# Journal of Statistical Physics

Journal of Statistical Physics > 2010 > 138 > 1-3 > 333-350

Journal of Statistical Physics > 2010 > 138 > 1-3 > 496-542

*q*colors to the vertices of a graph such that adjacent vertices have different colors, with a vertex weighting

*w*that either disfavors or favors a given color. We exhibit a weighted chromatic polynomial

*Ph*(

*G*,

*q*,

*w*) associated with this problem that generalizes the chromatic polynomial

*P*(

*G*,

*q*). General properties of this polynomial are...

Journal of Statistical Physics > 2010 > 138 > 1-3 > 51-84

Journal of Statistical Physics > 2010 > 138 > 1-3 > 381-410

*N*evolving in discrete time under the influence of selection and mutation. Beneficial mutations appear at rate

*U*and their selective effects

*s*are drawn from a distribution

*g*(

*s*). After introducing the required models and concepts of mathematical population genetics, we review different approaches to computing the speed of logarithmic fitness...

Journal of Statistical Physics > 2010 > 138 > 1-3 > 20-28

Journal of Statistical Physics > 2010 > 138 > 1-3 > 143-159

*n*particles are added at the origin on a stable background configuration in ℤ

^{ d }. Any site with at least 2

*d*particles then topples by sending one particle to each neighbor. We find that with constant background height

*h*≤2

*d*−2, the diameter of the set of sites that topple has order

*n*

^{1/d }. This was previously known only for

*h*<

*d*. Our proof uses a strong...

Journal of Statistical Physics > 2010 > 138 > 1-3 > 8-19

Journal of Statistical Physics > 2010 > 138 > 1-3 > 465-475

Journal of Statistical Physics > 2010 > 138 > 1-3 > 2-7

Journal of Statistical Physics > 2010 > 138 > 1-3 > 351-380

*L*in

*d*-dimensions. We derive the necessary and sufficient conditions for the existence of a phase transition, which are based on the criteria first uncovered in Gates and Penrose (Commun. Math. Phys. 17:194–209, 1970) and Kirkwood and Monroe (J. Chem. Phys. 9:514–526, 1941). Therein and in subsequent works, one finds indications...

Journal of Statistical Physics > 2010 > 138 > 1-3 > 126-142

^{ d }. The particles can exist in two states, active or inactive (sleeping); only the former can hop. The dynamics conserves the number of particles; there is no limit on the number of particles at a given site. Isolated active particles fall asleep at rate

*λ*>0, and then remain asleep until joined by another particle...

Journal of Statistical Physics > 2010 > 138 > 1-3 > 270-290

*N*oscillators, each driven by an independent Brownian motion with a constant drift, that is each oscillator has its own frequency, which, in general, changes from one...

Journal of Statistical Physics > 2010 > 138 > 1-3 > 160-269

Journal of Statistical Physics > 2010 > 138 > 1-3 > 29-39

Journal of Statistical Physics > 2010 > 138 > 1-3 > 305-332

*α*, an inviscid second-grade complex fluid, equations to the corresponding solutions of the Euler equations, as the regularization parameter

*α*approaches zero. First we show the convergence in

*H*

^{ s },

*s*>

*n*/2+1, in the whole space, and that the smooth Euler-

*α*solutions exist at least as long as the corresponding solution of...

Journal of Statistical Physics > 2010 > 138 > 1-3 > 85-125

Journal of Statistical Physics > 2010 > 138 > 1-3 > 431-446

Journal of Statistical Physics > 2010 > 138 > 1-3 > 476-495