Airy distribution: Experiment, large deviations, and additional statistics

Autor: Tal Agranov, Pini Zilber, Naftali R. Smith, Tamir Admon, Yael Roichman, Baruch Meerson

Publikováno v: Physical Review Research, Vol 2, Iss 1, p 013174 (2020)

The Airy distribution (AD) describes the probability distribution of the area under a Brownian excursion. The AD is prominent in several areas of physics, mathematics, and computer science. Here we use a dilute colloidal system to directly measure th

Externí odkaz: https://doaj.org/article/312db3cd182745bea8293256c36d26bd

Exact position distribution of a harmonically confined run-and-tumble particle in two dimensions

Autor: Naftali R. Smith, Pierre Le Doussal, Satya N. Majumdar, Grégory Schehr

Publikováno v: Physical review. E. 106(5-1)

We consider an overdamped run-and-tumble particle in two dimensions, with self propulsion in an orientation that stochastically rotates by 90 degrees at a constant rate, clockwise or counter-clockwise with equal probabilities. In addition, the partic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f9d94e02fe36f2071ae81a9d02add67
https://pubmed.ncbi.nlm.nih.gov/36559430

Inverse Scattering Method Solves the Problem of Full Statistics of Nonstationary Heat Transfer in the Kipnis-Marchioro-Presutti Model

Autor: Eldad Bettelheim, Naftali R. Smith, Baruch Meerson

Publikováno v: Physical Review Letters. 128

We determine the full statistics of nonstationary heat transfer in the Kipnis-Marchioro-Presutti lattice gas model at long times by uncovering and exploiting complete integrability of the underlying equations of the macroscopic fluctuation theory. Th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e778d03cfb137be397853a92544383a
https://doi.org/10.1103/physrevlett.128.130602

Kernels for non interacting fermions via a Green’s function approach with applications to step potentials

Autor: Naftali R. Smith, David S. Dean, Pierre Le Doussal, Satya N. Majumdar, Grégory Schehr

Publikováno v: Journal of Physics A: Mathematical and Theoretical
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2021, 54 (8), pp.084001. ⟨10.1088/1751-8121/abd9ef⟩

The quantum correlations of $N$ noninteracting spinless fermions in their ground state can be expressed in terms of a two-point function called the kernel. Here we develop a general and compact method for computing the kernel in a general trapping po

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7e8e9f9a148def8762533ed84cdcf8c
https://hal.archives-ouvertes.fr/hal-03177657

Noninteracting trapped Fermions in double-well potentials: inverted parabola kernel

Autor: Naftali R. Smith, Pierre Le Doussal, David S. Dean, Satya N. Majumdar, Grégory Schehr

Publikováno v: Phys.Rev.A
Phys.Rev.A, 2020, 101 (5), pp.053602. ⟨10.1103/PhysRevA.101.053602⟩

We study a system of $N$ noninteracting spinless fermions in a confining, double-well potential in one dimension. When the Fermi energy is close to the value of the potential at its local maximum we show that physical properties, such as the average

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44fe08602780f5b299d844438c948afc
http://arxiv.org/abs/2001.11706