Researchers accurately replicate the predictions of 1D random-field Ising model in an artificial spin ice.

the morphological river evolution at long-time (centuries and even millennia) and large spatial scale (watersheds of several square kilometres) can be described by means of simplified 1d models, able to simulate the variation of bed elevation and grain size composition at non-detailed scales, involving a reduced computational effort. the erosion and deposition phenomena acting along rivers can ...

water for agriculture is one of the most important factors in arid and semi-arid areas and municipal wastewater treatment is an important resource for this purpose. therefore, potential of transfer contaminations is a serious problem regarding use of treated wastewater for agriculture. due to the risk of transfer contaminations through the use of wastewater, the study of transfer microbes in so...

We study the transport properties of one-dimensional (1D) interacting Fermions through a barrier by numerically calculating the Kohn charge stiffness constant and the relative Drude weight. We find that the transport properties of the 1D Hubbard model are quite different from those of the 1D spinless Fermion model. For example, the presence of the attractive interaction between electrons in the...

We study the dynamics of a one-dimensional non-linear and nonlocal drift-diffusion equation set in the half-line, with the coupling involving the trace value on the boundary. The initial mass M of the density determines the behaviour of the equation: attraction to self similar profile, to a steady state of finite time blow up for supercritical mass. Using the logarithmic Sobolev and the HWI ine...

Disorder in the 1D spinless Holstein model. Abstract: We investigate a spinless fermion system on a one dimensional lattice interacting locally with the optical modes of a quantized phonon field: the Holstein model. The system is shown to have a disordered ground state, for small enough coupling, at any density. This is in contrast to the non quantized phonon case, the static Holstein model, wh...