# Localized charge inhomogeneities and phase separation near a second-order phase transition

## Related Articles

- Long-range Coulomb interactions in small Si devices. Part I: Performance and reliability. Fischetti, M. V.; Laux, S. E. // Journal of Applied Physics;1/15/2001, Vol. 89 Issue 2, p1205
In the ever smaller silicon metal-oxide-semiconductor field-effect transistors of the present technology, electrons in the conductive channel are subject to increasingly stronger long-range Coulomb interactions with high-density electron gases present in the source, drain, and gate regions. We...

- SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems. Aguirre, M.; Krause, J. // Journal of Mathematical Physics;Jan1988, Vol. 29 Issue 1, p9
The converse problem of similarity analysis is solved in general for the finite symmetry transformations of any inhomogeneous ordinary linear differential equation of the second order &xuml; + f[sub 2] ( t) x + f[sub 1] ( t)x = f[sub o] ( t). The eight-parameter realizations of the symmetry...

- Exact solutions for wave equations of two-layered media with smooth transition. Bluman, George; Kumei, Sukeyuki // Journal of Mathematical Physics;Jan1988, Vol. 29 Issue 1, p86
The wave equation c2(x)uxx-utt=0 is solved for wave speeds c(x) corresponding to two-layered media with smooth transition from layer to layer. The wave speed c(x) has four free parameters to fit a given medium. Solutions are constructed from invariant solutions of a related system of first-order...

- On the infinite-dimensional symmetry group of the Daveyâ€“Stewartson equations. Champagne, B.; Winternitz, P. // Journal of Mathematical Physics;Jan1988, Vol. 29 Issue 1, p1
The Lie algebra of the group of point transformations, leaving the Davey-Stewartson equations (DSE's) invariant, is obtained. The general element of this algebra depends on four arbitrary functions of time. The algebra is shown to have a loop structure, a property shared by the symmetry algebras...

- A new eight-vertex model with an infinite number of commensurate phases. Sen, Diptiman // Journal of Mathematical Physics;Dec88, Vol. 29 Issue 12, p2682
A symmetric eight-vertex model, containing four even vertices with reak weights and four odd vertices with imaginary weights, is found to exhibit an infinite number of commensurate phases. The phase diagram is conjectured to be a complete devilâ€™s staircase similar to that of certain...

- Finite-dimensional representations of the special linear Lie superalgebra sl(1,n). II. Nontypical representations. Palev, Tchavdar D. // Journal of Mathematical Physics;Dec88, Vol. 29 Issue 12, p2589
All nontypical irreducible representations of the special linear Lie superalgebra sl (1,n) are constructed for any n. Explicit expressions for the transformation of the basis under the action of the generators are given. The results of this paper together with those obtained in Paper I [J. Math....

- BÃ¤cklund transformations for the Caudreyâ€“Doddâ€“Gibbonâ€“Sawadaâ€“Kotera equation and its Î»-modified equation. Chan, W. L.; Zheng, Yu-kun // Journal of Mathematical Physics;Sep89, Vol. 30 Issue 9, p2065
A Î»-modified equation for the Caudrey-Dodd-Gibbon-Sawada-Kotera equation is introduced. A new BÃ¤cklund transformation for this equation is derived from the invariance property of the scattering problem for the Caudrey-Dodd-Gibbon-Sawada-Kotera equation under a Cram transformation [Q. J....

- Canonoid transformations in generalized mechanics. Teixeira, Julio M.; Negri, Luiz J.; De Oliveira, Luimar C. // Journal of Mathematical Physics;Sep89, Vol. 30 Issue 9, p2062
The problem of obtaining two Hamiltonian functions linked by a canonoid transformation is solved in the realm of generalized mechanics. By pairing the canonically conjugated pairs of variable a technique that also appears to be useful in solving many other problems in generalized mechanics is...

- Lattice Dynamics of MF[sub 3] Crystals (M = Al, Ga, and In). Zinenko, V. I.; Zamkova, N. G. // Physics of the Solid State;Jul2000, Vol. 42 Issue 7, p1348
The phonon spectra, Born effective charges, and dielectric constants Îµ[sub âˆž] for the ...AlF[sub 3], ...GaF[sub 3], and ...InF[sub 3] crystals (where ... is a vacancy) have been calculated in terms of the generalized Gordon-Kim method. The calculated spectra of lattice vibrations contain...