User talk:Dstrozzi

ArbCom 2022 Elections voter message

Hello! Voting in the 2022 Arbitration Committee elections is now open until 23:59 (UTC) on Monday, 12 December 2022. All eligible users are allowed to vote. Users with alternate accounts may only vote once.

The Arbitration Committee is the panel of editors responsible for conducting the Wikipedia arbitration process. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose site bans, topic bans, editing restrictions, and other measures needed to maintain our editing environment. The arbitration policy describes the Committee's roles and responsibilities in greater detail.

If you wish to participate in the 2022 election, please review the candidates and submit your choices on the voting page. If you no longer wish to receive these messages, you may add {{NoACEMM}} to your user talk page. MediaWiki message delivery (talk) 00:20, 29 November 2022 (UTC)

ArbCom 2024 Elections voter message

Hello! Voting in the 2024 Arbitration Committee elections is now open until 23:59 (UTC) on Monday, 2 December 2024. All eligible users are allowed to vote. Users with alternate accounts may only vote once.

The Arbitration Committee is the panel of editors responsible for conducting the Wikipedia arbitration process. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose site bans, topic bans, editing restrictions, and other measures needed to maintain our editing environment. The arbitration policy describes the Committee's roles and responsibilities in greater detail.

If you wish to participate in the 2024 election, please review the candidates and submit your choices on the voting page. If you no longer wish to receive these messages, you may add {{NoACEMM}} to your user talk page. MediaWiki message delivery (talk) 00:10, 19 November 2024 (UTC)

fermi T_eff

I saw your plot with fermi gas screening power. It's interesting how closely the screening T_eff resembles the pressure. I guess this has to do with both quantities being connected to compressibility but I haven't put much thought into that...

• 
  T_eff for screening
• 
  Pressure

--Nanite (talk) 16:11, 21 November 2025 (UTC)

I don't know. Do you get a similar combo of Fermi-Dirac functions? All these things for Fermi gases should be the classical, ideal-gas result for T >> E_Fermi, something similar with T --> C E_Fermi (C = constant) for T << E_Fermi, and then some smooth transition. The lazy thing is to just do T --> (T^2 + C^2 E_F^2)^(1/2) in the ideal-gas result which gets both limits right. I did a numerical scan to find an exponent that works slightly better. Dstrozzi (talk) 13:38, 16 December 2025 (UTC)

Ah ok I see your formulae are over there at Thomas–Fermi_screening#Fermi_gas_at_arbitrary_temperature. Hmm looks like the answer is no, they are different. It boils down to this: for your T_eff you basically use F_{+1/2}/F_{-1/2} whereas for my plotted pressure I compute F_{+3/2}/F_{+1/2} . The combo is similar so it is visually similar, but if you were to scale them on top of each other, you would find the 0-temperature pressure goes 'lower' than the 0-temperature T_eff. P(0)=(2/5)nkT_F but T_eff(0)=(2/3)T_F . And if you look carefully at the plots you can see that 2/5 vs 2/3. --Nanite (talk) 08:17, 18 December 2025 (UTC)

• 
  T_eff for screening
• 
  Bulk modulus
• 
  Pressure

OK so your T_eff is basically proportional to bulk modulus: $K_{T}=nk_{\mathrm {B} }T_{\mathrm {eff} }$ (mirroring for classical gas $K_{T}=P=nk_{\mathrm {B} }T$). I added a bulk modulus plot to my thingy to that effect. --Nanite (talk) 23:17, 18 December 2025 (UTC)