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Showing 2019 · cond-mat.stat-mechShow all

25 papers · 2 filters

cond-mat.stat-mech2019★ 60 cited

The convex hull of the run-and-tumble particle in a plane

Alexander K Hartmann, Satya N Majumdar, Hendrik Schawe +1

We study the statistical properties of the convex hull of a planar run-and-tumble particle (RTP), also known as the "persistent random walk", where the particle/walker runs ballist…

cond-mat.stat-mech2019★ 32 cited

Statistics of first-passage Brownian functionals

Satya N. Majumdar, Baruch Meerson

We study the distribution of first-passage functionals , where is a Brownian motion (with or without drift) with diffusion constant ,…

cond-mat.stat-mech2019★ 82 cited

Exact stationary state of a run-and-tumble particle with three internal states in a harmonic trap

Urna Basu, Satya N. Majumdar, Alberto Rosso +2

We study the motion of a one-dimensional run-and-tumble particle with three discrete internal states in the presence of a harmonic trap of stiffness The three internal states,…

cond-mat.stat-mech2019★ 202 cited

Extreme value statistics of correlated random variables: a pedagogical review

Satya N. Majumdar, Arnab Pal, Gregory Schehr

Extreme value statistics (EVS) concerns the study of the statistics of the maximum or the minimum of a set of random variables. This is an important problem for any time-series and…

cond-mat.stat-mech2019★ 607 cited

Stochastic Resetting and Applications

Martin R. Evans, Satya N. Majumdar, Gregory Schehr

In this Topical Review we consider stochastic processes under resetting, which have attracted a lot of attention in recent years. We begin with the simple example of a diffusive pa…

cond-mat.stat-mech2019★ 41 cited

Localization transition in the Discrete Non-Linear Schrödinger Equation: ensembles inequivalence and negative temperatures

Giacomo Gradenigo, Stefano Iubini, Roberto Livi +1

We present a detailed account of a first-order localization transition in the Discrete Nonlinear Schrödinger Equation, where the localized phase is associated to the high energy re…

cond-mat.stat-mech2019★ 15 cited

Exclusion statistics and lattice random walks

Stephane Ouvry, Alexios P. Polychronakos

We establish a connection between exclusion statistics with arbitrary integer exclusion parameter and a class of random walks on planar lattices. This connection maps the gener…

cond-mat.stat-mech2019★ 81 cited

Long time position distribution of an active Brownian particle in two dimensions

Urna Basu, Satya N. Majumdar, Alberto Rosso +1

We study the late time dynamics of a single active Brownian particle in two dimensions with speed and rotation diffusion constant . We show that at late times $t\gg D_R^…

cond-mat.stat-mech2019★ 8 cited

Stochastic growth in time dependent environments

Guillaume Barraquand, Pierre Le Doussal, Alberto Rosso

We study the Kardar-Parisi-Zhang (KPZ) growth equation in one dimension with a noise variance depending on time. We find that for there is a transition…

cond-mat.stat-mech2019★ 16 cited

Universal scaling of the velocity field in crack front propagation

Clément Le Priol, Julien Chopin, Pierre Le Doussal +2

The propagation of a crack front in disordered materials is jerky and characterized by bursts of activity, called avalanches. These phenomena are the manifestation of an out-of-equ…

cond-mat.stat-mech2019★ 43 cited

Time between the maximum and the minimum of a stochastic process

Francesco Mori, Satya N. Majumdar, Gregory Schehr

We present an exact solution for the probability density function of the time-difference between the minimum and the maximum of a one-dimensional Brownia…

cond-mat.stat-mech2019★ 4 cited

Asymptotic behavior of the length of the longest increasing subsequences of random walks

