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Master Equation Approach to Gypsum Needle Crystallization

Abstract : We write and solve a master equation which governs the stochastic growth of interacting gypsum needles. Needle blocking by steric hindrance is reproduced in an effective way. The comparison of the results with submicrometric simulations enables us to choose a small number of fitting parameters to optimize the master equation approach. The stochastic description qualitatively predicts the main features of the dynamics, including the transition toward incomplete dissolution of plaster for increasing values of the number of nuclei per plaster grain. The master equation quantitatively reproduces some morphological properties of the final material, such as mean value and standard deviation of the probability distribution of needle length.
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https://hal-unilim.archives-ouvertes.fr/hal-00631547
Contributeur : Claire Douady <>
Soumis le : mercredi 12 octobre 2011 - 16:13:42
Dernière modification le : vendredi 24 mai 2019 - 17:29:39

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Guillaume Dumazer, Agnès Smith, Annie Lemarchand. Master Equation Approach to Gypsum Needle Crystallization. Journal of Physical Chemistry C, American Chemical Society, 2010, 114 (9), pp.3830-3836. ⟨10.1021/jp910775w⟩. ⟨hal-00631547⟩

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