# Journal of Statistical Physics

Journal of Statistical Physics > 1997 > 87 > 3-4 > 951-954

*d*<4, was in error. Instead it is simply given by Δ=

*n*

_{0}, the initial density, for uncorrelated initial conditions.

Journal of Statistical Physics > 1997 > 88 > 3-4 > 927-944

*o*(

*M*

^{2}), where

*M*is the Mach number, due to the density fluctuation in the existing LB models. In the proposed incompressible LB model, the pressure

*p*instead of the mass density ρ is the independent dynamic variable. The incompressible Navier–Stokes equations...

Journal of Statistical Physics > 1997 > 88 > 3-4 > 979-984

Journal of Statistical Physics > 1997 > 88 > 3-4 > 781-793

Journal of Statistical Physics > 1997 > 88 > 3-4 > 843-871

Journal of Statistical Physics > 1997 > 88 > 3-4 > 691-711

Journal of Statistical Physics > 1997 > 88 > 3-4 > 537-566

*J*

_{γ}(

*x*,

*y*) that depends on the Kac scaling parameter γ. We prove that the inverse critical temperature β

_{cr}(γ) is strictly above the mean-field value (equal to 1), namely that there exists

*C*>0 so that for any

*b<C*, β

_{cr}(γ)> 1 +

*b*γ

^{2}log γ

^{−1}for all γ sufficiently small. The temperature shift

*C*γ

^{2}log γ

^{−1}is to...

Journal of Statistical Physics > 1997 > 88 > 3-4 > 665-689

Journal of Statistical Physics > 1997 > 88 > 3-4 > 967-977

Journal of Statistical Physics > 1997 > 88 > 3-4 > 713-743

Journal of Statistical Physics > 1997 > 88 > 3-4 > 991-995

Journal of Statistical Physics > 1997 > 88 > 3-4 > 637-664

Journal of Statistical Physics > 1997 > 88 > 3-4 > 885-911

*r*+ ε/

*r*

^{2}). For the pure Manev potential γ = 0 we discuss both the continuous case and the

*N*-body problem and show that global solutions will not exist if the initial energy is negative. Certain global solutions can be constructed from local ones by a transformation which is peculiar...

Journal of Statistical Physics > 1997 > 88 > 3-4 > 945-966

Journal of Statistical Physics > 1997 > 88 > 3-4 > 745-780

*XXZ*chain. The string hypothesis assumes that complex rapidities of the bound states take special forms. It is known, however, that there exist “non-string states,” which substantially disagrees with the string hypothesis. In order to clarify their nature, we study the large-

*N*behavior of solutions of the Bethe-Ansatz equations to obtain explicit forms...

Journal of Statistical Physics > 1997 > 88 > 3-4 > 985-989

Journal of Statistical Physics > 1997 > 88 > 3-4 > 617-636

Journal of Statistical Physics > 1997 > 88 > 3-4 > 825-842