New Cooperative Effects in Ballistic Deposition of Hard Disks

Faraudo, Jordi

doi:10.1103/physrevlett.89.276104

Cited by 6 publications

(5 citation statements)

References 12 publications

(19 reference statements)

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“…where ÿJ ¡ 0, adjacent spins have more often opposite directions-a cluster with ÿJ ¡ 0 and ÿH = 0 is a typical example. This allows us to emphasize that the internal competition leads to di erent cooperative phenomena in cluster packing [3].…”

Section: Typical Clustersmentioning

confidence: 99%

“…This allows us to emphasize that the internal competition leads to different cooperative phenomena in cluster packing. [3] B.…”

Section: A Typical Clustersmentioning

confidence: 99%

“…Furthermore the non-linear processes at work in granular flows and depositions hint toward simulation approaches [2]. Cooperative effects in ballistic deposition of hard disks have been recently mentioned [3].…”

Section: Introductionmentioning

confidence: 99%

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Magnetically controlled ballistic deposition. A model of polydisperse granular packing

Trojan

Ausloos²

2003

Physica A: Statistical Mechanics and its Applications

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The ow and deposition of polydisperse granular materials is simulated through the magnetic di usion limited aggregation (MDLA) model. The random walk undergone by an entity in the MDLA model is modiÿed such that the trajectories are ballistic in nature, leading to a magnetically controlled ballistic deposition (MBD) model. This allows to obtain important ingredients about a di cult problem that of the nonequilibrium segregation of polydisperse sandpiles and heterogeneous adsorption of a binary distribution of particles which can interact with each other and with an external ÿeld. Our detailed results from many simulations of MBD clusters on a two-dimensional triangular lattice above a at surface in a vertical ÿnite size box for binary systems indicates intriguing variations of the density, "magnetization", types of clusters and fractal dimensions. We derive the ÿeld and grain interaction-dependent susceptibility and compressibility. We deduce a completely new phase diagram for binary granular piles and discuss its complexity inherent to di erent grain competition and cluster growth probabilities.

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Section: Typical Clustersmentioning

confidence: 99%

“…This allows us to emphasize that the internal competition leads to different cooperative phenomena in cluster packing. [3] B.…”

Section: A Typical Clustersmentioning

confidence: 99%

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Magnetically controlled ballistic deposition. A model of polydisperse granular packing

Trojan

Ausloos²

2003

Physica A: Statistical Mechanics and its Applications

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“…This situation is likely due to the sedimentation rate of the magnetic particles, which do not remain fully suspended throughout the course of the 3-h incubation. The gravity-driven uptake of the particles, which is described by the ballistic deposition model, − likely accounts for the clusterlike particle adsorption. According to this model, the MPs would have a net gravitational drift toward the substrate surface.…”

Section: Resultsmentioning

confidence: 99%

Giant Magenetoresistive Sensors. 2. Detection of Biorecognition Events at Self-Referencing and Magnetically Tagged Arrays

et al. 2008

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Microfabricated devices formed from alternating layers of magnetic and nonmagnetic materials at combined thicknesses of a few hundred nanometers exhibit a phenomenon known as the giant magnetoresistance effect. Devices based on this effect are known as giant magnetoresistive (GMR) sensors. The resistance of a GMR is dependent on the strength of an external magnetic field, which has resulted in the widespread usage of such platforms in high-speed, high-data density storage drives. The same attributes (i.e., sensitivity, small size, and speed) are also important embodiments of many types of bioanalytical sensors, pointing to an intriguing opportunity via an integration of GMR technology, magnetic labeling strategies, and biorecognition elements (e.g., antibodies). This paper describes the utilization of GMRs for the detection of streptavidin-coated magnetic particles that are selectively captured by biotinylated gold addresses on a 2 × 0.3 cm sample stick. A GMR sensor network reads the addresses on a sample stick in a manner that begins to emulate that of a "card-swipe" system. This study also takes advantage of on-sample magnetic addresses that function as references for internal calibration of the GMR response and as a facile means to account for small variations in the gap between the sample stick and sensor. The magnetic particle surface coverage at the limit of detection was determined to be ∼2%, which corresponds to ∼800 binding events over the 200 × 200 µm capture address. These findings, along with the potential use of streptavidin-coated magnetic particles as a universal label for antigen detection in, for example, heterogeneous assays, are discussed.Several laboratories are exploring the utility of giant magnetoresistors (GMRs) as a new chip-scale readout tool in the bioanalytical sciences. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] Examples include the application of GMRs and magnetic labeling concepts for the detection of DNA hybridization, biotin-avidin coupling, and antibody-antigen binding. We have also been investigating the integration of immunosorbent assays on a GMR platform, 18 as well as the use of GMRs for the detection of magnetic objects in a microfluidics flow stream as a potential basis for a magnetics flow cytometer. 19 These efforts seek to take advantage of the same set of magnetic detection * To whom correspondence should be addressed.

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“…The figures convince us that the density reached by the pile in the presence of relaxation is always higher than in absence of relaxation, at fixed q and βJ values, as expected. The reached density values are not trivial though (compare with [13]). It can be noticed, as expected also that ρ II > ρ III > ρ I whatever the interaction sign.…”

Section: A Densitymentioning

confidence: 96%

Effects of relaxation processes during deposition of anisotropic grains on a flat substrate

Trojan

Ausloos

2005

Physica A: Statistical Mechanics and its Applications

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The ballistic deposition on a one dimensional substrate of grains with one degree of freedom, called spin, is studied with respect to relaxation processes during deposition. The "spin" represents the grain anisotropy, e.g. its longest axis with respect to the vertical. The grains interact through some contact energy (J) and are allowed to flip with a probability q during deposition and relaxation. Different relaxation processes are investigated. The pile structure is investigated, i.e. the density and "magnetisation", as a function of q and J. A percolation transition is found across which the cluster size changes from exponential-like to a power law-like dependence. The differences between "ferromagnetic" and "anti-ferromagnetic"-like contact energies are emphasized as a function of q.

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New Cooperative Effects in Ballistic Deposition of Hard Disks

Cited by 6 publications

References 12 publications

Magnetically controlled ballistic deposition. A model of polydisperse granular packing

Magnetically controlled ballistic deposition. A model of polydisperse granular packing

Giant Magenetoresistive Sensors. 2. Detection of Biorecognition Events at Self-Referencing and Magnetically Tagged Arrays

Effects of relaxation processes during deposition of anisotropic grains on a flat substrate

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