A variational principle behind van der Waals picture of strongly coupled plasmas

Abstract

Various strong coupling theories of the one-component plasma have successfully predicted the thermodynamic and structural properties by separating the Coulomb potential into short- and long-ranged parts in {\itshape ad hoc} ways. Moreover, it has been demonstrated that the density-density correlation function in a mimic system with only the short-ranged interactions resembles that of the full Coulomb system, revealing that the van der Waals picture applies to the strongly coupled Coulomb systems. Here we provide a variational theory forming the basis of the van der Waals picture. Our approach provides hybrid formulations which combine both the liquid state theory and statistical field theory; essential use is made of the coarse-grained system with only long-raged part of Coulomb interactions as a reference system in introducing both lower bound variational principle and strong coupling expansion.

http://iopscience.iop.org/article/10.1088/1751-8113/42/8/082004/meta

References in corpus (2)

• Attraction Between Like-Charged Walls: Short-Ranged Simulations Using Local Molecular Field Theory
• Functional-integral approach to Coulomb fluids in the strong coupling limit

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