Kardar-Parisi-Zhang equation in a half space with flat initial condition and the unbinding of a directed polymer from an attractive wall

G Barraquand, P Le Doussal - Physical Review E, 2021 - APS
We present an exact solution for the height distribution of the KPZ equation at any time t in a
half space with flat initial condition. This is equivalent to obtaining the free-energy …

Defect versus defect: Stationary states of single-file marching in periodic landscapes with road blocks

A Goswami, R Chatterjee, S Mukherjee - Physical Review E, 2024 - APS
Totally asymmetric simple exclusion process (TASEP) sets the paradigm for one-
dimensional driven single-file motion. We study a periodic TASEP with two road blocks or …

Tilted elastic lines with columnar and point disorder, non-Hermitian quantum mechanics, and spiked random matrices: Pinning and localization

A Krajenbrink, P Le Doussal, N O'Connell - Physical Review E, 2021 - APS
We revisit the problem of an elastic line (such as a vortex line in a superconductor) subject to
both columnar disorder and point disorder in dimension d= 1+ 1. Upon applying a …

Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle

SP Lukyanets, OV Kliushnichenko - Physical Review E, 2024 - APS
We consider a nonequilibrium transition that leads to the formation of nonlinear steady-state
structures due to the gas flow scattering on a partially penetrable obstacle. The resulting …

Particle creation and annihilation in a dynamically disordered totally asymmetric simple exclusion process

S Garg, I Dhiman - Physical Review E, 2021 - APS
We study a single-channel dynamically disordered totally asymmetric simple exclusion
process with bulk particle attachment and detachment. The continuum mean-field equations …

Jamming and condensation in one-dimensional driven flow

H Soh, M Ha, H Jeong - Physical Review E, 2018 - APS
We revisit the slow-bond (SB) problem of the one-dimensional (1D) totally asymmetric
simple exclusion process (TASEP) with modified hop** rates. In the original SB problem, it …

Nonequilibrium protection effect and spatial localization of noise-induced fluctuations under gas flow scattering on partially penetrable obstacle

SP Lukyanets, OV Kliushnichenko - Low Temperature Physics, 2025 - pubs.aip.org
The main problem considered here is how the obstacle embedded in a gas flow can
organize self-protection, by means of surrounding gas, against the gas flow and fluctuations …

Passive tracer dynamics in slow-bond problem

H Soh, M Ha - Journal of Statistical Mechanics: Theory and …, 2019 - iopscience.iop.org
Abstract Asymptotic Kardar–Parisi–Zhang (KPZ) properties are investigated in the totally
asymmetric simple exclusion process (TASEP) with a localized geometric defect. In …

Role of Localized Defect in 1D Driven Diffusive Flow

M Ha - New Trends in Nonequilibrium Statistical Mechanics … - nesmcq18.sciencesconf.org
We study asymptotic properties in the totally asymmetric simple exclusion process (TASEP)
with a localized defect, where we focus on the universal nature of nonequilibrium steady …