Eden growth model for aggregation of charged particles

Ivanenko, Ya. V.; Lebovka, Nikolaï; Vygornitskii, Nikolai V.

doi:10.1007/s100510050958

Cited by 17 publications

(16 citation statements)

References 17 publications

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“…Ivanenko (Ivanenko, Lebovka et al 1999) found that reaction limited agglomeration occurs between particles and clusters of the same charge. Since charged particles repel each other, only particles colliding with adequate energy to overcome the electrostatic barrier agglomerate.…”

Section: Large Particle Generationmentioning

confidence: 99%

Nanoparticle production by UV irradiation of combustion generated soot particles

et al. 2004

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Laser ablation of surfaces normally produce high temperature plasmas that are difficult to control. By irradiating small particles in the gas phase, we can better control the size and concentration of the resulting particles when different materials are photofragmented. Here, we irradiate soot with 193 nm light from an ArF excimer laser. Irradiating the original agglomerated particles at fluences ranging from 0.07 to 0.26 J/cm 2 with repetition rates of 20 and 100 Hz produces a large number of small, unagglomerated particles, and a smaller number of spherical agglomerated particles. Mean particle diameters from 20 to 50 nm are produced from soot originally having a mean electric mobility diameter of 265nm. We use a non-dimensional parameter, called the photon/atom ratio (PAR), to aid in understanding the photofragmentation process. This parameter is the ratio of the number of photons striking the soot particles to the number of the carbon atoms contained in the soot particles, and is a better metric than the laser fluence for analyzing laser-particle interactions. These results suggest that UV photofragmentation can be effective in controlling particle size and morphology, and can be a useful diagnostic for studying elements of the laser ablation process.2

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Section: Large Particle Generationmentioning

confidence: 99%

Nanoparticle production by UV irradiation of combustion generated soot particles

et al. 2004

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“…In view of the encountered analogies between the MEM and the Ising model, it is natural to test the validity of equations (14)(15)(16)(17) for the case of the MEM in (2 + 1)-dimensions. It should be noted that as in the case of equilibrium systems, in the present case various "effective" L-dependent critical temperatures can also be defined.…”

Section: Order-disorder Phase Transition In the (2+1)-dimensionalmentioning

confidence: 99%

Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model

Candia

Albano

2001

Phys. Rev. E

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The Magnetic Eden Model (MEM) [N. Vandewalle et al., Phys. Rev. E. 50, R635 (1994)] with ferromagnetic interactions between nearest-neighbor spins is studied in (d + 1)−dimensional rectangular geometries for d = 1, 2. In the MEM, magnetic clusters are grown by adding spins at the boundaries of the clusters. The orientation of the added spins depends on both the energetic interaction with already deposited spins and the temperature, through a Boltzmann factor. A numerical Monte Carlo investigation of the MEM has been performed and the results of the simulations have been analyzed using finite-size scaling arguments. As in the case of the Ising model, the MEM in d = 1 is non-critical (only exhibits an ordered phase at T = 0). In d = 2 the MEM exhibits an order-disorder transition of second-order at a finite temperature. Such transition has been characterized in detail and the relevant critical exponents have been determined. These exponents are in agreement (within error bars) with those of the Ising model in 2 dimensions. Further similarities between both models have been found by evaluating the probability distribution of the order parameter, the magnetization and the susceptibility. Results obtained by means of extensive computer simulations allow us to put forward a conjecture which establishes a nontrivial correspondence between the MEM for the irreversible growth of spins and the equilibrium Ising model. This conjecture is certainly a theoretical challenge and its confirmation will contribute to the development of a framework for the study of irreversible growth processes.

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“…Hence, all cell activities are directed towards finding an available site with sufficient nutrient supply for the adhesion. Cell deposition onto the surface occurs by the mechanism similar to that of a diffusion-limited aggregation [10] process. Characteristic time of cell deposition is significantly shorter than the characteristic reproduction time of the bacteria.…”

Section: Model Of Biofilm Development In Batch Reactormentioning

confidence: 98%

Linearized kinetic model of Listeria monocytogenes biofilm growth

Takhistov

George

2004

Bioprocess Biosyst Eng

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In this study the dynamics of biofilm formation on aluminum has been investigated. The process of cell growth has been observed using fluorescence microscopy. It has been confirmed that the process of biofilm formation can be represented as a sum of two separate processes: cell adhesion and colony proliferation. The derived set of equations describes kinetics of surface population growth and characteristic times for adsorption and combined growth processes, including characteristic time for the nutrient supply depletion. All equations contain variables based on the fundamental characteristics of bacterial population and can be easily determined from the experimental data or estimated theoretically. The developed theoretical model allows obtaining realistic values for population growth time and characteristic time for nutrient limitation occurrence during the biofilm development. Resulting equations qualitatively describe the biofilm formation process, and allow predicting microbial kinetics in the batch reactor system and determining critical values of the process parameters.

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Eden growth model for aggregation of charged particles

Cited by 17 publications

References 17 publications

Nanoparticle production by UV irradiation of combustion generated soot particles

Nanoparticle production by UV irradiation of combustion generated soot particles

Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model

Linearized kinetic model of Listeria monocytogenes biofilm growth

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