SI to Smilei code units conversion check about smilei HOT 3 CLOSED

smileipic commented on May 27, 2024

SI to Smilei code units conversion check

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MickaelGrech commented on May 27, 2024

Salut Denis,

Sorry for the late answer.
If you just have a plasma (no laser) it's smart to normalize using \omega_{r} = \omega_{pe}.
In that case, you should have densities in units of n_r, so I would say that the nb density is just n_0 = 1 in normalized units.
Then Debye length is (in normalized units, i.e. in electron skin depth): Ld = sqrt{T_e/(m_e c^2)} ~ 4.42e-2, and the skin-depth is (in normalized units) 1 by convention.

Does this answer you question? I think you have not exactly one in your numerical application of the nb density just because of rounding errors.

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dsbertini commented on May 27, 2024

Thanks Michael for the answer.
I still do not understand the exact 1 for the number density
I took number density= 1.0054 just by calculating n_r = e_0 * m_e *w_r2/e2 and in my case
n_r = 8.85 .e-12 * 9.1e-31 * (1.32e6)**2/(1.6e-19)**2 ~ 5.4814 e8
then 5.51e8/5.48e8 ~ 1.0054 so number_denisty = 1.0054 *n_r
Can you tell me where i made a mistake here ?
Thanks,

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MickaelGrech commented on May 27, 2024

Ciao! You made no mistake but rounding errors! Indeed, specify w_r = \omega_pe with \omega_pe = \sqrt{e^2 n_0/(epsilon_0 me)} the electron plasma frequency corresponding to an electron (nb) density n_0 is exactly equivalent to specifying n_0 = n_r as n_r = \epsilon_0 m_e \omega_r^2/e^2. If you replace \omega_r by \omega_pe = \sqrt{e^2 n_0/(epsilon_0 me)} in the latter expression you get straight n_r = n_0. Your \Delta = 0.0054 just comes from the precision you used for the physical constants (eps0, c, me, e ...). Is it clear?

…

On Thu, Dec 21, 2017 at 3:09 PM, dsbertini ***@***.***> wrote: Thanks Michael for the answer. I still do not understand the exact 1 for the number density I took number density= 1.0054 just by calculating n_r = e_0 * m_e *w_r *2/e*2 and in my case n_r = 8.85 .e-12 * 9.1e-31 * (1.32e6)**2/(1.6e-19)**2 ~ 5.4814 e8 then 5.51e8/5.48e8 ~ 1.0054 so number_denisty = 1.0054 *n_r Can you tell me where i made a mistake here ? Thanks, — You are receiving this because you commented. Reply to this email directly, view it on GitHub <#35 (comment)>, or mute the thread <https://github.com/notifications/unsubscribe-auth/ARdSYiauYNBaJM5zgPKAknsS2GDjrmXDks5tCmZ9gaJpZM4RGq1H> .

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SI to Smilei code units conversion check about smilei HOT 3 CLOSED

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