Annales de l'institut Henri Poincare (B) Probability and Statistics, ISSN 0246-0203, 11/2017, Volume 53, Issue 4, pp. 2279 - 2315

Consider a system of infinitely many Brownian particles on the real line. At any moment, these particles can be ranked from the bottom upward. Each particle...

Asymmetric collisions | Reflected Brownian motion | Stochastic comparison | Weak convergence | Triple collisions | Interacting particle systems | Competing Brownian particles | Stationary distribution | DIFFUSIONS | STATISTICS & PROBABILITY | CHAOS | MOTION | MODELS | PROPAGATION

Asymmetric collisions | Reflected Brownian motion | Stochastic comparison | Weak convergence | Triple collisions | Interacting particle systems | Competing Brownian particles | Stationary distribution | DIFFUSIONS | STATISTICS & PROBABILITY | CHAOS | MOTION | MODELS | PROPAGATION

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 12/2015, Volume 439, pp. 1 - 6

Transport of interacting Brownian particles in a periodic potential is investigated in the presence of an ac force and a dc force. From Brownian dynamic...

Interacting Brownian particles | Absolute negative mobility | CONDUCTANCE | FLASHING RATCHET | TRANSPORT | PHYSICS, MULTIDISCIPLINARY | MOTORS | DRIVEN | THERMAL RATCHETS

Interacting Brownian particles | Absolute negative mobility | CONDUCTANCE | FLASHING RATCHET | TRANSPORT | PHYSICS, MULTIDISCIPLINARY | MOTORS | DRIVEN | THERMAL RATCHETS

Journal Article

Journal of Physics: Condensed Matter, ISSN 0953-8984, 09/2010, Volume 22, Issue 36, pp. 364109 - 364109

Classical dynamic density functional theory (DDFT) has developed into a versatile tool for describing the dynamics of overdamped Brownian particles. The...

FLUIDS | PHYSICS, CONDENSED MATTER | DILUTE POLYDISPERSE SYSTEM | MOTION | KINETIC-THEORY | SPINODAL DECOMPOSITION | INTERACTING SPHERES | DIFFUSION | MOLECULAR DIMENSIONS | DENSITY-FUNCTIONAL THEORY | FLOW | Solvents | Computational fluid dynamics | Condensed matter | Dynamics | Particles (of physics) | Fluid flow | Hydrodynamics | Density

FLUIDS | PHYSICS, CONDENSED MATTER | DILUTE POLYDISPERSE SYSTEM | MOTION | KINETIC-THEORY | SPINODAL DECOMPOSITION | INTERACTING SPHERES | DIFFUSION | MOLECULAR DIMENSIONS | DENSITY-FUNCTIONAL THEORY | FLOW | Solvents | Computational fluid dynamics | Condensed matter | Dynamics | Particles (of physics) | Fluid flow | Hydrodynamics | Density

Journal Article

Journal of the Mathematical Society of Japan, ISSN 0025-5645, 2018, Volume 70, Issue 3, pp. 921 - 952

we prove the convergence of N-particle systems of Brownian particles with logarithmic interaction potentials onto a system described by the...

Airy point processes | The Ginibre point process | Finite-particle approximations | Interacting Brownian motions | Logarithmic potential | And Phrases. random matrix theory | Infinite-dimensional stochastic differential equations | STOCHASTIC DIFFERENTIAL-EQUATIONS | DIMENSIONAL WIENER-PROCESSES | INFINITE | logarithmic potential | RANDOM MATRICES | MATHEMATICS | DETERMINANTAL PROCESSES | random matrix theory | interacting Brownian motions | infinite-dimensional stochastic differential equations | the Ginibre point process | finite-particle approximations

