Nonaqueous phase liquid (NAPL) contaminants that are chemical mixtures often contain compounds that are solids in their pure states. In the environment, weathering processes cause shifts in multicomponent NAPL composition, thereby enriching the NAPL in the less soluble compounds which may result in their eventual solidification. In this paper, we review the thermodynamic theory governing solid–...

Sampling from the Gibbs distribution is a well studied problem in computer science as well as in statistical physics. In this work we focus on the k-colouring model and the hard-core model with fugacity λ when the underlying graph is an instance of Erdős-Rényi random graph G(n, p), where p = d/n and d is fixed. We use the Markov Chain Monte Carlo method for sampling from the aforementioned dist...

We introduce a two-dimensional lattice model for the description of knotted polymer rings. A polymer configuration is modeled by a closed polygon drawn on the square diagonal lattice, with possible crossings describing pairs of strands of polymer passing on top of each other. Each polygon configuration can be viewed as the two-dimensional projection of a particular knot. We study numerically th...

Subduction zone or arc magmas are known to display a characteristic depletion of High Field Strength Elements (HFSE) relative to other similarly incompatible elements, which can be attributed to the presence of the accessory mineral rutile (TiO2) in the residual slab. Here we show that the partitioning behavior of vanadium between rutile and silicate melt varies from incompatible (∼0.1) to comp...

Over the years, environmental degradation of ecological resources from crude oil pollution and its human health impacts is receiving more global attention. The utilization models capable predicting fate, transport, toxicity chemicals in spilt can provide essential knowledge required to deal with complexity associated fate volatile petroleum environment. This paper explores toxic organics an spi...