The Lieb–Schupp inequality is the inequality between ground state energies of certain antiferromagnetic Heisenberg spin systems. In our paper, the numerical value of energy difference given by Lieb–Schupp inequality has been tested for spin systems in various geometries: chains, ladders and...

Starting from inhomogeneous time scaling and linear decorrelation between successive price returns, Baldovin and Stella recently devised a model describing the time evolution of a financial index. We first make it fully explicit by using Student distributions instead of power law-truncated Levy...

We consider site percolation of dimers (“needles”) on simple cubic lattice. The percolation threshold is estimated as p<Subscript>c</Subscript> <Superscript>perc</Superscript> ≈ 0.2555 ± 0.0001. The jamming threshold is estimated as p<Subscript>c</Subscript> <Superscript>jamm</Superscript>=0.799 ± 0.002. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

The survival of autocatalytic agents in hostile environments depends on their ability to adapt their spatial configuration to local fluctuations. A model of diffusive reactants that extract the advantage of spatio-temporal fluctuations associated with the stochastic wandering of diffusive...

We studied distribution of zeros of the partition function of ferromagnetic Ising model near the Yang–Lee edge on two self-similar structures. We have shown that the nature of associated critical behavior crucially depends on the local lattice structure: If the sites of higher coordination...

The extended Hubbard model in the atomic limit (AL-EHM) on a square lattice with periodic boundary conditions is studied with use of the Monte Carlo (MC) method. Within the grand canonical ensemble the phase and order-order boundaries for charge orderings are obtained. The phase diagrams include...