27 citations · 68 across the 11 of their papers we have counts for
12 papers
Oscillatory Active Brownian Motion: A Minimal Model for Sperm Dynamics
Adrian Pacheco-Pozo, Arturo Matamoros Volante, Pilar Ameijeiras +2
Active biological microswimmers typically combine persistent self-propulsion with cyclic motion generated by flagellar or ciliary beating. However, standard active Brownian motion…
Turning angle analysis reveals hidden anisotropies in intracellular transport
Michał Balcerek, Adrian Pacheco-Pozo, Agnieszka Wyłomańska +1
Molecular motion within living cells provides a window into the physical principles underlying intracellular organization and transport. Yet a fundamental limitation remains: measu…
Two-dimensional fractional Brownian motion: Analysis in time and frequency domains
Michał Balcerek, Adrian Pacheco-Pozo, Agnieszka Wyłomańska +2
This article introduces a novel construction of the two-dimensional fractional Brownian motion (2D fBm) with dependent components. Unlike similar models discussed in the literature…
Heterogeneous diffusion in an harmonic potential: the role of the interpretation
Adrian Pacheco-Pozo, Igor M. Sokolov, Ralf Metzler +1
Diffusion in heterogeneous energy and diffusivity landscapes is widespread in biological systems. However, solving the Langevin equation in such environments introduces ambiguity d…
Evaluating Gaussianity of heterogeneous fractional Brownian motion
Michał Balcerek, Adrian Pacheco-Pozo, Agnieszka Wyłomańska +1
Heterogeneous diffusion processes are prevalent in various fields, including the motion of proteins in living cells, the migratory movement of birds and mammals, and finance. These…
Two-dimensional Brownian motion with dependent components: turning angle analysis
Michał Balcerek, Adrian Pacheco-Pozo, Agnieszka Wyłomanska +2
Brownian motion in one or more dimensions is extensively used as a stochastic process to model natural and engineering signals, as well as financial data. Most works dealing with m…
Fractional Brownian motion with fluctuating diffusivities
Adrian Pacheco-Pozo, Diego Krapf
Despite the success of fractional Brownian motion (fBm) in modeling systems that exhibit anomalous diffusion due to temporal correlations, recent experimental and theoretical studi…
Langevin equation in heterogeneous landscapes: how to choose the interpretation
Adrian Pacheco-Pozo, Michał Balcerek, Agnieszka Wyłomańska +3
The Langevin equation is a common tool to model diffusion at a single-particle level. In non-homogeneous environments, such as aqueous two-phase systems or biological condensates w…
Random walks in correlated diffusivity landscapes
Adrian Pacheco-Pozo, Igor M. Sokolov
In recent years, several experiments highlighted a new type of diffusion anomaly, which was called Brownian yet non-Gaussian diffusion. In systems displaying this behavior, the mea…
Universal fluctuations and ergodicity of generalized diffusivity on critical percolation clusters
Adrian Pacheco-Pozo, Igor M. Sokolov
Despite a long history and a clear overall understanding of properties of random walks on an incipient infinite cluster in percolation, some important information on it seems to be…
Convergence to a Gaussian by narrowing of central peak in Brownian yet non-Gaussian diffusion in disordered environments
Adrian Pacheco-Pozo, Igor M. Sokolov
In usual diffusion, the concentration profile, starting from an initial distribution showing sharp features, first gets smooth and then converges to a Gaussian. By considering seve…
Large Deviation in Continuous Time Random Walks
Adrian Pacheco-Pozo, Igor M. Sokolov
We discuss large deviation properties of continuous-time random walks (CTRW) and present a general expression for the large deviation rate in CTRW in terms of the corresponding rat…