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
-
Bounds for the connective constant of the hexagonal lattice
S E Alm and R Parviainen 2004 J. Phys. A: Math. Gen. 37 549
-
Determinant structure of RI type discrete integrable system
Atsushi Mukaihira and Satoshi Tsujimoto 2004 J. Phys. A: Math. Gen. 37 4557
-
Application of the density matrix renormalization group method to finite temperatures and two-dimensional systems
Naokazu Shibata 2003 J. Phys. A: Math. Gen. 36 R381
-
Recursion operator for the stationary Nizhnik–Veselov–Novikov equation
M Marvan and A Sergyeyev 2003 J. Phys. A: Math. Gen. 36 L87
-
Quantum monodromy in the two-centre problem
H Waalkens et al 2003 J. Phys. A: Math. Gen. 36 L307
-
Moments of generalized Husimi distributions and complexity of many-body quantum states
Ayumu Sugita 2003 J. Phys. A: Math. Gen. 36 9081
-
Topological defects in spinor condensates
H Mäkelä et al 2003 J. Phys. A: Math. Gen. 36 8555
-
Bounds on general entropy measures
Dominic W Berry and Barry C Sanders 2003 J. Phys. A: Math. Gen. 36 12255
-
Average and reliability error exponents in low-density parity-check codes
N S Skantzos et al 2003 J. Phys. A: Math. Gen. 36 11131
Related review articles
What's this?- Vector coherent state representations and their inner products
- Fermionic coherent states
- Open mathematical problems regarding non-Newtonian fluids