Jean-Noël Aqua and Michael E Fisher 2004 J. Phys. A: Math. Gen. 37 L241 doi:10.1088/0305-4470/37/24/L02
Charge and density fluctuations lock horns: ionic criticality with power-law forces
FREE ARTICLEJean-Noël Aqua and Michael E Fisher
Show affiliationsLETTER TO THE EDITOR
How do charge and density fluctuations compete in ionic fluids near gas–liquid criticality when quantum mechanical effects play a role? To gain some insight, long-range 
interactions (with σ > 0), which encompass van der Waals forces (when σ = d = 3), have been incorporated in exactly soluble, d-dimensional 1:1 ionic spherical models with charges ±q0 and hard-core repulsions. In accord with previous work, when d > min{σ, 2} (and q0 is not too large), the Coulomb interactions do not alter the (q0 = 0) critical universality class that is characterized by density correlations at criticality decaying as 1/rd−2+η with η = max{0, 2 − σ}. But screening is now algebraic, the charge–charge correlations decaying, in general, only as 1/rd+σ+4; thus σ = 3 faithfully mimics known noncritical d = 3 quantal effects. But in the absence of full (+, −) ion symmetry, density and charge fluctuations mix via a transparent mechanism: then the screening at criticality is weaker by a factor r4−2η. Furthermore, the otherwise valid Stillinger–Lovett sum rule fails at criticality whenever η = 0 (as, e.g., when σ > 2) although it remains valid if η > 0 (as for σ < 2 or in real d ≤ 3 Ising-type systems).
- PACS
-
64.70.F- Liquid–vapor transitions
64.60.Ht Dynamic critical phenomena
02.10.De Algebraic structures and number theory
- MSC
- Subjects
-
Soft matter, liquids and polymers
- Dates
-
Issue 24 (18 June 2004)
Received 6 May 2004
Published 2 June 2004
-
Charge and density fluctuations lock horns: ionic criticality with power-law forces
Jean-Noël Aqua and Michael E Fisher 2004 J. Phys. A: Math. Gen. 37 L241
-
Infrared losses from a Na/Sc metal-halide high intensity discharge arc lamp
D J Smith et al 2003 J. Phys. D: Appl. Phys. 36 1519
-
Kick stability in groups and dynamical systems
Leonid Polterovich and Zeev Rudnick 2001 Nonlinearity 14 1331
-
Momentum Transfer of an Atom Moving in an Optical Cavity
Zhang Jing-Tao and Xu Zhi-Zhan 2001 Chinese Phys. Lett. 18 1069
-
Optical absorption spectroscopy on a metal-halide high intensity discharge arc lamp using synchrotron radiation
G A Bonvallet and J E Lawler 2003 J. Phys. D: Appl. Phys. 36 1510
-
Spectroscopic studies of carbon-13 synthetic diamond
A T Collins et al 1988 J. Phys. C: Solid State Phys. 21 1363
-
Microstructural effects on the flow law of power-law fluids through fibrous media
Z Idris et al 2004 Modelling Simul. Mater. Sci. Eng. 12 995
-
The connexion between positronium and the condensation of oxygen on silica and alumina powders
C E Haynes et al 1994 J. Phys.: Condens. Matter 6 2277
-
A new approach in atomic configuration interaction calculations
D J Newman and C D Taylor 1972 J. Phys. B: At. Mol. Phys. 5 2332
-
Phase Modulation in High-resolution Optical Interferometry
G Basile et al 1991 Metrologia 28 455
Users also read
What's this?- Simulating auditory and visual sensorineural prostheses: a comparative review
- Transport properties of doped RuSr2GdCu2O8 superconductor
- Charm production in DPMJET
Related review articles
What's this?- Open mathematical problems regarding non-Newtonian fluids
- Using multiscale norms to quantify mixing and transport
- Universality of Wigner random matrices: a survey of recent results