2015
DOI: 10.1021/acs.jpcb.5b08320
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Simple Statistical Model for Branched Aggregates: Application to Cooee Bitumen

Abstract: We propose a statistical model that can reproduce the size distribution of any branched aggregate, including amylopectin, dendrimers, molecular clusters of monoalcohols, and asphaltene nanoaggregates. It is based on the conditional probability for one molecule to form a new bond with a molecule, given that it already has bonds with others. The model is applied here to asphaltene nanoaggregates observed in molecular dynamics simulations of Cooee bitumen. The variation with temperature of the probabilities deduc… Show more

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Cited by 4 publications
(11 citation statements)
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“…52 Lemarchand and Hansen employed molecular simulation and statistical mechanical and statistical models to study the aggregation within the "COOEE bitumen" system. 55, 56 A model based on the conditional probabilities for bond formation was shown to satisfactorily reproduce the size distribution of branched nanoaggregates observed in simulation, 55 and a master equation based on simple birth and death processes was found to provide a good description of the stability of linear asphaltene nanoaggregates and recapitulate the exponential nanoaggregate size distribution predicted by simulation. 56 A limited number of computational studies have investigated the molecular details of the assembly behavior of archipelago asphaltenes employing all-atom molecular models.…”
Section: Introductionmentioning
confidence: 78%
See 1 more Smart Citation
“…52 Lemarchand and Hansen employed molecular simulation and statistical mechanical and statistical models to study the aggregation within the "COOEE bitumen" system. 55, 56 A model based on the conditional probabilities for bond formation was shown to satisfactorily reproduce the size distribution of branched nanoaggregates observed in simulation, 55 and a master equation based on simple birth and death processes was found to provide a good description of the stability of linear asphaltene nanoaggregates and recapitulate the exponential nanoaggregate size distribution predicted by simulation. 56 A limited number of computational studies have investigated the molecular details of the assembly behavior of archipelago asphaltenes employing all-atom molecular models.…”
Section: Introductionmentioning
confidence: 78%
“…We also mapped out the temperature–pressure–toluene concentration phase diagram for assembly, employed nonlinear machine learning techniques to resolve pseudo-one-dimensional (1D) free energy landscapes, and showed toluene dispersant concentration to act as an effective temperature . Lemarchand and Hansen employed molecular simulation and statistical mechanical and statistical models to study the aggregation within the “COOEE bitumen” system. , A model based on the conditional probabilities for bond formation was shown to satisfactorily reproduce the size distribution of branched nanoaggregates observed in simulation, and a master equation based on simple birth and death processes was found to provide a good description of the stability of linear asphaltene nanoaggregates and recapitulate the exponential nanoaggregate size distribution predicted by simulation …”
Section: Introductionmentioning
confidence: 99%
“…Given the difficulties in experimentally characterizing asphaltenes, molecular simulations provide a powerful tool for studying their behavior. In particular, all-atom (AA) molecular dynamics simulations have examined the nanoaggregation of model asphaltenes in various solvents, at interfaces, and under various thermodynamic conditions. ,, Unfortunately, the computational expense of atomically detailed simulations necessarily limits the duration, size, and scope of these studies, although recent computing advances with graphics processing units have somewhat extended these limits . Moreover, in the dilute conditions relevant for nanoaggregation, the vast majority of computational effort is expended in the simulating solvent.…”
Section: Introductionmentioning
confidence: 99%
“…The definition of the nanoaggregates in the case of Cooee bitumen is detailed in Refs. 27,28 It sums up to the following rule: two aromatic molecules are nearest neighbors in the same nanoaggregate if they are well aligned and close enough. More specifically, this rule is based on three thresholds.…”
Section: Bitumen Cohesion and Structurementioning
confidence: 99%
“…This fact has been reported and explained. 28 It is due to two competing effects when temperature increases: the first effect is the increase of thermal noise which tends to detach molecules from the nanoaggregates and decrease the nanoaggregate size; the second effect is the relative increase of the number of asphaltene molecules inside the nanoaggregates compared to other molecule types, which tends to increase the degree of branching of the aggregates and also their size. The non-monotonic behavior of the cohesive energy ce Ar between aromatic molecules is due to the same cause.…”
Section: Bitumen Cohesion and Structurementioning
confidence: 99%