N. R. Smith

activity

20232026

most citedAnomalous scalings of fluctuations of the area swept by a Brownian particle trapped in a

∣ x ∣

potential

10 citations · 34 across the 7 of their papers we have counts for

collaborators

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3 papers · 1 filter

cond-mat.stat-mech2023★ 2 cited

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 $Δ x$ , $Δ t$ in space and time, respecti…

cond-mat.stat-mech2023★ 10 cited

Anomalous scalings of fluctuations of the area swept by a Brownian particle trapped in a $∣ x ∣$ potential

Naftali R. Smith

We study the fluctuations of the area $A = \int_{0}^{T} x (t) d t$ under a one-dimensional Brownian motion $x (t)$ in a trapping potential $\sim ∣ x ∣$ , at long times $T \to \infty$ . We find th…

cond-mat.stat-mech2023★ 6 cited

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…

Optimal finite-differences discretization for the diffusion equation from the perspective of large-deviation theory

Anomalous scalings of fluctuations of the area swept by a Brownian particle trapped in a ∣x∣ potential

Large deviations in statistics of the convex hull of passive and active particles: A theoretical study

Anomalous scalings of fluctuations of the area swept by a Brownian particle trapped in a $∣ x ∣$ potential