We review key experimental and theoretical results on the Barkhausen effect, focusing on
the statistical analysis of the noise. We discuss the experimental methods and the material …

We show how preferential attachment can emerge in an optimization framework, resolving a
long-standing theoretical controversy. We also show that the preferential attachment model …

Many systems respond to slowly changing external conditions with crackling noise, created
by avalanches or pulses with a broad range of sizes. Examples range from Barkhausen …

Many systems crackle, from earthquakes and financial markets to Barkhausen effect in
ferromagnetic materials. Despite the diversity in essence, the noise emitted in these …

We study the driving-rate and temperature dependence of the power-law exponents that
characterize the avalanche distribution in first-order phase transitions. Measurements of …

We analyze the nonequilibrium athermal random field Ising model (RFIM) at equilateral
cubic lattices of finite size L and show that the entire range of disorder consists of three …

The spontaneous emergence of scale invariance, called self-organized criticality (SOC), is
often attributed to a second-order absorbing-state phase transition (ASPT). Many real-world …

Barkhausen effect in ferromagnetic materials provides an excellent area for investigating
scaling phenomena found in disordered systems exhibiting crackling noise. The critical …

We study distributions of spin avalanches in the three-dimensional nonequilibrium zero
temperature random field Ising model driven by external magnetic field that is increased at …

We study the spatio-temporal correlations in the spin flipping activities of the disordered
systems realized within the frame of the field-driven three-dimensional zero-temperature …