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Vor 5 Tagen · A model for anomalous transport of tracer particles diffusing in complex media in two dimensions is proposed. The model takes into account the characteristics of persistent motion that an active bath transfers to the tracer; thus, the model proposed here extends active Brownian motion, for which the stochastic dynamics of the ...
13. Juni 2024 · Probability theory - Brownian Motion, Process, Randomness: The most important stochastic process is the Brownian motion or Wiener process. It was first discussed by Louis Bachelier (1900), who was interested in modeling fluctuations in prices in financial markets, and by Albert Einstein (1905), who gave a mathematical model for the ...
30. Juni 2024 · The Brownian motion process and the Poisson process (in one dimension) are both examples of Markov processes in continuous time, while random walks on the integers and the gambler's ruin problem are examples of Markov processes in discrete time.
25. Juni 2024 · The Brownian motion of shape-asymmetric particles in two dimensions results in anisotropic diffusion at short times, while the late-time transport is isotropic due to rotational diffusion. We show that the presence of orientational resetting promotes the anisotropy to late times.
- arXiv:2406.17550 [cond-mat.stat-mech]
Vor 6 Tagen · We use a deterministic dynamical system that simulates a Brownian movement over time to produce pseudo-random sequences of binary numbers. We show that the used Brownian system has two positive Lyapunov exponents, this characteristic is different of a chaotic system that has only one maximum positive Lyapunov exponent.
1. Juli 2024 · Brownian motors are nanoscale machines that utilize asymmetric physical interactions to generate directed motion in space. The operation mechanism relies on the random motion of nanoscale elements generated by thermal activation.
30. Juni 2024 · Generate and draw a Brownian Tree. A Brownian Tree is generated as a result of an initial seed, followed by the interaction of two processes. The initial "seed" is placed somewhere within the field. Where is not particularly important; it could be randomized, or it could be a fixed point.
