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19992026
most citedThe one-dimensional KPZ equation: an exact solution and its universality

457 citations · 3.8k across the 61 of their papers we have counts for

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cond-mat.stat-mech2022★ 49 cited

Emergence of hydrodynamic spatial long-range correlations in nonequilibrium many-body systems

Benjamin Doyon, Gabriele Perfetto, Tomohiro Sasamoto +1

At large scales of space and time, the nonequilibrium dynamics of local observables in extensive many-body systems is well described by hydrodynamics. At the Euler scale, one assum…

cond-mat.stat-mech2022★ 59 cited

Ballistic macroscopic fluctuation theory

Benjamin Doyon, Gabriele Perfetto, Tomohiro Sasamoto +1

We introduce a new universal framework describing fluctuations and correlations in quantum and classical many-body systems, at the Euler hydrodynamic scale of space and time. The f…

cond-mat.stat-mech2022★ 84 cited

Exact solution of the macroscopic fluctuation theory for the symmetric exclusion process

Kirone Mallick, Hiroki Moriya, Tomohiro Sasamoto

We present the first exact solution for the time dependent equations of the macroscopic fluctuation theory (MFT) for the symmetric simple exclusion process by combining a generaliz…

cond-mat.stat-mech2021★ 4 cited

Exact solution for the Lindbladian dynamics for the open XX spin chain with boundary dissipation

Kohei Yamanaka, Tomohiro Sasamoto

We obtain exact formulas for the time-dependence of a few physical observables for the open XX spin chain with Lindbladian dynamics. Our analysis is based on the fact that the Lind…

cond-mat.stat-mech2019★ 5 cited

Dynamics of Open Tight-binding Model

Takahisa Fukadai, Tomohiro Sasamoto

In this paper, we investigate the open tight-binding model with sites coupled to two reservoirs on its edges with the nonequilibrium Green function method to understand effects…

cond-mat.stat-mech2019★ 26 cited

Exact large deviation function of spin current for the one dimensional XX spin chain with domain wall initial condition

H. Moriya, R. Nagao, T. Sasamoto

We investigate the fluctuations of the spin current for the one dimensional XX spin chain starting from the domain wall initial condition. The generating function of the current is…

cond-mat.stat-mech2018★ 34 cited

Exact confirmation of 1D nonlinear fluctuating hydrodynamics for a two-species exclusion process

Zeying Chen, Jan de Gier, Iori Hiki +1

We consider current statistics for a two species exclusion process of particles hopping in opposite directions on a one-dimensional lattice. We derive an exact formula for the Gree…

cond-mat.stat-mech2017★ 56 cited

Large deviations of a tracer in the symmetric exclusion process

T. Imamura, K. Mallick, T. Sasamoto

The one-dimensional symmetric exclusion process, the simplest interacting particle process, is a lattice-gas made of particles that hop symmetrically on a discrete line respecting…

cond-mat.stat-mech2013★ 47 cited

Coupled Kardar-Parisi-Zhang Equations in One Dimension

Patrik L. Ferrari, Tomohiro Sasamoto, Herbert Spohn

Over the past years our understanding of the scaling properties of the solutions to the one-dimensional KPZ equation has advanced considerably, both theoretically and experimentall…

cond-mat.stat-mech2013★ 25 cited

On the equal time two-point distribution of the one-dimensional KPZ equation by replica

T. Imamura, T. Sasamoto, H. Spohn

In a recent contribution, Dotsenko establishes a Fredholm determinant formula for the two-point distribution of the KPZ equation in the long time limit and starting from narrow wed…

cond-mat.stat-mech2012★ 98 cited

Stationary correlations for the 1D KPZ equation

Takashi Imamura, Tomohiro Sasamoto

We study exact stationary properties of the one-dimensional Kardar-Parisi-Zhang (KPZ) equation by using the replica approach. The stationary state for the KPZ equation is realized…

cond-mat.stat-mech2012★ 6 cited

Combinatorics of the asymmetric exclusion process on a semi-infinite lattice

Tomohiro Sasamoto, Lauren Williams

We study two versions of the asymmetric exclusion process (ASEP) -- an ASEP on a semi-infinite lattice with an open left boundary, and an ASEP on a finite lattice with open left an…

cond-mat.stat-mech2011

A systematic way to find and construct exact finite dimensional matrix product stationary states

