10 citations · 34 across the 7 of their papers we have counts for
7 papers · 1 filter
Dynamical phase transition for a logarithm observable in chaotic systems
Lucianno Defaveri, Naftali R. Smith
We consider the full distribution of the dynamical observable where is a sequence generated by a chaotic map via $x_{…
Nonequilibrium steady state of Brownian motion in an intermittent potential
Soheli Mukherjee, Naftali R. Smith
We calculate the steady state distribution of the position of a Brownian particle under an intermittent confining potential that switches on and of…
Full distribution of the ground-state energy of potentials with weak disorder
Naftali R. Smith
We study the full distribution of the ground-state energy of a single quantum particle in a potential $V(\boldsymbol{x}) = V_0(\boldsymbol{x}) + \sqrtε \, v_1(\boldsymbol{x}…
Large deviations in statistics of the local time and occupation time for a run and tumble particle
Soheli Mukherjee, Pierre Le Doussal, Naftali R. Smith
We investigate the statistics of the local time that a run and tumble particle (RTP) in one dimension spends at the origin, with or witho…
Optimal finite-differences discretization for the diffusion equation from the perspective of large-deviation theory
Naftali R. Smith
When applying the finite-differences method to numerically solve the one-dimensional diffusion equation, one must choose discretization steps , in space and time, respecti…
Anomalous scalings of fluctuations of the area swept by a Brownian particle trapped in a potential
Naftali R. Smith
We study the fluctuations of the area under a one-dimensional Brownian motion in a trapping potential , at long times . We find th…
Large deviations in statistics of the convex hull of passive and active particles: A theoretical study
Soheli Mukherjee, Naftali R. Smith
We investigate analytically the distribution tails of the area A and perimeter L of a convex hull for different types of planar random walks. For N noninteracting Brownian motions…