Superdiffusion in 2D open-horizon billiards with stochastically oscillating boundaries

Loskutov, A. Yu.; Chichigina, O. A.; Krasnova, A. K.; Sokolov, Igor M.

doi:10.1209/0295-5075/98/10006

Cited by 4 publications

(2 citation statements)

References 22 publications

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“…The last stage of the life cycle of a particle is the capture of the particle by an island. The probability of capturing per unit time is proportional to particle velocity [18], and the coecient of proportionality α, that is the capture parameter, depends on the geometrical properties of islands such as number density, size and shape. The parameter 1 α − is the mean trajectory length of a particle, that it passes from the moment of deposition to the moment of joining an island [18].…”

Section: Velocity Distributionmentioning

confidence: 99%

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

2016

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. 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.

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Section: Velocity Distributionmentioning

confidence: 99%

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

2016

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“…We consider PDFs of DBNP with interesting statistical properties. The shifted gamma-distribution is most widely used in physics and population dynamics [13,20,46]. The straightened trajectory of a molecule of an ideal gas with marked points of each nth collision is an example of such a structure.…”

Section: Introductionmentioning

confidence: 99%

The correlation parameter of renewal processes and structures with positive and negative periodicity

Chichigina

2023

J. Stat. Mech.

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The correlation parameter (CP) as a generalization of the concepts of correlation time and correlation length is calculated for the renewal point structure by studying the spectral density. This structure is a generalization of the renewal process and is characterized by the probability distribution of distances between neighboring points. These distances can be negative. A non-monotonic dependence of the CP on the periodicity parameter is obtained. The results of calculating CPs using spectral densities for various renewal structures are in good agreement with the results of the general formula for quasi-symmetric distributions.

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Velocity distribution for quasistable acceleration in the presence of multiplicative noise

2013

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Processes that are far both from equilibrium and from phase transition are studied. It is shown that a process with mean velocity that exhibits power-law growth in time can be analyzed using the Langevin equation with multiplicative noise. The solution to the corresponding Fokker-Planck equation is derived. Results of the numerical solution of the Langevin equation and simulation of the motion of particles in a billiard system with a time-dependent boundary are presented.

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Superdiffusion in 2D open-horizon billiards with stochastically oscillating boundaries

Cited by 4 publications

References 22 publications

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

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

The correlation parameter of renewal processes and structures with positive and negative periodicity

Velocity distribution for quasistable acceleration in the presence of multiplicative noise

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