Airy point processes | The Ginibre point process | Finite-particle approximations | Interacting Brownian motions | Logarithmic potential | And Phrases. random matrix theory | Infinite-dimensional stochastic differential equations | STOCHASTIC DIFFERENTIAL-EQUATIONS | DIMENSIONAL WIENER-PROCESSES | INFINITE | logarithmic potential | RANDOM MATRICES | MATHEMATICS | DETERMINANTAL PROCESSES | random matrix theory | interacting Brownian motions | infinite-dimensional stochastic differential equations | the Ginibre point process | finite-particle approximations

Journal Article

Journal of Fluid Mechanics, ISSN 0022-1120, 01/2013, Volume 714, pp. 213 - 237

We investigate the motion of a suspended non-Brownian sphere past a fixed cylindrical or spherical obstacle in the limit of zero Reynolds number for arbitrary...

suspensions | low-Reynolds-number flows | microfluidics | PHYSICS, FLUIDS & PLASMAS | INTERACTING SPHERES | DEEP BED FILTRATION | SURFACE-ROUGHNESS | SHEARED SUSPENSIONS | DETERMINISTIC LATERAL DISPLACEMENT | DILUTE POLYDISPERSE SYSTEM | MECHANICS | FIBROUS MEMBRANES | NEUTRALLY BUOYANT SPHERES | HINDERED TRANSPORT | POROUS-MEDIA | Fluid mechanics | Eulers equations | Lagrange multiplier | Reynolds number

suspensions | low-Reynolds-number flows | microfluidics | PHYSICS, FLUIDS & PLASMAS | INTERACTING SPHERES | DEEP BED FILTRATION | SURFACE-ROUGHNESS | SHEARED SUSPENSIONS | DETERMINISTIC LATERAL DISPLACEMENT | DILUTE POLYDISPERSE SYSTEM | MECHANICS | FIBROUS MEMBRANES | NEUTRALLY BUOYANT SPHERES | HINDERED TRANSPORT | POROUS-MEDIA | Fluid mechanics | Eulers equations | Lagrange multiplier | Reynolds number

Journal Article

Journal of Theoretical Probability, ISSN 0894-9840, 9/2018, Volume 31, Issue 3, pp. 1779 - 1818

Particle approximations for certain nonlinear and nonlocal reaction–diffusion equations are studied using a system of Brownian motions with killing. The system...

93E20 | Nonlinear reaction–diffusion equations | 60F10 | Variational representations | Weakly interacting particle systems | 60B10 | Probability Theory and Stochastic Processes | Mathematics | Statistics, general | Large deviations | Brownian particles with killing | 60K35 | STATISTICS & PROBABILITY | Nonlinear reaction-diffusion equations | REACTION-DIFFUSION MODEL

93E20 | Nonlinear reaction–diffusion equations | 60F10 | Variational representations | Weakly interacting particle systems | 60B10 | Probability Theory and Stochastic Processes | Mathematics | Statistics, general | Large deviations | Brownian particles with killing | 60K35 | STATISTICS & PROBABILITY | Nonlinear reaction-diffusion equations | REACTION-DIFFUSION MODEL

Journal Article

The Annals of Applied Probability, ISSN 1050-5164, 12/2008, Volume 18, Issue 6, pp. 2179 - 2207

We study interacting systems of linear Brownian motions whose drift vector at every time point is determined by the relative ranks of the coordinate processes...

Brownian motion | Approximation | Infinity | Particle interactions | Particle motion | Coordinate systems | Mathematical vectors | Martingales | Perceptron convergence procedure | Atlases | Atlas model | Elastic collision | Interacting diffusions | Harris model | SERIES | QUEUES | APPROXIMATION | STATISTICS & PROBABILITY | NETWORKS | LIMIT | atlas model | MOTION | MODELS | elastic collision | DIFFUSION | TAGGED PARTICLE | PROPAGATION | 60G55 | 60G07

Brownian motion | Approximation | Infinity | Particle interactions | Particle motion | Coordinate systems | Mathematical vectors | Martingales | Perceptron convergence procedure | Atlases | Atlas model | Elastic collision | Interacting diffusions | Harris model | SERIES | QUEUES | APPROXIMATION | STATISTICS & PROBABILITY | NETWORKS | LIMIT | atlas model | MOTION | MODELS | elastic collision | DIFFUSION | TAGGED PARTICLE | PROPAGATION | 60G55 | 60G07

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 05/2011, Volume 390, Issue 9, pp. 1591 - 1601

We consider a charged Brownian gas under the influence of external and non-uniform electric, magnetic and mechanical fields, immersed in a non-uniform bath...

