2001
DOI: 10.1051/0004-6361:20010961
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A stochastic approach to grain surface chemical kinetics

Abstract: Abstract. A stochastic model of grain surface chemistry, based on a master equation description of the probability distributions of reactive species on grains, is developed. For an important range of conditions, rates of molecule formation are limited by low accretion rates, so that the probability that a grain contains more than one reactive atom or molecule is small. We derive simple approximate expressions for these circumstances, and explore their validity through comparison with numerical solutions of the… Show more

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Cited by 99 publications
(150 citation statements)
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“…Caselli et al (1998a) took into account the discrete nature of the individual composition of grain mantles by modifiying the reaction rate coefficients, while Garrod et al (2008) went further by modifying the functional form of the reaction rates. Biham et al (2001) and Green et al (2001) introduced a stochastic method based on the resolution of the master equations (ME), in which the system solves the time derivatives of the probability of each discrete mantle composition. In spite of its good accuracy for grain surfaces, this method can only be used for small chemical networks since the number of equations grows exponentially with the number of species.…”
Section: The Computational Methodsmentioning
confidence: 99%
“…Caselli et al (1998a) took into account the discrete nature of the individual composition of grain mantles by modifiying the reaction rate coefficients, while Garrod et al (2008) went further by modifying the functional form of the reaction rates. Biham et al (2001) and Green et al (2001) introduced a stochastic method based on the resolution of the master equations (ME), in which the system solves the time derivatives of the probability of each discrete mantle composition. In spite of its good accuracy for grain surfaces, this method can only be used for small chemical networks since the number of equations grows exponentially with the number of species.…”
Section: The Computational Methodsmentioning
confidence: 99%
“…In this case, surface chemistry cannot be reliably described by the standard rate equation method, which tends to overestimate the rates. Other approaches like Monte Carlo techniques (e.g., Vasyunin et al 2009), master equations (e.g., Green et al 2001), and modified rate equations (e.g., Caselli et al 1998;Garrod et al 2009) should then be utilized. As shown by Vasyunin et al (2009), this only happens for rather dilute, warm gas and for very small grains and when quantum tunneling of hydrogen is allowed.…”
Section: Surface Reactionsmentioning
confidence: 99%
“…Similarly, the survivability of microhaloes in the tidal field of the parent galaxy is still poorly understood. On the one hand, fly-by encounters with individual stars (Green & Goodwin 2007) and the tidal field of the Milky Way disc (D'Onghia et al 2010;Errani et al 2017) may wipe out a large fraction of the subhalo population with small orbital pericentres. On the other hand, the steep density profile of microhaloes (Anderhalden & Diemand 2013;Angulo et al 2016) greatly increases their resilience to tidal mass stripping (Goerdt et al 2007;Peñarrubia et al 2010).…”
Section: Introductionmentioning
confidence: 99%