We numerically investigate an S=1/2 spin model, in which two dimerized antiferromagnetic rings interact with each other ferromagnetically. It is shown that the order of the magnetoelastic transition is strongly affected by the interring coupling J<Subscript>⊥</Subscript> and there may exist a critical J<Subscript>⊥</Subscript> <Superscript>*</Superscript>...</superscript></subscript></subscript>

Kinetic representation of fluid dynamics is essential for describing flows far beyond the Navier–Stokes regime. Existing lattice Boltzmann models suffer from discrete rotation artifacts at high Knudsen number (Kn). In this paper, we present a new approach that directly addresses this issue and...

Most of current lattice Boltzmann (LB) research is based on the single-time relaxation approximation of the continuum Boltzmann equation. In this note we present a few critical considerations on the reasons behind the success of such an approach and discuss new developments in the direction of...