A monte carlo method for approximating critical cluster size in the nucleation of model systems

1982 ◽  
Vol 28 (3) ◽  
pp. 487-495 ◽  
Author(s):  
Barbara N. Hale ◽  
Richard C. Ward
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Cluster Size ◽  
Model Systems ◽  
Critical Cluster ◽  
Critical Cluster Size

A study of the critical cluster size for water monolayer clusters on a model AgI basal substratea)

1983 ◽  
Vol 78 (1) ◽  
pp. 420-423 ◽  
Author(s):  
Richard C. Ward ◽  
Barbara N. Hale ◽  
Sergio Terrazas
Keyword(s):  
Cluster Size ◽  
Critical Cluster ◽  
Critical Cluster Size

scholarly journals Performance of diethylene glycol-based particle counters in the sub-3 nm size range

2013 ◽  
Vol 6 (7) ◽  
pp. 1793-1804 ◽  
Author(s):  
D. Wimmer ◽  
K. Lehtipalo ◽  
A. Franchin ◽  
J. Kangasluoma ◽  
F. Kreissl ◽  
...  
Keyword(s):  
High Resolution ◽  
Laminar Flow ◽  
Nucleation Rate ◽  
Diethylene Glycol ◽  
Cluster Size ◽  
Detection Efficiency ◽  
Working Fluid ◽  
Critical Cluster ◽  
Mixing Ratios ◽  
Critical Cluster Size

Abstract. When studying new particle formation, the uncertainty in determining the "true" nucleation rate is considerably reduced when using condensation particle counters (CPCs) capable of measuring concentrations of aerosol particles at sizes close to or even at the critical cluster size (1–2 nm). Recently, CPCs able to reliably detect particles below 2 nm in size and even close to 1 nm became available. Using these instruments, the corrections needed for calculating nucleation rates are substantially reduced compared to scaling the observed formation rate to the nucleation rate at the critical cluster size. However, this improved instrumentation requires a careful characterization of their cut-off size and the shape of the detection efficiency curve because relatively small shifts in the cut-off size can translate into larger relative errors when measuring particles close to the cut-off size. Here we describe the development of two continuous-flow CPCs using diethylene glycol (DEG) as the working fluid. The design is based on two TSI 3776 counters. Several sets of measurements to characterize their performance at different temperature settings were carried out. Furthermore, two mixing-type particle size magnifiers (PSM) A09 from Airmodus were characterized in parallel. One PSM was operated at the highest mixing ratio (1 L min−1 saturator flow), and the other was operated in a scanning mode, where the mixing ratios are changed periodically, resulting in a range of cut-off sizes. The mixing ratios are determined by varying the saturator flow, where the aerosol flow stays constant at 2.5 L min−1. Different test aerosols were generated using a nano-differential mobility analyser (nano-DMA) or a high-resolution DMA, to obtain detection efficiency curves for all four CPCs. One calibration setup included a high-resolution mass spectrometer (APi-TOF) for the determination of the chemical composition of the generated clusters. The lowest cut-off sizes were achieved with negatively charged ammonium sulfate clusters, resulting in cut-offs of 1.4 nm for the laminar flow CPCs and 1.2 and 1.1 nm for the PSMs. A comparison of one of the laminar-flow CPCs and one of the PSMs measuring ambient and laboratory air showed good agreement between the instruments.

A new Monte Carlo method for percolation problems on a lattice

1963 ◽  
Vol 59 (2) ◽  
pp. 397-410 ◽  
Author(s):  
P. Dean
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Cluster Size ◽  
Monte Carlo Technique ◽  
Two Dimensional ◽  
Regular Lattice

AbstractA new and general Monte Carlo technique is described for solving some well-known percolation and cluster-size problems on regular lattice networks. The method has been applied to ten two-dimensional structures.

THE INFLUENCE OF A CRITICAL SIZE ON THE SCALING BEHAVIOR OF CLUSTERS COALESCENCE

1999 ◽  
Vol 13 (18) ◽  
pp. 2397-2404 ◽  
Author(s):  
GUOCE ZHUANG ◽  
XIAOBIN ZHU ◽  
WEI WANG
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Cluster Size ◽  
Critical Size ◽  
Simulation Method ◽  
Monte Carlo Simulation Method ◽  
Critical Cluster ◽  
Cluster Aggregation ◽  
Long Time ◽  
Average Size

By introducing a critical cluster size N c , the irreversible and reversible cluster–cluster aggregation are studied with Monte Carlo simulation method. In a long time limit the average size of cluster <S>∞ reaches its stationary value which depends on the critical size N c and the breakup constant k. Our results indicate that in the presence of critical size the critical exponent y, which is defined as <S(k,∞)>~k-y, increases as the critical size increases and is lower than the value of (α+ξ+2)-1, where the exponents α and ξ associate with the detachment and attachment of clusters.

Critical cluster size cannot in practice be determined by slope analysis in atmospherically relevant applications

2014 ◽  
Vol 77 ◽  
pp. 127-144 ◽  
Author(s):  
Oona Kupiainen-Määttä ◽  
Tinja Olenius ◽  
Hannele Korhonen ◽  
Jussi Malila ◽  
Miikka Dal Maso ◽  
...  
Keyword(s):  
Cluster Size ◽  
Critical Cluster ◽  
Slope Analysis ◽  
Critical Cluster Size ◽  
Atmospherically Relevant
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