0000000000285460

AUTHOR

E. I. Anashkina

showing 4 related works from this author

The distribution of velocities in an ensemble of accelerated particles on a surface

2016

An ensemble of particles diffusing with acceleration on a surface is considered as a 2D billiard system. The process of the finite-time diffusion of particles is studied using the balance equation. The probability distribution functions of the velocity and lifetime of particles are obtained analytically and by means of numerical simulations. A thermodynamic interpretation of the process is discussed. The effective temperature and entropy obey the relationship for an ideal gas.

Statistics and ProbabilityPhysicsIsothermal–isobaric ensembleStatistical and Nonlinear Physics02 engineering and technologyMechanicsEffective temperature021001 nanoscience & nanotechnology01 natural sciencesIdeal gas0103 physical sciencesOpen statistical ensembleBalance equationProbability distributionStatistical physicsStatistics Probability and UncertaintyDynamical billiards010306 general physics0210 nano-technologyJournal of Statistical Mechanics: Theory and Experiment
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Stochastic model for the epitaxial growth of two-dimensional islands in the submonolayer regime

2016

The diffusion-based growth of islands composed of clusters of metal atoms on a substrate is considered in the aggregation regime. A stochastic approach is proposed to describe the dynamics of island growth based on a Langevin equation with multiplicative noise. The distribution of island sizes, obtained as a solution of the corresponding Fokker-Planck equation, is derived. The time-dependence of island growth on its fractal dimension is analysed. The effect of mobility of the small islands on the growth of large islands is considered. Numerical simulations are in a good agreement with theoretical results.

Statistics and ProbabilityMaterials scienceCondensed matter physicsStochastic modellingStatistical and Nonlinear Physics02 engineering and technology021001 nanoscience & nanotechnology01 natural sciencesdiffusion-limited aggregation (theory)0103 physical sciencesstochastic processes (theory) diffusionStatistics Probability and Uncertaintydendritic growth (theory)010306 general physics0210 nano-technologydendritic growth (theory); diffusion-limited aggregation (theory); stochastic processes (theory) diffusion; Statistics and Probability; Statistical and Nonlinear Physics; Statistics Probability and UncertaintyStatistical and Nonlinear PhysicJournal of Statistical Mechanics: Theory and Experiment
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Predator population depending on lemming cycles

2016

In this paper, a Langevin equation for predator population with multiplicative correlated noise is analyzed. The noise source, which is a nonnegative random pulse noise with regulated periodicity, corresponds to the prey population cycling. The increase of periodicity of noise affects the average predator density at the stationary state.

Settore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciPopulationDead-time-distorted Poisson proceDead-time-distorted Poisson process; Langevin equation; Noise in biological systems; population dynamics; Condensed Matter Physics; Statistical and Nonlinear PhysicsCondensed Matter PhysicNoise in biological system01 natural sciences010305 fluids & plasmasLangevin equation0103 physical sciencesQuantitative Biology::Populations and EvolutionStatistical physics010306 general physicseducationPredatorMathematicsPulse noiseeducation.field_of_studyStochastic processMultiplicative functionStatistical and Nonlinear PhysicsCondensed Matter Physicspopulation dynamicLangevin equationNoiseStationary state
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Relaxation dynamics in the presence of pulse multiplicative noise sources with different correlation properties

2015

The relaxation dynamics of a system described by a Langevin equation with pulse multiplicative noise sources with different correlation properties is considered. The solution of the corresponding Fokker-Planck equation is derived for Gaussian white noise. Moreover, two pulse processes with regulated periodicity are considered as a noise source: the dead-time-distorted Poisson process and the process with fixed time intervals, which is characterized by an infinite correlation time. We find that the steady state of the system is dependent on the correlation properties of the pulse noise. An increase of the noise correlation causes the decrease of the mean value of the solution at the steady s…

Statistics and ProbabilitySteady stateNoise spectral densityShot noiseWhite noiseCondensed Matter PhysicMultiplicative noisePulse (physics)Langevin equationStatisticsStatistical physicsNoise (radio)MathematicsStatistical and Nonlinear Physic
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