Intrinsic randomness and spontaneous symmetry breaking in explosive systems

Nicolis, Grégoire; Baras, Florence

doi:doi/10.1007/BF01009534

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Intrinsic randomness and spontaneous symmetry breaking in explosive systems

par Nicolis, Grégoire

;Baras, Florence

Référence Journal of Statistical Physics, 48, 5-6, page (1071-1090)
Publication Publié, 1987

Article révisé par les pairs

Résumé :

The effect of fluctuations of either thermodynamic or environmental origin on ignition in explosive systems is analyzed, with special emphasis on thermal explosion. A simple model due to Semenov is first analyzed in the zero-dimensional approximation. It is shown that the ignition times exhibit a wide dispersion, which at the level of the probability distribution of temperature shows up as a transient bimodality. Next, an extension to a spatially distributed system is developed. It is shown that fluctuations induce unexpected symmetry-breaking phenomena, reflected by a considerable dispersion of the position of the first "hot spot" initiated in the system. © 1987 Plenum Publishing Corporation.

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