymbol{B'}\cdot\left[\boldsymbol{\overline{B}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]` 2028 ishear\_work\_pmp :math:`-\boldsymbol{B'}\cdot\left[\boldsymbol{\overline{v}}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]` 2029 iadvec\_work\_pmp :math:`-\boldsymbol{B'}\cdot\left(\boldsymbol{\nabla}\cdot\boldsymbol{\overline{v}} \right)\boldsymbol{B'}` 2030 icomp\_work\_pmp :math:`\boldsymbol{B'}\cdot\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\boldsymbol{\overline{v}}\right]` 2031 ishear\_work\_ppm :math:`-\boldsymbol{B'}\cdot\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{\overline{B}}\right]` 2032 iadvec\_work\_ppm :math:`-\boldsymbol{B'}\cdot\left(\boldsymbol{\nabla}\cdot\boldsymbol{v'} \right)\boldsymbol{\overline{B}}` 2033 icomp\_work\_ppm :math:`\boldsymbol{\overline{B}}\cdot\left[\boldsymbol{\overline{B}}\cdot\boldsymbol{\nabla}\,\boldsymbol{\overline{v}}\right]` 2034 ishear\_work\_mmm :math:`-\boldsymbol{\overline{B}}\cdot\left[\boldsymbol{\overline{v}}\cdot\boldsymbol{\nabla}\boldsymbol{\overline{B}}\right]` 2035 iadvec\_work\_mmm :math:`-\boldsymbol{\overline{B}}\cdot\left(\boldsymbol{\nabla}\cdot\boldsymbol{\overline{v}} \right)\boldsymbol{\overline{B}}` 2036 icomp\_work\_mmm :math:`\boldsymbol{\overline{B}}\cdot\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]` 2037 ishear\_work\_mpp :math:`-\boldsymbol{\overline{B}}\cdot\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]` 2038 iadvec\_work\_mpp :math:`-\boldsymbol{\overline{B}}\cdot\left(\boldsymbol{\nabla}\cdot\boldsymbol{v'} \right)\boldsymbol{B'}` 2039 icomp\_work\_mpp :math:`\boldsymbol{B'}\cdot\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]` 2040 ishear\_work\_ppp :math:`-\boldsymbol{B'}\cdot\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]` 2041 iadvec\_work\_ppp :math:`-\boldsymbol{B'}\cdot\left(\boldsymbol{\nabla}\cdot\boldsymbol{v'} \right)\boldsymbol{B'}` 2042 icomp\_work\_ppp :math:`-c_7\boldsymbol{B}\cdot\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B}\right)\right]` 2043 idiff\_work :math:`-c_7\boldsymbol{B'}\cdot\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\right]` 2044 idiff\_work\_pp :math:`-c_7\boldsymbol{\overline{B}}\cdot\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{\overline{B}}\right)\right]` 2045 idiff\_work\_mm ========================================================================================================================================================================== ====== =====================