Brownian motion | Kramers equation | Evolution of nonequilibrium systems | Brownian motors | Dissipative dynamics | Smoluchowski equation | Carrier transport | FOKKER-PLANCK EQUATION | THERMOHYDRODYNAMICAL PICTURE | N INTERACTING PARTICLES | PHYSICS, MULTIDISCIPLINARY | NONISOTHERMAL ACTIVATION | STATISTICAL PHYSICS | NONEQUILIBRIUM THERMODYNAMICS | ENTROPY PRODUCTION | ELECTRICAL-CURRENT | MAGNETIC-FIELD | HYDRODYNAMICAL MODEL | Pictures | Semiconductors | Asymptotic properties | Mathematical analysis | Bolts | Entropy | Charged particles | Density | Physics - Statistical Mechanics

Brownian motion | Kramers equation | Evolution of nonequilibrium systems | Brownian motors | Dissipative dynamics | Smoluchowski equation | Carrier transport | FOKKER-PLANCK EQUATION | THERMOHYDRODYNAMICAL PICTURE | N INTERACTING PARTICLES | PHYSICS, MULTIDISCIPLINARY | NONISOTHERMAL ACTIVATION | STATISTICAL PHYSICS | NONEQUILIBRIUM THERMODYNAMICS | ENTROPY PRODUCTION | ELECTRICAL-CURRENT | MAGNETIC-FIELD | HYDRODYNAMICAL MODEL | Pictures | Semiconductors | Asymptotic properties | Mathematical analysis | Bolts | Entropy | Charged particles | Density | Physics - Statistical Mechanics

Journal Article

Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 12/2014, Volume 2014, Issue 12, pp. P12025 - 14

In this work, we study a system of passive Brownian (non-self-propelled) particles in two dimensions, interacting only through a social-like force (velocity...

Brownian motion | interacting agent models | stochastic particle dynamics (theory) | classical phase transitions (theory) | BEHAVIOR | POPULATIONS | MECHANISMS | NONLINEAR OSCILLATORS | MODEL | PHYSICS, MATHEMATICAL | MECHANICS | KURAMOTO | SYSTEMS | Synchronism | Flux | Instability | Joining | Statistical mechanics | Two dimensional | Synchronization | Oscillators | Physics - Statistical Mechanics

Brownian motion | interacting agent models | stochastic particle dynamics (theory) | classical phase transitions (theory) | BEHAVIOR | POPULATIONS | MECHANISMS | NONLINEAR OSCILLATORS | MODEL | PHYSICS, MATHEMATICAL | MECHANICS | KURAMOTO | SYSTEMS | Synchronism | Flux | Instability | Joining | Statistical mechanics | Two dimensional | Synchronization | Oscillators | Physics - Statistical Mechanics

Journal Article

Advances in Mathematics, ISSN 0001-8708, 01/2017, Volume 304, pp. 90 - 130

We study the joint asymptotic behavior of spacings between particles at the edge of multilevel Dyson Brownian motions, when the number of levels tends to...

