Percolation line of self-bound clusters in supercritical fluids

Random walks on supercritical percolation clusters

We obtain Gaussian upper and lower bounds on the transition density qt(x, y) of the continuous time simple random walk on a supercritical percolation cluster C∞ in the Euclidean lattice. The bounds, analogous to Aronsen’s bounds for uniformly elliptic divergence form diffusions, hold with constants ci depending only on p (the percolation probability) and d. The irregular nature of the medium me...

Scaling limit of simple random walk on supercritical percolation clusters

Frenkel line and solubility maximum in supercritical fluids.

A new dynamic line, the Frenkel line, has recently been proposed to separate the supercritical state into rigid-liquid and nonrigid gaslike fluid. The location of the Frenkel line on the phase diagram is unknown for real fluids. Here we map the Frenkel line for three important systems: CO(2), H(2)O, and CH(4). This provides an important demarcation on the phase diagram of these systems, the dem...

Electrochemistry in supercritical fluids

A wide range of supercritical fluids (SCFs) have been studied as solvents for electrochemistry with carbon dioxide and hydrofluorocarbons (HFCs) being the most extensively studied. Recent advances have shown that it is possible to get well-resolved voltammetry in SCFs by suitable choice of the conditions and the electrolyte. In this review, we discuss the voltammetry obtained in these systems, ...

Application of Supercritical Fluids

Many advantages of supercritical fluids come from their interesting or unusual properties which liquid solvents and gas carriers do not possess. Such properties and possible applications of supercritical fluids are reviewed. As these fluids never condense at above their critical temperatures, supercritical drying is useful to prepare dry-gel. The solubility and other important parameters as a s...