A numerical approach to the problem of sediment volume

Vold, Marjorie J.

doi:10.1016/0095-8522(59)90041-8

Cited by 289 publications

(135 citation statements)

References 5 publications

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“…For the formation of microscopic dust aggregates, we initiated a process referred to as random ballistic deposition (RBD) [3]. A powder sample is deagglomerated into its monomer grains by the use of a cogwheel [4] and accelerated into rarefied air with a typical pressure of 100 Pa where they couple to a laminar gas flow.…”

Section: Methodsmentioning

confidence: 99%

A new method for the analysis of compaction processes in high-porosity agglomerates

et al. 2007

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Mechanical properties of high-porous microscopic agglomerates have been investigated. For this purpose we installed an atomic force microscope (AFM) cantilever in a scanning electron microscope (SEM) using a nanomanipulator. The nanomanipulator is piezoelectric controlled with increments of 5 nm in the rotational and 0.5 nm in the translational direction. Thus, this tool allows the precise positioning and movement of an AFM cantilever under SEM observation. Depending on the spring constant of the cantilever and the step size of the motion-both quantities determining the sensitivity of the instrument-different aspects of the deformation of dust-aggregate structures, e.g., the behaviour of single particle chains, can be analysed.

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Section: Methodsmentioning

confidence: 99%

A new method for the analysis of compaction processes in high-porosity agglomerates

et al. 2007

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“…[5,41,42]. The model we are considering here is similar to many growth models and particularly to the Vold model [43,44]. As the local interactions in our fiber deposition model are replaced with F (or T f ) we are ignoring many effects present in real sedimentation processes.…”

Section: D Fiber Deposition Modelmentioning

confidence: 99%

Fiber deposition models in two and three spatial dimensions

Provatas

Haataja

Asikainen

et al. 2000

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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We review growth, percolation, and spatial correlations in deposition models of disordered fiber networks. We first consider 2D models with effective interactions between the deposited particles represented by simple parametrization. In particular, we discuss the case of single cluster growth, growth of uniformly random networks, and flocculated networks with nontrivial spatial correlations. We also consider a 3D deposition model of flexible fibers that describes the growth of multilayer structures of disordered networks. We discuss the statistical properties of such structures, transport of fluid through the network, and the asymptotics of growth in the limit of infinite thickness.

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“…Some examples are the random deposition model with sur-face relaxation of Family [10], the restricted solid-on-solid (RSOS) model of Kim and Kosterlitz [11] and the ballistic deposition (BD) model [12,13]. These are called limitedmobility models because the diffusion of a deposited atom, whenever possible, takes place in a restricted time interval before the deposition of another atom.…”

Section: A Interface Growthmentioning

confidence: 99%

“…In d = 2, which is the more relevant dimension for real applications, numerical works and renormalization studies give α G ∼ 0.4 and β G ∼ 0.25 [2]. Several discrete models belong to the KPZ class, such as BD [12], the RSOS model [11] and a recently introduced etching model of Mello et al [20].…”

Section: A Interface Growthmentioning

confidence: 99%

Depinning transitions in interface growth models

Reis

2003

Braz. J. Phys.

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Pinning-depinning transitions are roughening transitions separating a growing phase and pinned (or blocked) one, and are frequently connected to transitions into absorbing states. In this review, we discuss lattice growth models exhibiting this type of dynamic transition. Driven growth in media with impurities, the competition between deposition and desorption and deposition of poisoning species are some of the physical mechanisms responsible for the transitions, leading to different types of stochastic growth rules. The growth models are classified according to the those mechanisms and possible applications are shown, which include suggestions of experimental realizations of directed percolation transitions. I IntroductionThe study of surface and interface growth processes attracts much interest from the technological point of view mainly because it helps to understand the growth mechanisms of nanostructures and, consequently, their physical properties [1]. From the theoretical point of view, they motivated significant advances in non-equilibrium Statistical Mechanics and related fields [2,3]. Theoretical modeling is usually based on stochastic differential equations or on discrete atomistic models. In various models, changing one parameter leads to a roughening transition between a rough and a smooth phase. Two well known examples are the transition in the Kardar-Parisi-Zhang equation in dimensions d ≥ 3, separating regimes with linear (smooth) and nonlinear growth, and temperature-induced roughening transitions in equilibrium conditions [2]. On the other hand, in the so-called depinning transitions, the interface propagates only in the rough phase, being pinned in the smooth phase. Several mechanisms may be responsible for this type of transition, such as the presence of impurities in the growth media, competition between deposition and evaporation or formation of poisoning species at the growing surface. One of the interesting features of depinning transitions is that they frequently can be mapped onto transitions into absorbing states, whose most prominent example is directed percolation (DP). Different connections of depinning transitions to DP are found in discrete and continuous growth models, as well as connections with other classes of transitions to absorbing states [4] and, eventually, with statistical equilibrium transitions. Besides the fundamental interest of these systems, the large variety of interface growth phenomena observed in nature suggests them as strong candidates to experimental realizations of models of dynamic transitions, such as DP (see e. g. Ref.[5]).The aim of the present work is to review the basic features of lattice growth models exhibiting depinning transitions. Before introducing these systems, we will briefly summarize the theory and phenomenology concerning interface growth and phase transitions into absorbing states (Sec. II). Then we will discuss the problem of growing interfaces in disordered media with quenched disorder, in which transitions in the DP class or in the cl...

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A numerical approach to the problem of sediment volume

Cited by 289 publications

References 5 publications

A new method for the analysis of compaction processes in high-porosity agglomerates

A new method for the analysis of compaction processes in high-porosity agglomerates

Fiber deposition models in two and three spatial dimensions

Depinning transitions in interface growth models

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