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Direct observation of critical fluctuations in a binary mixture (1990)

Beysens, D. ; Guenoun, P. ; Perrot, F.

Springer

International journal of thermophysics 11 (1990), S. 37-48

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ISSN: 1572-9567

Keywords: concentration fluctuations ; critical phenomena ; fractal dimensionality ; liquid mixtures ; percolation

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract Microscopic observations of concentration fluctuations in the range 1–500 μm have been performed in a number of binary fluids near their critical temperature (T c). A heterodyne technique has been used. The temperature range (T-T c = 1–25 mK) is such that the sizes of the fluctuations are larger than or equal to the correlation length, measured usually as the inverse half-width of the structure factor of the fluctuations. Image analysis has given some information about the free energy of the system determined from the intensity distribution function. Also, the shape of the fluctuations can be studied. These are self-similar over more than three decades, with a fractal dimension of D f = 2.8. This value is compared with a number of theoretical predictions.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00503857

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Current density functional theory in a continuum and lattice lagrangians: Application to spontaneously broken chiral ground states (1992)

Rasolt, Mark ; Vignale, G. ; Perrot, F.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 44 (1992), S. 359-370

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ISSN: 0020-7608

Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: We formulate the current-density functional theory for systems in arbitrarily strong magnetic fields. A set of self-consistent equations comparable to the Kohn-Sham equations for ordinary density functional theory is derived, and proved to be gauge-invariant and to satisfy the continuity equation. These equations of Vignale and Rasolt involve the gauge field corresponding to the external magnetic field as well as a new gauge field generated entirely from the many-body interactions. We next extend this gauge theory (following Rasolt and Vignale) to a lattice Lagrangian believed to be appropriate to a tight-binding Hamiltonian in the presence of an external magnetic field. We finally examine the nature of the ground state of a strongly nonuniform electron gas in the presence of this many-body, self-induced gauge field. © 1992 John Wiley & Sons, Inc.

Additional Material: 1 Ill.