74 citations · 880 across the 39 of their papers we have counts for
29 papers · 1 filter
Heterogeneous diffusion with recruitment and mortality
Esther D. Gutiérrez, Alexander López, R. K. Singh +3
We study a heterogeneous diffusion process with a position-dependent diffusion coefficient in the presence of independent recruitment and mortality. This framework generalises hete…
Heterogeneous planar diffusion with axisymmetric power-law decaying diffusion coefficient under stochastic resetting
Trifce Sandev, Sebastien Fumeron, Malte Henkel +1
We analyse two-dimensional isotropic heterogeneous diffusion with a radially decaying diffusion coefficient , subject to Poissonian stochastic resetting to the origin…
Generalized diffusion process with nonlocal interactions: Continuous time random walk model and stochastic resetting
Pece Trajanovski, Irina Petreska, Katarzyna Gorska +2
A space fractional diffusion-like equation is introduced, which embodies the nonlocality in time, represented by the memory kernel and the non-locality in space. A specific example…
A resetting particle embedded in a viscoelastic bath
Arup Biswas, Johan L. A. Dubbeldam, Trifce Sandev +1
We examine the behavior of a colloidal particle immersed in a viscoelastic bath undergoing stochastic resetting at a rate . Microscopic probes suspended in viscoelastic environm…
The impact of stochastic resetting on resource allocation: The case of Reallocating geometric Brownian motion
Petar Jolakoski, Pece Trajanovski, Arnab Pal +3
We study the effects of stochastic resetting on the Reallocating geometric Brownian motion (RGBM), an established model for resource redistribution relevant to systems such as popu…
Anomalous diffusion of self-propelled particles
Francisco J. Sevilla, Guillermo Chacón-Acosta, Trifce Sandev
The transport equation of active motion is generalised to consider time-fractional dynamics for describing the anomalous diffusion of self-propelled particles observed in many diff…
Random resetting in search problems
Arnab Pal, Viktor Stojkoski, Trifce Sandev
By periodically returning a search process to a known or random state, random resetting possesses the potential to unveil new trajectories, sidestep potential obstacles, and conseq…
Anomalous and ultraslow diffusion of a particle driven by power-law-correlated and distributed-order noises
Z. Tomovski, K. Gorska, T. Pietrzak +2
We study the generalized Langevin equation approach to anomalous diffusion for a harmonic oscillator and a free particle driven by different forms of internal noises, such as power…
Escape of a lamb to safe haven in pursuit by a lion under restarts
R. K. Singh, T. Sandev, Sadhana Singh
We study the escape behavior of a lamb to safe haven pursued by a hungry lion. Identifying the system with a pair of vicious Brownian walkers we evaluate the probability density fu…
Ornstein-Uhlenbeck process and generalizations: particle's dynamics under comb constraints and stochastic resetting
Pece Trajanovski, Petar Jolakoski, Kiril Zelenkovski +3
The Ornstein-Uhlenbeck process is interpreted as Brownian motion in a harmonic potential. This Gaussian Markov process has a bounded variance and admits a stationary probability di…
General approach to stochastic resetting
R. K. Singh, K. Gorska, T. Sandev
We address the effect of stochastic resetting on diffusion and subdiffusion process. For diffusion we find that MSD relaxes to a constant only when the distribution of reset times…
Autocorrelation functions and ergodicity in diffusion with stochastic resetting
Viktor Stojkoski, Trifce Sandev, Ljupco Kocarev +1
Diffusion with stochastic resetting is a paradigm of resetting processes. Standard renewal or master equation approach are typically used to study steady state and other transport…
Backbone diffusion and first-passage dynamics in a comb structure with confining branches under stochastic resetting
R. K. Singh, T. Sandev, A. Iomin +1
We study the diffusive motion of a test particle in a two-dimensional comb structure consisting of a main backbone channel with continuously distributed side branches, in the prese…
Continuous time random walks under Markovian resetting
Vicenç Méndez, Axel Masó-Puigdellosas, Trifce Sandev +1
We investigate the effects of markovian resseting events on continuous time random walks where the waiting times and the jump lengths are random variables distributed according to…
First encounters on Bethe Lattices and Cayley Trees
Junhao Peng, Trifce Sandev, Ljupco Kocarev
In this work we consider the first encounter problems between a fixed and/or mobile target A and a moving trap B on Bethe Lattices and Cayley trees. The survival probability (SP) o…
The generalized Cattaneo (telegrapher's) equation and corresponding random walks
K. Górska, A. Horzela, E. K. Lenzi +2
The various types of generalized Cattaneo, called also telegrapher's equation, are studied. We find conditions under which solutions of the equations considered so far can be recog…
Stochastic resetting on comb-like structures
Viktor Domazetoski, Axel Masó-Puigdellosas, Trifce Sandev +3
We study a diffusion process on a three-dimensional comb under stochastic resetting. We consider three different types of resetting: global resetting from any point in the comb to…
Quenched and Annealed Disorder Mechanisms in Comb-Models with Fractional Operators
A. A. Tateishi, H. V. Ribeiro, T. Sandev +2
Recent experimental findings on anomalous diffusion have demanded novel models that combine annealed (temporal) and quenched (spatial or static) disorder mechanisms. The comb-model…
Lévy walk revisited: Hermite polynomial expansion approach
Pengbo Xu, Weihua Deng, Trifce Sandev
Integral transform method (Fourier or Laplace transform, etc) is more often effective to do the theoretical analysis for the stochastic processes. However, for the time-space coupl…
Generalized diffusion-wave equation with memory kernel
Trifce Sandev, Zivorad Tomovski, Johan Dubbeldam +1
We study generalized diffusion-wave equation in which the second order time derivative is replaced by integro-differential operator. It yields time fractional and distributed order…
Generalised Diffusion and Wave Equations: Recent Advances
Trifce Sandev, Ralf Metzler, Aleksei Chechkin
We present a short overview of the recent results in the theory of diffusion and wave equations with generalised derivative operators. We give generic examples of such generalised…
Finite-velocity diffusion on a comb
Trifce Sandev, Alexander Iomin
A Cattaneo equation for a comb structure is considered. We present a rigorous analysis of the obtained fractional diffusion equation, and corresponding solutions for the probabilit…
Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers
D. Molina-Garcia, T. Sandev, H. Safdari +3
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 p…
Models for characterizing the transition among anomalous diffusions with different diffusion exponents
Trifce Sandev, Weihua Deng, Pengbo Xu
Based on the theory of continuous time random walks (CTRW), we build the models of characterizing the transitions among anomalous diffusions with different diffusion exponents, oft…