[图书][B] Field theory of non-equilibrium systems

A Kamenev - 2023 - books.google.com
The physics of non-equilibrium many-body systems is a rapidly expanding area of
theoretical physics. Traditionally employed in laser physics and superconducting kinetics …

The one-dimensional KPZ equation and its universality class

J Quastel, H Spohn - Journal of Statistical Physics, 2015 - Springer
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Convergence of exclusion processes and the KPZ equation to the KPZ fixed point

J Quastel, S Sarkar - Journal of the American Mathematical Society, 2023 - ams.org
We show that under the 1: 2: 3 scaling, critically probing large space and time, the height
function of finite range asymmetric exclusion processes and the Kardar-Parisi-Zhang (KPZ) …

A KPZ cocktail-shaken, not stirred... toasting 30 years of kinetically roughened surfaces

T Halpin-Healy, KA Takeuchi - Journal of Statistical Physics, 2015 - Springer
The stochastic partial differential equation proposed nearly three decades ago by Kardar,
Parisi and Zhang (KPZ) continues to inspire, intrigue and confound its many admirers. Here …

An appetizer to modern developments on the Kardar–Parisi–Zhang universality class

KA Takeuchi - Physica A: Statistical Mechanics and its Applications, 2018 - Elsevier
Abstract The Kardar–Parisi–Zhang (KPZ) universality class describes a broad range of non-
equilibrium fluctuations, including those of growing interfaces, directed polymers and …

Stationary measures for integrable polymers on a strip

G Barraquand, I Corwin, Z Yang - Inventiones mathematicae, 2024 - Springer
We prove that the stationary measures for the free-energy increment process for the
geometric last passage percolation (LPP) and log-gamma polymer model on a diagonal …

Stochastic higher spin vertex models on the line

I Corwin, L Petrov - Communications in Mathematical Physics, 2016 - Springer
We introduce a four-parameter family of interacting particle systems on the line, which can
be diagonalized explicitly via a complete set of Bethe ansatz eigenfunctions, and which …

Inverse scattering of the Zakharov-Shabat system solves the weak noise theory of the Kardar-Parisi-Zhang equation

A Krajenbrink, P Le Doussal - Physical Review Letters, 2021 - APS
We solve the large deviations of the Kardar-Parisi-Zhang (KPZ) equation in one dimension
at short time by introducing an approach which combines field theoretical, probabilistic, and …

Solvable models in the KPZ class: approach through periodic and free boundary Schur measures

T Imamura, M Mucciconi, T Sasamoto - arXiv preprint arXiv:2204.08420, 2022 - arxiv.org
We explore probabilistic consequences of correspondences between $ q $-Whittaker
measures and periodic and free boundary Schur measures established by the authors in the …

KPZ line ensemble

I Corwin, A Hammond - Probability Theory and Related Fields, 2016 - Springer
For each t ≥ 1 t≥ 1 we construct an N N-indexed ensemble of random continuous curves
with three properties:(1) the lowest indexed curve is distributed as the time t Hopf–Cole …