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Underdamped scaled Brownian motion: (non-)existence of the overdamped limit in anomalous diffusion
TLDR
It is shown that for this underdamped scaled Brownian motion (UDSBM) the overdamped limit fails to describe the long time behaviour of the system and may practically even not exist at all for a certain range of the parameter values, so persistent inertial effects play a non-negligible role even at significantly long times.
Aging scaled Brownian motion.
TLDR
It is demonstrated that the information on the aging factorizes with respect to the lag time and exhibits a functional form that is identical to the aging behavior of scale-free continuous time random walk processes.
Fractional Dynamics of Network Growth Constrained by Aging Node Interactions
TLDR
This paper examines how the growth process of a (social) network is influenced by past circumstances and modify the well known preferential attachment mechanism by imposing a time dependent kernel function in the network evolution equation, leading to a fractional order Barabási-Albert differential equation, generalizing the BA model.
Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers
The emerging diffusive dynamics in many complex systems shows a characteristic crossover behaviour from anomalous to normal diffusion which is otherwise fitted by two independent power-laws. A
Glassy States of Aging Social Networks
TLDR
In order to investigate some history or memory effect on social networks, a temporal kernel function is introduced into the Heider conventional balance theory, allowing for the “quality” of past relations to contribute to the evolution of the system.
Quantifying the non-ergodicity of scaled Brownian motion
We examine the non-ergodic properties of scaled Brownian motion, a non-stationary stochastic process with a time dependent diffusivity of the form $D(t)\simeq t^{\alpha-1}$. We compute the ergodicity
11-Chloro-3-methyl-3H-imidazo[4,5-a]acridine (CMIA) as a potent and selective antimicrobial agent against clinical isolates of highly antibiotic-resistant Acinetobacter baumannii
TLDR
It is demonstrated that CMIA is a potent and selective antimicrobial agent against clinical strains of antibiotic-resistant A. baumannii.
Aging underdamped scaled Brownian motion: Ensemble- and time-averaged particle displacements, nonergodicity, and the failure of the overdamping approximation.
TLDR
How the mean squared displacement (MSD) and the time-averaged MSD of UDSBM are affected by the inertial term in the Langevin equation is demonstrated, both at short, intermediate, and even long diffusion times.
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