Numerical study of the thermodynamic uncertainty relation for the KPZ-equation

DOI10.1007/S10955-020-02692-ZzbMath1460.82020arXiv2009.12126OpenAlexW3088203201MaRDI QIDQ2227188

Udo Seifert, Oliver Niggemann

Publication date: 10 February 2021

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.12126

zbMATH Keywords

direct numerical simulationKardar-Parisi-Zhang equationnon-equilibrium dynamicsthermodynamic uncertainty relationnumerical treatment of field theory

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) PDEs in connection with statistical mechanics (35Q82) Finite difference methods applied to problems in statistical mechanics (82M20)

Related Items (3)

The two scaling regimes of the thermodynamic uncertainty relation for the KPZ-equation ⋮ The nonequilibrium potential today: a short review ⋮ Quality of the thermodynamic uncertainty relation for fast and slow driving

Cites Work

• Unnamed Item
• Approximations to the stochastic Burgers equation
• Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence
• Exact height distributions for the KPZ equation with narrow wedge initial condition
• Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation
• A KPZ cocktail-shaken, not stirred\dots: Toasting 30 years of kinetically roughened surfaces
• Exact scaling functions for one-dimensional stationary KPZ growth
• Spectral and finite difference solutions of the Burgers equations
• Transient growth in stochastic Burgers flows
• Numerical integration of stochastic differential equations.
• Field-theoretic thermodynamic uncertainty relation. General formulation exemplified with the Kardar-Parisi-Zhang equation
• An appetizer to modern developments on the Kardar-Parisi-Zhang universality class
• Stochastic thermodynamics: from principles to the cost of precision
• Space-time discrete KPZ equation
• Critical exponents of the KPZ equation via multi-surface coding numerical simulations
• Full discretization of the stochastic Burgers equation with correlated noise
• Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
• Dynamic Scaling of Growing Interfaces
• Nonequilibrium steady state of a weakly-driven Kardar–Parisi–Zhang equation
• Some recent progress in singular stochastic partial differential equations
• The 1  +  1 dimensional Kardar–Parisi–Zhang equation: more surprises
• Inferring dissipation from current fluctuations
• The 1D Kardar–Parisi–Zhang equation: Height distribution and universality

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