183 citations · 3.6k across the 121 of their papers we have counts for
86 papers · 1 filter
Fastest first-passage time for multiple searchers with finite speed
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
We study analytically and numerically the mean fastest first-passage time (fFPT) to an immobile target for an ensemble of independent finite-speed random searchers driven by di…
One-dimensional lattice random walks in a Gaussian random potential
Silvio Kalaj, Enzo Marinari, Gleb Oshanin +1
We study random walks evolving in continuous time on a one-dimensional lattice where each site hosts a quenched random potential . The potentials on different sites are in…
Discrete-space and -time analogue of a super-diffusive fractional Brownian motion
Enzo Marinari, Gleb Oshanin
We discuss how to construct reliably well "a lattice and an integer time" version of a super-diffusive continuous-space and -time fractional Brownian motion (fBm) -- an experimenta…
Fastest first-passage time statistics for time-dependent particle injection
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
A common scenario in a variety of biological systems is that multiple particles are searching in parallel for an immobile target located in a bounded domain, and the fastest among…
A simple model of a sequence-reading diffusion: non-self-averaging and self-averaging properties
Silvio Kalaj, Enzo Marinari, Gleb Oshanin +1
Motivated by a question about the sensitivity of knots' diffusive motion to the actual sequence of nucleotides placed on a given DNA, here we study a simple model of a sequence-rea…
A unifying representation of path integrals for fractional Brownian motions
O. Benichou, G. Oshanin
Fractional Brownian motion (fBm) is an experimentally-relevant, non-Markovian Gaussian stochastic process with long-ranged correlations between the increments, parametrised by the…
Irregular gyration of a two-dimensional random-acceleration process in a confining potential
Victor Dotsenko, Gleb Oshanin, Leonid Pastur +1
We study the stochastic dynamics of a two-dimensional particle assuming that the components of its position are two coupled random-acceleration processes evolving in a confining pa…
Destructive effect of fluctuations on the performance of a Brownian gyrator
Pascal Viot, Aykut Argun, Giovanni Volpe +3
The Brownian gyrator (BG) is often called a minimal model of a nano-engine performing a rotational motion, judging solely upon the fact that in non-equilibrium conditions its torqu…
Out-of-equilibrium dynamics of two interacting optically-trapped particles
Victor S Dotsenko, Alberto Imparato, Pascal Viot +1
We present a theoretical analysis of a non-equilibrium dynamics in a model system consisting of two particles which move randomly on a plane. The two particles interact via a harmo…
Towards a robust criterion of anomalous diffusion
Vittoria Sposini, Diego Krapf, Enzo Marinari +8
Anomalous-diffusion, the departure of the spreading dynamics of diffusing particles from the traditional law of Brownian-motion, is a signature feature of a large number of complex…
Path integrals for fractional Brownian motion and fractional Gaussian noise
Baruch Meerson, Olivier Bénichou, Gleb Oshanin
The Wiener's path integral plays a central role in the studies of Brownian motion. Here we derive exact path-integral representations for the more general \emph{fractional} Brownia…
Cooperative dynamics in two-component out-of-equilibrium systems: Molecular "spinning tops"
Victor S Dotsenko, Pascal Viot, Alberto Imparato +1
We study the two-dimensional Langevin dynamics of a two-component system, whose components are in contact with heat baths kept at different temperatures. Dynamics is constrained by…
Search efficiency in the Adam-Delbrück reduction-of-dimensionality scenario versus direct diffusive search
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
The time instant -- the first-passage time (FPT) -- when a diffusive particle (e.g., a ligand such as oxygen or a signalling protein) for the first time reaches an immobile target…
Noise-to-signal ratio of single-trajectory spectral densities in centered Gaussian processes
Alessio Squarcini, Enzo Marinari, Gleb Oshanin +2
We discuss the statistical properties of a single-trajectory power spectral density of an arbitrary real-valued centered Gaussian process , where is th…
Frequency-frequency correlations of single-trajectory spectral densities of Gaussian processes
Alessio Squarcini, Enzo Marinari, Gleb Oshanin +2
We investigate the stochastic behavior of the single-trajectory spectral density of several Gaussian stochastic processes, i.e., Brownian motion, the Ornstein-Uh…
Fractional Brownian Gyrator
Alessio Squarcini, Alexandre Solon, Pascal Viot +1
When a physical system evolves in a thermal bath at a constant temperature, it arrives eventually to an equilibrium state whose properties are independent of the kinetic parameters…
Geometrical optics of large deviations of fractional Brownian motion
B. Meerson, G. Oshanin
It has been shown recently that the optimal fluctuation method -- essentially geometrical optics -- provides a valuable insight into large deviations of Brownian motion. Here we ex…
From steady-state TASEP model with open boundaries to 1D Ising model at negative fugacity
Mikhail V. Tamm, Maxym Dudka, Nikita Pospelov +2
We demonstrate here a series of exact mappings between particular cases of four statistical physics models: equilibrium 1-dimensional lattice gas with nearest-neighbor repulsion, $…
Spectral fingerprints of non-equilibrium dynamics: The case of a Brownian gyrator
S. Cerasoli, S. Ciliberto, E. Marinari +3
The same system can exhibit a completely different dynamical behavior when it evolves in equilibrium conditions or when it is driven out-of-equilibrium by, e.g., connecting some of…
Spectral density of individual trajectories of an active Brownian particle
Alessio Squarcini, Alexandre Solon, Gleb Oshanin
We study analytically the single-trajectory spectral density (STSD) of an active Brownian motion as exhibited, for example, by the dynamics of a chemically-active Janus colloid. We…
Binary lattice-gases of particles with soft exclusion: Exact phase diagrams for tree-like lattices
Dmytro Shapoval, Maxym Dudka, Olivier Bénichou +1
We study equilibrium properties of binary lattice-gases comprising and particles, which undergo continuous exchanges with their respective reservoirs, maintained at chemica…
Time-dependence of the effective temperatures of a two-dimensional Brownian gyrator with cold and hot components
Sara Cerasoli, Victor Dotsenko, Gleb Oshanin +1
We consider a model of a two-dimensional molecular machine - called Brownian gyrator - that consists of two coordinates coupled to each other and to separate heat baths at temperat…
From single-particle stochastic kinetics to macroscopic reaction rates: fastest first-passage time of random walkers
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
We consider the first-passage problem for identical independent particles that are initially released uniformly in a finite domain and then diffuse toward a reactive area $…
Exact first-passage time distributions for three random diffusivity models
D. S. Grebenkov, V. Sposini, R. Metzler +2
We study the extremal properties of a stochastic process defined by a Langevin equation , where is a Gaussian white noise with zero…