# Journal of Statistical Physics

Journal of Statistical Physics > 2010 > 140 > 1 > 76-89

*N*body Schrödinger evolution of interacting particles without using BBGKY hierarchies. In this paper we wish to analyze scalings which lead to the Gross-Pitaevskii equation which is usually derived assuming positivity of the interaction...

Journal of Statistical Physics > 2010 > 140 > 1 > 170-197

Journal of Statistical Physics > 2010 > 140 > 1 > 103-121

Journal of Statistical Physics > 2010 > 140 > 1 > 27-55

*η*take finitely many values. To investigate the size-dependence in the phase-transition regime we construct the metastate describing the probabilities to find a large system close to a particular convex combination of the pure infinite-volume states. We show that, under a non-degeneracy...

Journal of Statistical Physics > 2010 > 140 > 1 > 154-169

Journal of Statistical Physics > 2010 > 140 > 1 > 56-75

Journal of Statistical Physics > 2010 > 140 > 1 > 122-153

Journal of Statistical Physics > 2010 > 140 > 1 > 90-102

Journal of Statistical Physics > 2010 > 140 > 1 > 1-26

_{4}. It is shown how this relation allows to define chordal SLE

_{4}processes on doubly connected domains, describing traces that are anchored on one of the two boundary components. The precise nature of the processes depends on the conformally invariant boundary conditions imposed on the second boundary component. Extensions of Schramm’s...

Journal of Statistical Physics > 2010 > 140 > 1 > 198-207

Journal of Statistical Physics > 2010 > 140 > 2 > 232-267

*ρ*

_{−}and right density

*ρ*

_{+}. We study the associated height function, whose discrete gradient is given by the particle occurrences. Macroscopically one has a deterministic limit shape with a shock or a rarefaction fan depending on the values of

*ρ*

_{±}. We characterize...

Journal of Statistical Physics > 2010 > 140 > 2 > 289-335

Journal of Statistical Physics > 2010 > 140 > 2 > 209-231

Journal of Statistical Physics > 2010 > 140 > 2 > 393-408

^{ d }, and infinite homogeneous trees. By using the generating function method, we compute the limit of the average probability distribution for the general isotropic walk on ℤ, and for nearest-neighbor walks on ℤ

^{ d }and infinite homogeneous trees. In addition, we compute the asymptotic...

Journal of Statistical Physics > 2010 > 140 > 2 > 349-392

*N*-step self-avoiding walks is

*O*(1) for the square and simple cubic...

Journal of Statistical Physics > 2010 > 140 > 2 > 336-348

*γ*. We show that heat transport is anomalous, and that the thermal conductivity diverges with the length

*n*of the chain according to

*κ*(

*n*)∼

*n*

^{ α }, with 0<

*α*≤1/2. In particular, the ballistic heat conduction...

Journal of Statistical Physics > 2010 > 140 > 2 > 268-288

Journal of Statistical Physics > 2010 > 140 > 3 > 467-493

Journal of Statistical Physics > 2010 > 140 > 3 > 427-466

*random*matrices are obtained by making these interactions and their positions random. We exhibit a simple one-dimensional quantum model corresponding to the most general product of matrices in SL(2,ℝ). We use this correspondence to find new...

Journal of Statistical Physics > 2010 > 140 > 3 > 565-602

*n*(

*x*)? We give a positive answer to that question, in dimension one. This enables to define rigourously the notion of local quantum equilibrium, or quantum Maxwellian, which is at...