We study the 2d-Ising model defined on finite boxes at temperatures that are below but very close from the critical point. When the temperature approaches the critical point and the size of the box grows fast enough, we establish large deviations estimates on FK-percolation events that concern the phenomenon of phase coexistence.

Abstract. We exhibit a change of variables that turns the critical nonlinear Schrödinger equation into the critical nonlinear Schrödinger equation with isotropic harmonic potential, in any space dimension. This change of variables is isometric on L, and bijective on some time intervals. Using the known results for the critical nonlinear Schrödinger equation, this provides information for the pr...

The vulcanization transition is addressed via a minimal replica-field-theoretic model. The appropriate long-wavelength behavior of the two- and three-point vertex functions is considered diagrammatically, to all orders in perturbation theory, and identified with the corresponding quantities in the Houghton-Reeve-Wallace field-theoretic approach to the percolation critical phenomenon. Hence, it ...

associated with increased mortality in the setting of incessant tachycardia'. This was also the experience of more recent investigators using surgery. Other investigational approaches never fulfilled their initial promise'". Therefore, the work of Cao and Gonska is very important. It confirms earlier reports on sustained ventricular tachycardia, and proves not only that it is possible to locali...

A sense and response system senses important changes in the environment and responds to the change. Examples of sense and response systems that deal with securing critical infrastructure are applications that sense and respond to natural and man-made disasters such as earthquakes, tsunamis, radiation hazards, fires, and terrorist attacks. Pervasive sense and response systems are systems in whic...

Optical and electron-energy-loss spectroscopies are well established methods of probing the electronic structure of materials. Comparison of experimental spectroscopic results with theory is complicated by the fact that the experiments extract information about the interband transition strength of electrons, whereas theoretical calculations provide information about individual valence and condu...

We show that the onset of laser multiple filamentation can be described as a critical phenomenon that we characterize both experimentally and numerically by measuring a set of seven critical exponents. This phase transition deviates from any existing universality class and offers a unique perspective of conducting two-dimensional experiments of statistical physics at a human scale.

Computationally hard instances of combinatorial problems arise at a certain critical ratio of constraints to variables. At the critical ratio, problem distributions undergo dramatic changes. I will discuss how an analogous phenomenon occurs in phase transitions studied in physics, and how experiments with critically constrained problems have led to surprising new insights into average-case comp...

2014 The negative resistance phenomenon in the unijunction transistor is interpreted as a phase transition, for which the critical exponents 03B2, 03B3’ and 03B4 are measured. Far from the critical point, these exponents have classical values : 03B2 = 1/2, 03B3’ = 1, 03B4 = 3. Close to the critical point, 03B2 and 03B3’ decrease to 0.2 and 0.2 respectively. J. I’hy,viquo LETTRES 41 (t980) L-87 ...

Extreme weather often contributes to crown fires, where the fire spreads from one tree crown to the next as a series of piloted ignitions. An important aspect in predicting crown fires is understanding the ignition of fuel particles. The ignition criterion considered in this work is the critical mass flux criterion – that a sufficient amount of pyrolysis gases must be generated for a diffusion ...