A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …

With the high-temperature superconductors a qualitatively new regime in the
phenomenology of type-II superconductivity can be accessed. The key elements governing …

The use of fractal concepts in understanding various growth phenomena, such as molecular
beam epitaxy (MBE) or fluid flow in porous media, is increasingly important these days. This …

Self-organized criticality (SOC) maintains that complex behavior can develop spontaneously
in certain multi-body systems whose dynamics vary abruptly. This is a clear and concise …

In the context of measurement-induced entanglement phase transitions, the influence of
quantum noises, which are inherent in real physical systems, is of great importance and …

Kinetic interfaces form the basis of a fascinating, interdisciplinary branch of statistical
mechanics. Diverse stochastic growth processes can be unified via an intriguing nonlinear …

In this chapter we will apply the general theory developed in Chapter 2 to solve various
stochastic partial differential equations (SPDEs). In fact, as pointed out in Chapter 1, our …

This review describes recent progress in the understanding of the emergence of scale
invariance in far-from-equilibrium growth. The first section is devoted to 'solvable'needle …

Intended for graduate students and researchers in physics, chemistry, biology, and applied
mathematics, this book provides an up-to-date introduction to current research in fluctuations …

Continuum equations appropriate to describe crystal growth from atom beams are derived in
various cases. When desorption is important, the growth is described on very long …