ar X iv : c on d - m at / 9 61 20 54 v 1 5 D ec 1 99 6 Vortex annihilation in the ordering kinetics of the O ( 2 ) model

ar X iv : c on d - m at / 9 41 20 99 v 1 2 1 D ec 1 99 4 Ballistic annihilation kinetics for a multi - velocity one - dimensional ideal gas .

Ballistic annihilation kinetics for a multi-velocity one-dimensional ideal gas is studied in the framework of an exact analytic approach. For an initial symmetric three-velocity distribution, the problem can be solved exactly and it is shown that different regimes exist depending on the initial fraction of particles at rest. Extension to the case of a n-velocity distribution is discussed. PACS ...

ar X iv : s ol v - in t / 9 61 20 02 v 1 4 D ec 1 99 6 Correlators of the phase model

We introduce the phase model on a lattice and solve it using the algebraic Bethe ansatz. Time-dependent temperature correlation functions of phase operators and the " darkness formation probability " are calculated in the thermodynamical limit. These results can be used to construct integrable equations for the correlation functions and to calculate their asymptotics.

ar X iv : c on d - m at / 9 61 21 37 v 1 1 4 D ec 1 99 6 A complete devil ’ s staircase in the Falicov - Kimball model

In this letter we study the ground-state phase diagram of the one-dimensional Falicov-Kimball model. This model was proposed to describe metal-insulator transitions [ 1] and has since been investigated in connection with a variety of problems such as binary alloys [ 2], ordering in mixed-valence systems [ 3], and the formation of ionic crystals [ 4]. It is the latter language we shall use here,...

ar X iv : g r - qc / 9 61 20 09 v 1 3 D ec 1 99 6 Signal analysis of gravitational waves

ar X iv : s ol v - in t / 9 61 20 02 v 2 2 0 D ec 1 99 6 Correlators of the phase model

We introduce the phase model on a lattice and solve it using the algebraic Bethe ansatz. Time-dependent temperature correlation functions of phase operators and the " darkness formation probability " are calculated in the thermodynamical limit. These results can be used to construct integrable equations for the correlation functions and to calculate their asymptotics.