203 citations · 3.9k across the 153 of their papers we have counts for
106 papers · 1 filter
Slow heat-driven flow in a gas of hard disks
Amit Kumar, Abhishek Dhar, Baruch Meerson
We study a slow heat-driven flow in a gas of elastically colliding hard disks confined to a long channel. The initial state consists of two regions with large temperature and densi…
Speed fluctuations of a stochastic Huxley-Zel'dovich front
Evgeniy Khain, Baruch Meerson, Pavel V. Sasorov
The empirical speed of travelling reaction-diffusion fronts fluctuates due to the intrinsic shot noise of the reactions and diffusion. Here we study the long-time front speed fluct…
Short-time statistics of extinction and blowup in reaction kinetics
Rotem Degany, Michael Assaf, Baruch Meerson
We study the statistics of extinction and blowup times in well-mixed systems of stochastically reacting particles. We focus on the short-time tail, , of the extinction- or…
Collective behavior of independent scaled Brownian particles with renewal resetting
Ohad Vilk, Baruch Meerson
We study fluctuations of an ensemble of independent particles undergoing anomalous diffusion with random renewal resetting. The anomalous diffusion is modeled by the scaled Bro…
Age-structured hydrodynamics of ensembles of anomalously diffusing particles with renewal resetting
Baruch Meerson, Ohad Vilk
We develop an age-structured hydrodynamic (HD) theory which describes the collective behavior of anomalously diffusing particles under stochastic renewal resetting. The th…
Anomalous scaling and phase transition in large deviations of dynamical observables of stationary Gaussian processes
Alexander Valov, Baruch Meerson
We study large deviations, over a long time window , of the dynamical observables , , where is a centered stationary…
Short-time blowup statistics of a Brownian particle in repulsive potentials
Baruch Meerson
We study the dynamics of an overdamped Brownian particle in a repulsive scale-invariant potential . For , a particle starting at position reaches inf…
Fractional Brownian Motion with Negative Hurst Exponent
Baruch Meerson, Pavel V. Sasorov
Fractional Brownian motion (fBm) is an important scale-invariant Gaussian non-Markovian process with stationary increments, which serves as a prototypical example of a system with…
Fluctuations of blowup time in a simple model of a super-Malthusian catastrophe
Baruch Meerson
Motivated by the paradigm of a super-Maltusian population catastrophe, we study a simple stochastic population model which exhibits a finite-time blowup of the population size and…
Finite-time blowup of a Brownian particle in a repulsive potential
P. L. Krapivsky, Baruch Meerson
We consider a Brownian particle performing an overdamped motion in a power-law repulsive potential. If the potential grows with the distance faster than quadratically, the particle…
Dynamical large deviations of the fractional Ornstein-Uhlenbeck process
Alexander Valov, Baruch Meerson
The fractional Ornstein-Uhleneck (fOU) process is described by the overdamped Langevin equation , where is the fractional Gaussian noise with t…
Negative large deviations of the front velocity of -particle branching Brownian motion
Baruch Meerson, Pavel V. Sasorov
We study negative large deviations of the long-time empirical front velocity of the center of mass of the one-sided -BBM (-particle branching Brownian motion) system in one d…
Fractional Brownian motion in confining potentials: non-equilibrium distribution tails and optimal fluctuations
Baruch Meerson, Pavel V. Sasorov
At long times, a fractional Brownian particle in a confining external potential reaches a non-equilibrium (non-Boltzmann) steady state. Here we consider scale-invariant power-law p…
Full Statistics of Regularized Local Energy Density in a Freely Expanding Kipnis-Marchioro-Presutti Gas
Eldad Bettelheim, Baruch Meerson
We combine the Macroscopic Fluctuation Theory and the Inverse Scattering Method to determine the full long-time statistics of the energy density averaged over a given spat…
Relaxation and fluctuations of a mass- and dipole-conserving stochastic lattice gas
Baruch Meerson
Han et al. [Phys. Rev. Lett. \textbf{132}, 137102 (2024)] have recently introduced a classical stochastic lattice gas model which, in addition to particle conservation, also conser…
Thermally activated particle motion in biased correlated Gaussian disorder potentials
Alexander Valov, Netanel Levi, Baruch Meerson
Thermally activated particle motion in disorder potentials is controlled by the large- tail of the distribution of height of the potential barriers created by the disorder…
Complete Integrability of the Problem of Full Statistics of Nonstationary Mass Transfer in the Simple Inclusion Process
Eldad Bettelheim, Baruch Meerson
The Simple Inclusion Process (SIP) interpolates between two well-known lattice gas models: the independent random walkers and the Kipnis-Marchioro-Presutti model. Here we study lar…
Macroscopic fluctuation theory of local time in lattice gases
Naftali R. Smith, Baruch Meerson
The local time in an ensemble of particles measures the amount of time the particles spend in the vicinity of a given point in space. Here we study fluctuations of the empirical ti…
Large deviations and phase transitions in spectral linear statistics of Gaussian random matrices
Alexander Valov, Baruch Meerson, Pavel V. Sasorov
We evaluate, in the large- limit, the complete probability distribution of the values of the sum , where ()…
First-passage area distribution and optimal fluctuations of fractional Brownian motion
A. K. Hartmann, B. Meerson
We study the probability distribution of the area swept under fractional Brownian motion (fB\ m) until its first passage time to the origin.…
Short-time large deviations of the spatially averaged height of a KPZ interface on a ring
Timo Schorlepp, Pavel Sasorov, Baruch Meerson
Using the optimal fluctuation method, we evaluate the short-time probability distribution of the spatially averaged height $\bar{H} = (1/L) \int_0^L h(x, t=T)…
Geometrical optics of large deviations of Brownian motion in inhomogeneous media
Tal Bar, Baruch Meerson
Geometrical optics provides an instructive insight into Brownian motion, ``pushed" into a large-deviations regime by imposed constraints. Here we extend geometrical optics of Brown…
Large deviations of the interface height in the Golubović-Bruinsma model of stochastic growth
Baruch Meerson, Arkady Vilenkin
We study large deviations of the one-point height distribution, , of a stochastic interface, governed by the Golubović-Bruinsma equation $$ \partial_{t}h=-ν\parti…
Geometrical optics of first-passage functionals of random acceleration
Baruch Meerson
Random acceleration is a fundamental stochastic process encountered in many applications. In the one-dimensional version of the process a particle is randomly accelerated according…