Beta random matrix models | Minors of random matrices | Interacting particle systems with local interactions | Dyson Brownian motions | Singular stochastic differential equations | UNIVERSALITY | QUEUES | local interactions | Singular stochastic differential | BETA ENSEMBLES | equations | MATHEMATICS | MODELS | LIMIT-THEOREMS | RANDOM-WALKS | FLUCTUATIONS | MATRICES | GROWTH | SPECTRUM | Interacting particle systems with | Information management

Beta random matrix models | Minors of random matrices | Interacting particle systems with local interactions | Dyson Brownian motions | Singular stochastic differential equations | UNIVERSALITY | QUEUES | local interactions | Singular stochastic differential | BETA ENSEMBLES | equations | MATHEMATICS | MODELS | LIMIT-THEOREMS | RANDOM-WALKS | FLUCTUATIONS | MATRICES | GROWTH | SPECTRUM | Interacting particle systems with | Information management

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 05/2014, Volume 89, Issue 5, p. 052145

In the literature, it is pointed out that non-Brownian particles tend to show shear-induced diffusive behavior due to hydrodynamic interactions. Several...

DYNAMIC SIMULATION | CONCENTRATED SUSPENSIONS | STOKESIAN DYNAMICS | PHYSICS, FLUIDS & PLASMAS | INTERACTING PARTICLES | TIME SCALES | SPHERES | TRACER DIFFUSIVITIES | SCALES ANALYSIS | PHYSICS, MATHEMATICAL | DILUTE SUSPENSION | NONCOLLOIDAL SUSPENSIONS

DYNAMIC SIMULATION | CONCENTRATED SUSPENSIONS | STOKESIAN DYNAMICS | PHYSICS, FLUIDS & PLASMAS | INTERACTING PARTICLES | TIME SCALES | SPHERES | TRACER DIFFUSIVITIES | SCALES ANALYSIS | PHYSICS, MATHEMATICAL | DILUTE SUSPENSION | NONCOLLOIDAL SUSPENSIONS

Journal Article

The Annals of Probability, ISSN 0091-1798, 1/2013, Volume 41, Issue 1, pp. 1 - 49

We investigate the construction of diffusions consisting of infinitely numerous Brownian particles moving in ℝ d and interacting via logarithmic functions...

Brownian motion | Sufficient conditions | Quaternions | Particle interactions | Statistical theories | Markov processes | Mathematical functions | Density | Perceptron convergence procedure | Random matrices | Coulomb potentials | Interacting Brownian particles | Ginibre random point field | Dirichlet forms | Dyson's model | Diffusions | Logarithmic potentials | Infinitely many particle systems | WIENER-PROCESSES | random matrices | DIFFUSION-PROCESSES | logarithmic potentials | STATISTICS & PROBABILITY | diffusions | BALLS | infinitely many particle systems | DETERMINANTAL PROCESSES | SYSTEMS | 60J60 | 82C22 | 82B21 | Dyson’s model | 60K35

Brownian motion | Sufficient conditions | Quaternions | Particle interactions | Statistical theories | Markov processes | Mathematical functions | Density | Perceptron convergence procedure | Random matrices | Coulomb potentials | Interacting Brownian particles | Ginibre random point field | Dirichlet forms | Dyson's model | Diffusions | Logarithmic potentials | Infinitely many particle systems | WIENER-PROCESSES | random matrices | DIFFUSION-PROCESSES | logarithmic potentials | STATISTICS & PROBABILITY | diffusions | BALLS | infinitely many particle systems | DETERMINANTAL PROCESSES | SYSTEMS | 60J60 | 82C22 | 82B21 | Dyson’s model | 60K35

Journal Article

Journal of Magnetism and Magnetic Materials, ISSN 0304-8853, 03/2014, Volume 354, pp. 163 - 172

Magnetic nanoparticles for hyperthermic treatment of cancers have gained significant attention in recent years. In magnetic hyperthermia, three independent...

