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Extreme statistics and spacing distribution in a Brownian gas correlated by resetting
We study a one-dimensional gas of N Brownian particles that diffuse independently, but are
simultaneously reset to the origin at a constant rate r. The system approaches a …
simultaneously reset to the origin at a constant rate r. The system approaches a …
Current fluctuations in stochastically resetting particle systems
We consider a system of noninteracting particles on a line with initial positions distributed
uniformly with density ρ on the negative half-line. We consider two different models:(i) Each …
uniformly with density ρ on the negative half-line. We consider two different models:(i) Each …
Out-of-equilibrium dynamics of repulsive ranked diffusions: The expanding crystal
We study the nonequilibrium Langevin dynamics of N particles in one dimension with
Coulomb repulsive linear interactions. This is a dynamical version of the so-called jellium …
Coulomb repulsive linear interactions. This is a dynamical version of the so-called jellium …
Full counting statistics of 1d short range Riesz gases in confinement
We investigate the full counting statistics of a harmonically confined 1d short range Riesz
gas consisting of N particles in equilibrium at finite temperature. The particles interact with …
gas consisting of N particles in equilibrium at finite temperature. The particles interact with …
Gap probability and full counting statistics in the one-dimensional one-component plasma
We consider the 1d one-component plasma in thermal equilibrium, consisting of N equally
charged particles on a line, with pairwise Coulomb repulsion and confined by an external …
charged particles on a line, with pairwise Coulomb repulsion and confined by an external …
Harmonically confined particles with long-range repulsive interactions
We study an interacting system of N classical particles on a line at thermal equilibrium. The
particles are confined by a harmonic trap and repel each other via pairwise interaction …
particles are confined by a harmonic trap and repel each other via pairwise interaction …
Gap statistics for confined particles with power-law interactions
We consider the N particle classical Riesz gas confined in a one-dimensional external
harmonic potential with power-law interaction of the form 1/rk, where r is the separation …
harmonic potential with power-law interaction of the form 1/rk, where r is the separation …
Intermediate deviation regime for the full eigenvalue statistics in the complex Ginibre ensemble
B Lacroix-A-Chez-Toine, JAM Garzón, CSH Calva… - Physical Review E, 2019 - APS
We study the Ginibre ensemble of N× N complex random matrices and compute exactly, for
any finite N, the full distribution as well as all the cumulants of the number N r of eigenvalues …
any finite N, the full distribution as well as all the cumulants of the number N r of eigenvalues …
Ranked diffusion, delta Bose gas, and Burgers equation
P Le Doussal - Physical Review E, 2022 - APS
We study the diffusion of N particles in one dimension interacting via a drift proportional to
their rank. In the attractive case (self-gravitating gas) a map** to the Lieb-Liniger quantum …
their rank. In the attractive case (self-gravitating gas) a map** to the Lieb-Liniger quantum …
Edge fluctuations and third-order phase transition in harmonically confined long-range systems
We study the distribution of the position of the rightmost particle x max in a N-particle Riesz
gas in one dimension confined in a harmonic trap. The particles interact via long-range …
gas in one dimension confined in a harmonic trap. The particles interact via long-range …