{'fraction_non_alphanumeric': 0.03108348134991119, 'fraction_numerical': 0.003552397868561279, 'mean_word_length': 5.95679012345679, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Complex behavior in condensed matter: Morphological ordering in dissipative carrier systems

This article studies the dissipative thermodynamic regime of an electron system in bulk matter under the action of an external source of energy, which generates electron-hole pairs with a nonequilibrium distribution in energy space. It is shown that with increasing values of the source power (furthering the distance from equilibrium), and strictly in the case of a p-doped material, the carrier system displays complex behavior characterized by undergoing a succession of transitions between synergetically self-organized dissipative structures. The sequence goes from the homogeneous steady state (or stochastic thermal chaos), to sinusoidal spatial deviations (morphological ordering), to intricate ordered states (subharmonic bifurcations), to deterministic turbulent-like chaos (large amount of nonlinear periodic spatial organization of the Landau-Prigogine's type). The phenomenon may arise, for example, in semiconductor systems, molecular polymers, and protein molecular chains in biosystems. © 1997 John Wiley & Sons, Inc.