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Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates
Starting from the three-dimensional (3D) Gross-Pitaevskii equation and using a variational approach, we derive an effective 1D wave equation that describes the axial dynamics of a Bose condensate
Thermophoresis in colloidal suspensions
TLDR
This review aims to be a critical re-examination of the experimental and theoretical tools used to investigate thermophoresis, and of some recent relevant results that may unravel novel aspects of colloid solvation forces.
Direct evidence for a gapless $Z_2$ spin liquid by frustrating Néel antiferromagnetism
By direct calculations of the spin gap in the frustrated Heisenberg model on the square lattice, with nearest- ($J_1$) and next-nearest-neighbor ($J_2$) super-exchange couplings, we provide a solid
Condensate fraction of a Fermi gas in the BCS-BEC crossover (4 pages)
We investigate the Bose-Einstein condensation of fermionic pairs in a uniform two-component Fermi gas, obtaining an explicit formula for the condensate density as a function of the chemical potential
Particle thermophoresis in liquids
  • A. Parola, R. Piazza
  • Physics, Chemistry
    The European physical journal. E, Soft matter
  • 16 November 2004
TLDR
By adopting a Smoluchowski picture of colloid motion, a general expression for the Soret coefficient ST is found, which is applied to the specific cases of neutral colloids in pure solvent and of Debye-Hückel systems and agrees with those obtained by previous hydrodynamic approaches.
Nonlinear unbalanced bessel beams: stationary conical waves supported by nonlinear losses.
TLDR
The existence of localized and stationary solutions of the 2D + 1 nonlinear Schrödinger equation are found, which are stable against radial collapse and behave as a strong attractor for the self-focusing dynamics in Kerr media.
Liquid state theories and critical phenomena
The description of the critical behaviour within liquid state theories is reviewed with emphasis on both the universal and the non-universal properties. Simple lattice and continuous models, such as
Nonlinear unbalanced O waves : nonsolitary, conical light bullets in nonlinear dissipative media
Nonlinear unbalanced O waves are localized wave packets that propagate without transversal diffraction broadening and temporal dispersion spreading in nonlinear media with anomalous dispersion. The
Role of backflow correlations for the nonmagnetic phase of the t-t(') Hubbard model
We introduce an efficient way to improve the accuracy of projected wave functions, widely used to study the two-dimensional Hubbard model. Taking the clue from the backflow contribution, whose
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