Fluctuations in a diffusive medium with gain

Abstract

We present a stochastic model for amplifying, diffusive media like, for instance, random lasers. Starting from a simple random-walk model, we derive a stochastic partial differential equation for the energy field with contains a multiplicative random-advection term yielding intermittency and power-law distributions of the field itself. Dimensional analysis indicate that such features are more likely to be observed for small enough samples and in lower spatial dimensions.

References in corpus (4)

• Statistical regimes of random laser fluctuations
• Statistical studies of random lasing modes and amplified spontaneous emission spikes in weakly scattering systems
• Scaling, renormalization and statistical conservation laws in the Kraichnan model of turbulent advection
• Statistical properties of one-dimensional random lasers

Cited by in corpus (8)

• Experimental and theoretical investigation of statistical regimes in random laser emission
• Complex active optical networks as a new laser concept
• Fluctuations and Correlations of Emission from Random Lasers
• Statistical outliers in random laser emission
• A Self-Consistent Quantum Field Theory for Random Lasing
• Superdiffusive random laser
• Chaotic fluctuations in graphs with amplification
• Lattice models of random advection and diffusion and their statistics