Magnetic hyperthermia | Néel relaxation | Specific absorption rate (SAR) | Collective behavior | Brownian relaxation | Magnetic nanoparticles | IRON-OXIDE NANOPARTICLES | PHYSICS, CONDENSED MATTER | GAMMA-FE2O3 NANOPARTICLES | FIELD | MATERIALS SCIENCE, MULTIDISCIPLINARY | SIZE | RELAXATION | ABSORPTION RATES | CANCER | Neel relaxation | THERAPY | FLUID | INTERACTING PARTICLES | Anisotropy | Agglomeration | Nanoparticles | Heating | Stimulation | Nanostructure | Confusion | Hyperthermia | Crystal structure | Nanocomposites | Nanomaterials

Magnetic hyperthermia | Néel relaxation | Specific absorption rate (SAR) | Collective behavior | Brownian relaxation | Magnetic nanoparticles | IRON-OXIDE NANOPARTICLES | PHYSICS, CONDENSED MATTER | GAMMA-FE2O3 NANOPARTICLES | FIELD | MATERIALS SCIENCE, MULTIDISCIPLINARY | SIZE | RELAXATION | ABSORPTION RATES | CANCER | Neel relaxation | THERAPY | FLUID | INTERACTING PARTICLES | Anisotropy | Agglomeration | Nanoparticles | Heating | Stimulation | Nanostructure | Confusion | Hyperthermia | Crystal structure | Nanocomposites | Nanomaterials

Journal Article

Journal of Heat Transfer, ISSN 0022-1481, 04/2008, Volume 130, Issue 4, pp. 042406 - 042406 (13)

Nanofluids, i.e., liquids containing nanometer sized metallic or nonmetallic solid particles, show an increase in thermal conductivity compared to that of the...

Brownian motion | Nanofluid | Thermal conductivity | SUSPENSIONS | PARTICLES | THERMODIFFUSION | MODEL | ENGINEERING, MECHANICAL | THERMODYNAMICS | nanofluid | ENHANCEMENT | DYNAMICS | DIFFUSION | INTERACTING COLLOIDS | thermal conductivity | EFFECTIVE CHARGES | PHASE-DIAGRAM | Nanoparticles | Thermal properties | Conduction | Heat | Analysis | Research

Brownian motion | Nanofluid | Thermal conductivity | SUSPENSIONS | PARTICLES | THERMODIFFUSION | MODEL | ENGINEERING, MECHANICAL | THERMODYNAMICS | nanofluid | ENHANCEMENT | DYNAMICS | DIFFUSION | INTERACTING COLLOIDS | thermal conductivity | EFFECTIVE CHARGES | PHASE-DIAGRAM | Nanoparticles | Thermal properties | Conduction | Heat | Analysis | Research

Journal Article

LANGMUIR, ISSN 0743-7463, 08/2019, Volume 35, Issue 34, pp. 11175 - 11187

Stability characteristics of colloids in a laminar flow have been studied by solving the Fokker-Plank equation for the pair probability density function. This...

MECHANICAL STABILITY | HYDRODYNAMIC INTERACTION | BROWNIAN DIFFUSION | PARTICLES | MATERIALS SCIENCE, MULTIDISCIPLINARY | HYDRATION FORCES | CHEMISTRY, PHYSICAL | INTERACTING SPHERES | CHEMISTRY, MULTIDISCIPLINARY | MICA SURFACES | GENERALIZED-MODEL | COLLOIDAL DISPERSIONS | DOUBLE-LAYER

MECHANICAL STABILITY | HYDRODYNAMIC INTERACTION | BROWNIAN DIFFUSION | PARTICLES | MATERIALS SCIENCE, MULTIDISCIPLINARY | HYDRATION FORCES | CHEMISTRY, PHYSICAL | INTERACTING SPHERES | CHEMISTRY, MULTIDISCIPLINARY | MICA SURFACES | GENERALIZED-MODEL | COLLOIDAL DISPERSIONS | DOUBLE-LAYER

Journal Article

Annals of Probability, ISSN 0091-1798, 2017, Volume 45, Issue 6, pp. 4529 - 4560

We study the fluctuation of the Atlas model, where a unit drift is assigned to the lowest ranked particle among a semi-infinite (Z(+)-indexed) system of...

