Unit conversion tool

This is an automated unit conversion tool. Fill in the 4 fundamental quantities, \(\hat{c}\), (numerical speed of light), \(\hat{R}\) (skin depth resolution), \(\hat{n}_{ppc}\) (particles per cell per species), \(\sigma\) (magnetization), and the resulting numerical and physical values are automatically updated.

Add also a length scale, \(\Delta x/1 \mathrm{cm}\), to get the resulting physical values.

---

\( \hat{c}= \)

\( \hat{R}= \)

\( \hat{n}_{\mathrm{ppc}} = \)

\( \sigma= \)

\( \Delta x/(1~\mathrm{cm}) = \)

---

Numerical simulation variables

\( \omega_{pe}= \) \( \Delta t^{-1} \)

\( \omega_B= \) \( (\gamma\beta)^{-1} \Delta t^{-1}\)

\( r_L= \) \( \gamma\beta \Delta x\)

\( v_A= \) \( c \)

\( B_0 = \)

\( | q_e | = m_e = \)

---

Physical scales

\( B = \) \( \hat{B} ~\mathrm{Gauss} \)

\( E = \) \( \hat{E} ~\mathrm{statvolt}~\mathrm{cm}^{-1} \)

\( J = \) \( \hat{J} ~\mathrm{statcoul}~\mathrm{s}^{-1} \)

\( q_e = \) \( ~\mathrm{statcoul} \)

\( \frac{c}{\omega_{pe}} = \) \( ~\mathrm{cm} \)

\( \omega_{pe} = \) \( ~\mathrm{s}^{-1} \)

\( n_e = \) \( ~\mathrm{cm}^{-3} \)