J. Ricardo G. Mendonça, Hendrik Schawe, Alexander K. Hartmann

We numerically estimate the leading asymptotic behavior of the length of the longest increasing subsequence of random walks with step increments following Student's -dis…

cond-mat.stat-mech2019★ 9 cited

When random walkers help solving intriguing integrals

S. N. Majumdar, E. Trizac

We revisit a family of integrals that delude intuition, and that recently appeared in mathematical literature in connection with computer algebra package verification. We show that…

cond-mat.stat-mech2019★ 14 cited

Smoluchowski flux and Lamb-Lion Problems for Random Walks and Lévy Flights with a Constant Drift

Satya N. Majumdar, Philippe Mounaix, Gregory Schehr

We consider non-interacting particles (or lions) performing one-dimensional random walks or Lévy flights (with Lévy index ) in the presence of a constant drift . In…

cond-mat.stat-mech2019★ 21 cited

Non-crossing Brownian paths and Dyson Brownian motion under a moving boundary

Tristan Gautié, Pierre Le Doussal, Satya N. Majumdar +1

We compute analytically the probability that a set of Brownian paths do not cross each other and stay below a moving boundary up to time . We show th…

cond-mat.stat-mech2019★ 29 cited

Ballistic transport and boundary resistances in inhomogeneous quantum spin chains

Alberto Biella, Mario Collura, Davide Rossini +2

Transport phenomena are central to physics, and transport in the many-body and fully-quantum regime is attracting an increasing amount of attention. It has been recently revealed t…

cond-mat.stat-mech2019★ 35 cited

Intermediate deviation regime for the full eigenvalue statistics in the complex Ginibre ensemble

Bertrand Lacroix-A-Chez-Toine, Jeyson Andres Monroy Garzon, Christopher Sebastian Hidalgo Calva +4

We study the Ginibre ensemble of complex random matrices and compute exactly, for any finite , the full distribution as well as all the cumulants of the number $N_r…

cond-mat.stat-mech2019★ 65 cited

Non-crossing run-and-tumble particles on a line

Pierre Le Doussal, Satya N. Majumdar, Gregory Schehr

We study active particles performing independent run and tumble motion on an infinite line with velocities , where is a dichotomous telegraphic noise with…

cond-mat.stat-mech2019★ 6 cited

Distribution of Brownian coincidences

Alexandre Krajenbrink, Bertrand Lacroix-A-Chez-Toine, Pierre Le Doussal

We study the probability distribution, , of the coincidence time , i.e. the total local time of all pairwise coincidences of independent Brownian walkers. We conside…

cond-mat.stat-mech2019★ 27 cited

Transient magnetic domain wall AC dynamics by means of MOKE microscopy

Pablo Domenichini, Cintia Quinteros, Mara Granada +6

The domain wall response under constant external magnetic fields reveals a complex behavior where sample disorder plays a key role. Furthermore, the response to alternating magneti…

cond-mat.stat-mech2019★ 28 cited

Fluctuation-dominated phase ordering at a mixed order transition

Mustansir Barma, Satya N. Majumdar, David Mukamel

Mixed order transitions are those which show a discontinuity of the order parameter as well as a divergent correlation length. We show that the behaviour of the order parameter cor…

cond-mat.stat-mech2019★ 69 cited

Perspective: Gardner Physics in Amorphous Solids and Beyond

Ludovic Berthier, Giulio Biroli, Patrick Charbonneau +3

One of the most remarkable predictions to emerge out of the exact infinite-dimensional solution of the glass problem is the Gardner transition. Although this transition was first t…

cond-mat.stat-mech2019★ 13 cited

Seismic-like organization of avalanches in a driven long-range elastic string as a paradigm of brittle cracks

Jonathan Barés, Daniel Bonamy, Alberto Rosso

Very often damage and fracture in heterogeneous materials exhibit bursty dynamics made of successive impulse-like events which form characteristic aftershock sequences obeying spec…

cond-mat.stat-mech2019★ 35 cited

Anderson-like localization transition of random walks with resetting

Denis Boyer, Andrea Falcón-Cortés, Luca Giuggioli +1

We study several lattice random walk models with stochastic resetting to previously visited sites which exhibit a phase transition between an anomalous diffusive regime and a local…