108 citations · 302 across the 15 of their papers we have counts for
11 papers · 1 filter
Fickian yet non-Gaussian diffusion in an annealed heterogeneous environment
Seongyu Park, Xavier Durang, Ralf Metzler +1
Fickian yet non-Gaussian diffusion is a ubiquitous phenomenon observed in various biological and soft matter systems. This anomalous dynamics is typically attributed to heterogeneo…
Accessing power-law statistics under experimental constraints
Xavier Durang, Hyerim Ahn, Jae Youn Shim +2
Over the last decades, impressive progresses have been made in many experimental domains, e.g. microscopic techniques such as single-particle tracking, leading to plethoric amounts…
Anomalous diffusion for active Brownian particles cross-linked to a networked polymer: Langevin dynamics simulation and theory
Sungmin Joo, Xavier Durang, O-chul Lee +1
Quantitatively understanding of the dynamics of an active Brownian particle (ABP) interacting with a viscoelastic polymer environment is a scientific challenge. It is intimately re…
Cross-over between diffusion-limited and reaction-limited regimes in the coagulation-diffusion process
Dmytro Shapoval, Maxym Dudka, Xavier Durang +1
The change from the diffusion-limited to the reaction-limited cooperative behaviour in reaction-diffusion systems is analysed by comparing the universal long-time behaviour of the…
Emergence of Nonwhite Noise in Langevin Dynamics with Magnetic Lorentz Force
Hyun-Myung Chun, Xavier Durang, Jae Dong Noh
We investigate the low mass limit of Langevin dynamics for a charged Brownian particle driven by the magnetic Lorentz force. In the low mass limit, velocity variables relaxing quic…
Exactly solvable models of growing interfaces and lattice gases: the Arcetri models, ageing and logarithmic sub-ageing
Xavier Durang, Malte Henkel
Motivated by an analogy with the spherical model of a ferromagnet, the three Arcetri models are defined. They present new universality classes, either for the growth of interfaces,…
Statistical mechanics of the coagulation-diffusion process with a stochastic reset
Xavier Durang, Malte Henkel, Hyunggyu Park
The effects of a stochastic reset, to its initial configuration, is studied in the exactly solvable one-dimensional coagulation-diffusion process. A finite resetting rate leads to…
Overdamped limit and inverse friction expansion for the Brownian motion in an inhomogeneous medium
Xavier Durang, Chulan Kwon, Hyunggyu Park
We revisit the problem of the overdamped (large friction) limit of the Brownian dynamics in an inhomogeneous medium characterized by a position-dependent friction coefficient and a…
Exact two-time correlation and response functions in the one-dimensional coagulation-diffusion process by the empty-interval-particle method
Xavier Durang, Jean-Yves Fortin, Malte Henkel
The one-dimensional coagulation-diffusion process describes the strongly fluctuating dynamics of particles, freely hopping between the nearest-neighbour sites of a chain such that…
Exact correlations in the one-dimensional coagulation-diffusion process by the empty-interval method
Xavier Durang, Jean-Yves Fortin, Diego Del Biondo +2
The long-time dynamics of reaction-diffusion processes in low dimensions is dominated by fluctuation effects. The one-dimensional coagulation-diffusion process describes the kineti…
Ageing in bosonic particle-reaction models with long-range transport
Xavier Durang, Malte Henkel
Ageing in systems without detailed balance is studied in bosonic contact and pair-contact processes with Levy diffusion. In the ageing regime, the dynamical scaling of the two-time…