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3 dni temu · 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 orientation of the propelling force is described by scaled Brownian ...
5 dni temu · Abstract. Despite the success of fractional Brownian motion (fBm) in modeling systems that exhibit anomalous diffusion due to temporal correlations, recent experimental and theoretical studies highlight the necessity for a more comprehensive approach of a generalization that incorporates heterogeneities in either the tracers or the environment.
1 dzień temu · Porous spherical silica microparticles with diameter of 5 µm (Figure 1a) are dispersed in a photo-sensitive surfactant aqueous solution (Figures 1b,c).The dispersion is injected into a rectangular microfluidic channel with the height of 0.54 mm and the width of 3.8 mm (Figure 1d).After injection the silica particles sediment at the glass surface undergoing Brownian motion.
2 dni temu · By substituting this estimated value for equation ... that showed ballistic motion with mean square displacement in the regime of 1 ... kinetics for active Brownian particles. ...
5 dni temu · In 1827, Brown 1 discovered Brownian motion, a phenomenon that lies at the heart of understanding transport phenomena in soft matter and motivated Einstein’s doctoral thesis to look at fluctuations. 2 Einstein proposed a way to determine the size of molecules in a liquid, which led to a method for calculating Avogadro’s number, laying the groundwork for modern physical chemistry and ...
4 dni temu · This manuscript aims to study a new class of non-instantaneous impulsive Hilfer stochastic differential system of fractional-order \(\frac{1}{2}\le \beta \le 1,\) driven by fractional Brownian motion and Poisson jumps in a Hilbert space. A new set of sufficient conditions is derived to ensure the existence of the mild solution and exact null controllability of the proposed control system ...
3 dni temu · This claim of Fickian diffusion from emitters undergoing Brownian motion is supported by the underlying displacement distributions, individual trajectory statistics, and α values reported in the Supplementary Materials. The relationship between MSD and lag time is also commonly represented in linear space using the following equation,
