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• W2516260003 abstract "The paper is devoted to the relationship between the continuous Markovian description of L evy ights developed previously (Lubashevsky et al., Phys. Rev. E 79 (2009) 011110, 80 (2009) 031148; Eur. Phys. J. B 78 (2010) 207, 82 (2011) 189 ) and their equivalent representation in terms of discrete steps of a wandering particle, a certain generalization of continuous time random walks. To simplify understanding the key points of the technique to be created, our consideration is conned to the one-dimensional model for continuous random motion of a particle with inertia. Its dynamics governed by stochastic self-acceleration is described as motion on the phase planefx;vg comprising the position x and velocity v = dx=dt of the given particle. A notion of random walks inside a certain neighborhoodL of the line v = 0 (the x-axis) and outside it is developed. It enables us to represent a continuous trajectory of particle motion on the planefx;vg as a collection of the corresponding discrete steps. Each of these steps matches one complete fragment of the velocity" @default.
• W2516260003 created "2016-09-16" @default.
• W2516260003 creator A5020005266 @default.
• W2516260003 date "2012-01-01" @default.
• W2516260003 modified "2023-09-24" @default.
• W2516260003 title "Model of one-dimensional motion of inertial particle" @default.
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• W2516260003 hasPublicationYear "2012" @default.
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