Yasuhiro Hieida, Tomohiro Sasamoto

We explain how to construct matrix product stationary states which are composed of finite-dimensional matrices. Our construction explained in this article was first presented in a…

cond-mat.stat-mech2011★ 154 cited

Exact solution for the stationary Kardar-Parisi-Zhang equation

Takashi Imamura, Tomohiro Sasamoto

We obtain the first exact solution for the stationary one-dimensional Kardar-Parisi-Zhang equation. A formula for the distribution of the height is given in terms of a Fredholm det…

cond-mat.stat-mech2011★ 300 cited

Growing interfaces uncover universal fluctuations behind scale invariance

Kazumasa A. Takeuchi, Masaki Sano, Tomohiro Sasamoto +1

Stochastic motion of a point -- known as Brownian motion -- has many successful applications in science, thanks to its scale invariance and consequent universal features such as Ga…

cond-mat.stat-mech2011★ 29 cited

Replica approach to the KPZ equation with half Brownian motion initial condition

Takashi Imamura, Tomohiro Sasamoto

We consider the one-dimensional Kardar-Parisi-Zhang (KPZ) equation with half Brownian motion initial condition, studied previously through the weakly asymmetric simple exclusion pr…

cond-mat.stat-mech2010★ 41 cited

Current moments of 1D ASEP by duality

Takashi Imamura, Tomohiro Sasamoto

We consider the exponential moments of integrated currents of 1D asymmetric simple exclusion process using the duality found by Schütz. For the ASEP on the infinite lattice we show…

cond-mat.stat-mech2010★ 80 cited

The 1+1-dimensional Kardar-Parisi-Zhang equation and its universality class

Tomohiro Sasamoto, Herbert Spohn

We explain the exact solution of the 1+1 dimensional Kardar-Parisi-Zhang equation with sharp wedge initial conditions. Thereby it is confirmed that the continuum model belongs to t…

cond-mat.stat-mech2010★ 214 cited

Exact height distributions for the KPZ equation with narrow wedge initial condition

Tomohiro Sasamoto, Herbert Spohn

We consider the KPZ equation in one space dimension with narrow wedge initial condition, , . Based on previous results for the weakly asymmetric simple ex…

cond-mat.stat-mech2010★ 457 cited

The one-dimensional KPZ equation: an exact solution and its universality

Tomohiro Sasamoto, Herbert Spohn

We report on the first exact solution of the KPZ equation in one dimension, with an initial condition which physically corresponds to the motion of a macroscopically curved height…

cond-mat.stat-mech2010★ 102 cited

The crossover regime for the weakly asymmetric simple exclusion process

Tomohiro Sasamoto, Herbert Spohn

We consider the asymmetric simple exclusion process in one dimension with weak asymmetry (WASEP) and 0-1 step initial condition. Our interest are the fluctuations of the time-integ…

cond-mat.stat-mech2007★ 93 cited

Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques

T. Sasamoto

The studies of fluctuations of the one-dimensional Kardar-Parisi-Zhang universality class using the techniques from random matrix theory are reviewed from the point of view of the…

cond-mat.stat-mech2005★ 207 cited

Spatial correlations of the 1D KPZ surface on a flat substrate

T. Sasamoto

We study the spatial correlations of the one-dimensional KPZ surface for the flat initial condition. It is shown that the multi-point joint distribution for the height is given by…

cond-mat.stat-mech2004★ 63 cited

Asymmetric Simple Exclusion Process and Modified Random Matrix Ensembles

Taro Nagao, Tomohiro Sasamoto

We study the fluctuation properties of the asymmetric simple exclusion process (ASEP) on an infinite one-dimensional lattice. When particles are initially situated in the negat…