Journal of Statistical Physics
1572-9613
Cơ quản chủ quản: SPRINGER , Springer New York
Lĩnh vực:
Mathematical PhysicsStatistical and Nonlinear Physics
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Thông tin về tạp chí
Các bài báo tiêu biểu
On the temperature dependence of the mean number of clusters
Tập 63 - Trang 783-790 - 1991
The random variable number of cluster defined on the configurations of a ferromagnetic Ising model at zero field and inverse temperatureβ on a graphG is considered. The Gibbs average atβ=0 is proved to be greater than the one atβ>0 if the degree ofG is not greater than 3.
Applications of the Stell–Hemmer Potential to Understanding Second Critical Points in Real Systems
Tập 100 Số 1 - Trang 97-106 - 2000
We consider the novel properties of the Stell–Hemmer core-softened potentials. First we explore how the theoretically predicted second critical point for these potentials is related to the occurrence of the experimentally observed solid–solid isostructural critical point. We then discuss how this class of potentials can generate anomalies analogous to those found experimentally in liquid water.
Relaxed criteria of the Dobrushin-Shlosman mixing condition
Tập 87 - Trang 293-309 - 1997
An interacting particle system (Glauber dynamics) which evolves on a finite subset in thed-dimensional integer lattice is considered. It is known that a mixing property of the Gibbs state in the sense of Dobrushin and Shlosman is equivalent to several very strong estimates in terms of the Glauber dynamics. We show that similar, but seemingly much milder estimates are again equivalent to the Dobrushin-Shlosman mixing condition, hence to the original ones found by Stroock and Zegarlinski. This may be understood as the absence of intermediate speed of convergence to equilibrium.
Anderson localization and the space-time characteristic of continuum states
Tập 75 - Trang 337-346 - 1994
A proof of Anderson localization is obtained by ruling out any continuous spectrum on the basis of the space-time characteristic of its states.
An Approach to Wegner’s Estimate Using Subharmonicity
Tập 134 - Trang 969-978 - 2009
We develop a strategy to establish a Wegner estimate and localization in random lattice Schrödinger operators on
$\Bbb{Z}^{d}$
, which does not rely on the usual eigenvalue variation argument. Our assumption is that the potential V(ω) depends real analytically on ω and we use a distributional property of analytic functions in many variables. An application is given to models where V
n
is a self-adjoint matrix obtained by random unitary conjugation V
n
=U
n
AU
*
of a fixed matrix A.
Nonperiodic Long-Range Order for Fast-Decaying Interactions at Positive Temperatures
Tập 90 - Trang 1441-1447 - 1998
We present the first example of an exponentially decaying interaction which gives rise to nonperiodic long-range order at positive temperatures.
Nonequilibrium Gas and Generalized Billiards
Tập 126 - Trang 117-132 - 2006
Generalized billiards describe nonequilibrium gas, consisting of finitely many particles, that move in a container, whose walls heat up or cool down. Generalized billiards can be considered both in the framework of the Newtonian mechanics and of the relativity theory. In the Newtonian case, a generalized billiard may possess an invariant measure; the Gibbs entropy with respect to this measure is constant. On the contrary, generalized relativistic billiards are always dissipative,and the Gibbs entropy with respect to the same measure grows under some natural conditions. In this article, we find the necessary and sufficient conditions for a generalized Newtonian billiard to possess a smooth invariant measure, which is independent of the boundary action: the corresponding classical billiard should have an additional first integral of special type. In particular,the generalized Sinai billiards do not possess a smooth invariant measure. We then consider generalized billiards inside a ball, which is one of the main examples of the Newtonian generalized billiards which does have an invariant measure. We construct explicitly the invariant measure, and find the conditions for the Gibbs entropy growth for the corresponding relativistic billiard both formonotone and periodic action of the boundary.
Evidence of stochastic resonance in a laser with saturable absorber: Experiment and theory
Tập 70 - Trang 403-412 - 1993
A laser with intracavity saturable absorber showing optical bistability is investigated through the simultaneous injection of modulation and noise on the pumping parameter; stochastic resonance is exhibited in the measured signal-to-noise ratio of the laser intensity.
More correlation inequalities for a class of even ferromagnets
Tập 46 - Trang 35-38 - 1987
Rigorous correlation inequalities are presented for a class of even ferromagnets, which includes the spin-1/2 Ising model and scalar ϕ4 models. One of them leads to an extension of the Glimm and Jaffe uniform upper bound on the ϕ4 renormalized coupling constant into the nonsymmetric regime.