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- W2079132366 abstract "An exact lower bound for the correlation energy of a three-dimensional classical one-component plasma (OCP), based on Mermin's inequality for the structure factor and a trivial inequality for the pair correlation function, is generalized to the cases of $d$-dimensional OCP's with $d$-dimensional Coulomb interaction where $d=1,2, mathrm{and} 3$. For $d=1$ and $d=3$, this lower bound gives values close to the known exact values and the results of numerical experiments, respectively. In the case of $d=2$, where the interaction potential is logarithmic, this lower bound improves upon the known one in the domain $frac{{e}^{2}}{T}<25.0$, $e$ and $T$ being the charge and the temperature in energy units." @default.
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- W2079132366 date "1979-06-01" @default.
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- W2079132366 title "Lower bounds for thermodynamic quantities of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>d</mml:mi></mml:math>-dimensional classical one-component plasmas with<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>d</mml:mi></mml:math>-dimensional Coulomb interactions (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><…" @default.
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- W2079132366 doi "https://doi.org/10.1103/physreva.19.2433" @default.
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