We present a numerical study of autocorrelation functions of a 3D fully frustrated Ising model (FFIM) simulated by spin-flip Monte-Carlo dynamics finding simple exponential decay for all the temperature above the critical temperature Tc for the autocorrelation of squared magnetization and...

We consider creep processes in plastically deformed materials as a critical process such as proposed by Zaitsev (Physica A 189 (1992) 411). We give arguments that the low-temperature creep rate necessarily has two different modes. During the first (fast) stage of stress relaxation, dislocations...

We consider random walks Xn in Z+, obeying a detailed balance condition, with a weak drift towards the origin when Xn↗∞. We reconsider the equivalence in law between a random walk bridge and a 1+1 dimensional Solid-On-Solid bridge with a corresponding Hamiltonian. Phase diagrams are...

We discuss the influence of spatially correlated noise on the wandering exponent of the crack-front line during slow in-plane crack propagation. For a uniform noise, the wandering exponent in the stastically stationary regime is .35±0.02, while the dynamic exponent is z=0.75±0.02. For...

Healthy sleep can be characterized by several stages: deep sleep, light sleep, and REM sleep. Here we show that these sleep stages lead to different autonomic regulation of breathing. Using the detrended fluctuation analysis up to the fourth order we find that breath-to-breath intervals and...

The anomalous dynamic scaling behavior of the d+1 dimensional non-local growth equations is investigated based on the scaling approach. The growth equations studied include the non-local Kardar–Parisi–Zhang (NKPZ), non-local Sun-Guo-Grant (NSGG), and non-local Lai-Das Sarma-Villain (NLDV)...

The effects of temporally correlated noise on the conservation growth are studied via the Flory-type approach introduced by Hentschel and Family (Phys. Rev. Lett. 66, (1991) 1982). This phenomenological equation contains the Kardar–Parisi–Zhang, Sun–Guo–Grant, and molecular-beam epitaxy...

The scaling behavior of nonlocal surface growth equations are analyzed using a Flory-type approach introduced by Hentschel and Family [Phys. Rev. Lett. 66 (1991) 1982]. The growth equations studied include the nonlocal Kardar–Parisi–Zhang, nonlocal Sun–Guo–Grant, and nonlocal Lai–Das...

A new method, based on scaling analysis, is used to calculate fractal dimension and local roughness exponents to characterize in vivo 3-D tumor growth in the brain. Image acquisition was made according to the standard protocol used for brain radiotherapy and radiosurgery, i.e., axial, coronal...