Microscopic Calculation of the Dielectric Susceptibility Tensor for Coulomb Fluids
| dc.creator | Šamaj, Ladislav | |
| dc.date | 2000-04-03 | |
| dc.date.accessioned | 2026-07-07T02:37:16Z | |
| dc.date.available | 2026-07-07T02:37:16Z | |
| dc.description | In a Coulomb fluid confined to a domain $V$, the dielectric susceptibility tensor $χ_V$ depends on the shape of $V$, even in the thermodynamic $V\to\infty$ limit. This paper deals with the classical two-dimensional one-component plasma formulated in an elliptic $V$-domain, equilibrium statistical mechanics is used. For the dimensionless coupling constant $Γ=$ even positive integer, the mapping of the plasma onto a discrete one-dimensional anticommuting-field theory provides a new sum rule. This sum rule confirms the limiting value of $χ_V$ predicted by macroscopic electrostatics and gives the finite-size correction term to $χ_V$. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0004017 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0004017 | |
| dc.identifier | J. Stat. Phys. 100 (2000) 949-967 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16221 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Microscopic Calculation of the Dielectric Susceptibility Tensor for Coulomb Fluids | |
| dc.type | text |