Reflected Brownian motion | Stochastic heat equation | Equilibrium fluctuation | Fractional Brownian motion | Interacting particles | SYMMETRIC SIMPLE EXCLUSION | DRIVEN TRACER PARTICLE | DIFFUSIONS | RANKS | EQUATIONS | reflected Brownian motion | STATISTICS & PROBABILITY | fractional Brownian motion | COLLISIONS | BROWNIAN PARTICLE-SYSTEMS | COEFFICIENTS | interacting particles | stochastic heat equation | TAGGED PARTICLE

Reflected Brownian motion | Stochastic heat equation | Equilibrium fluctuation | Fractional Brownian motion | Interacting particles | SYMMETRIC SIMPLE EXCLUSION | DRIVEN TRACER PARTICLE | DIFFUSIONS | RANKS | EQUATIONS | reflected Brownian motion | STATISTICS & PROBABILITY | fractional Brownian motion | COLLISIONS | BROWNIAN PARTICLE-SYSTEMS | COEFFICIENTS | interacting particles | stochastic heat equation | TAGGED PARTICLE

Journal Article

Reports on Progress in Physics, ISSN 0034-4885, 2014, Volume 77, Issue 5, pp. 056602 - 26

Colloid sedimentation has played a seminal role in the development of statistical physics thanks to the celebrated experiments by Perrin, which provided a...

colloids | particulate matter | sedimentation | PHYSICS, MULTIDISCIPLINARY | CHARGED COLLOIDS | PHASE-TRANSITIONS | SEDIMENTATION PROFILES | INTERACTING SPHERES | OSMOTIC-PRESSURE | HARD | DILUTE POLYDISPERSE SYSTEM | EQUATION-OF-STATE | MACROSCOPIC ELECTRIC-FIELD | VELOCITY FLUCTUATIONS | Brownian motion | Dynamics | Colloids | Fluctuation | Settling | Organisms | Dynamical systems | Sedimentation

colloids | particulate matter | sedimentation | PHYSICS, MULTIDISCIPLINARY | CHARGED COLLOIDS | PHASE-TRANSITIONS | SEDIMENTATION PROFILES | INTERACTING SPHERES | OSMOTIC-PRESSURE | HARD | DILUTE POLYDISPERSE SYSTEM | EQUATION-OF-STATE | MACROSCOPIC ELECTRIC-FIELD | VELOCITY FLUCTUATIONS | Brownian motion | Dynamics | Colloids | Fluctuation | Settling | Organisms | Dynamical systems | Sedimentation

Journal Article

Journal of Statistical Physics, ISSN 0022-4715, 8/2006, Volume 124, Issue 2, pp. 997 - 1040

We study a model of mass-bearing coagulating planar Brownian particles. The coagulation occurs when two particles are within a distance of order ε. We assume...

Physical Chemistry | Mathematical and Computational Physics | Coagulation | Quantum Physics | Interacting Particle Systems | Smoluchowski’s Equation | Planar Brownian Motion | Physics | Statistical Physics | Smoluchowski's Equation | PHYSICS, MATHEMATICAL | coagulation

Physical Chemistry | Mathematical and Computational Physics | Coagulation | Quantum Physics | Interacting Particle Systems | Smoluchowski’s Equation | Planar Brownian Motion | Physics | Statistical Physics | Smoluchowski's Equation | PHYSICS, MATHEMATICAL | coagulation

Journal Article

Progress of theoretical physics. Supplement, ISSN 0375-9687, 07/2010, Volume 184, Issue 184, pp. 172 - 186

We investigate the relation between mobility and diffusivity for Brownian particles under steady shear near the glass transition, using mode coupling...

PHYSICS, MULTIDISCIPLINARY

PHYSICS, MULTIDISCIPLINARY

Journal Article

2013, Mathematical surveys and monographs, ISBN 9781470410490, Volume no. 194., xvi, 189

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