Fractal magmatic systems

Studies of Magmatic Systems

Magmatic ”Quantum-Like” Systems

Quantum computation has suggested, among others, the consideration of ”non-quantum” systems which in certain respects may behave ”quantum-like”. Here, what algebraically appears to be the most general possible known setup, namely, of magmas is used in order to construct ”quantum-like” systems. The resulting magmatic composition of systems has as a well known particular case the tensor products.

High-Volume Magmatic Events in Subduction Systems

Subduction-related magmatic arcs represent immense accumulations of intermediate, calc-alkaline igneous rocks and are considered the main factories of continental crust on Earth. Estimating the pace at which these giant volumes of magmatic rock were added to the crust and the mechanisms responsible for magmatic addition are fundamental issues for the disciplines of igneous petrology and contine...

Magmatic Densities Control Erupted Volumes in Icelandic Volcanic Systems

Magmatic density and viscosity exert fundamental controls on the eruptibility of magmas. In this study, we investigate the extent to which magmatic physical properties control the eruptibility of magmas from Iceland’s Northern Volcanic Zone (NVZ). By studying subaerial flows of known age and volume, we are able to directly relate erupted volumes to magmatic physical properties, a task that has ...

Numeration Systems and Fractal Sequences

Let N denote the set of positive integers. Every sequence B = (b0, b1, . . .) of numbers in N satisfying (1) 1 = b0 < b1 < . . . is a basis for N, as each n in N has a B-representation (2) n = c0b0 + c1b1 + . . .+ ckbk, where bk ≤ n < bk+1 and the coefficients ci are given by the division algorithm: (3) n = ckbk + rk, ck = [n/bk], 0 ≤ rk < bk and (4) ri = ci−1bi−1 + ri−1, ci−1 = [ri/bi−1], 0 ≤ ...