Numerical study of the thermodynamic uncertainty relation for the KPZ-equation
- Resource Type
- Authors
- Oliver Niggemann; Udo Seifert
- Source
- Subject
- Coupling
Statistical Mechanics (cond-mat.stat-mech)
Relation (database)
Discretization
Direct numerical simulation
FOS: Physical sciences
Statistical and Nonlinear Physics
01 natural sciences
010305 fluids & plasmas
Kardar–Parisi–Zhang equation
0103 physical sciences
Condensed Matter::Statistical Mechanics
Limit (mathematics)
Statistical physics
Total entropy
010306 general physics
Condensed Matter - Statistical Mechanics
Mathematical Physics
Mathematics
- Language
- English
A general framework for the field-theoretic thermodynamic uncertainty relation was recently proposed and illustrated with the (1+1) dimensional Kardar-Parisi-Zhang equation. In the present paper, the analytical results obtained there in the weak coupling limit are tested via a direct numerical simulation of the KPZ equation with good agreement. The accuracy of the numerical results varies with the respective choice of discretization of the KPZ non-linearity. Whereas the numerical simulations strongly support the analytical predictions, an inherent limitation to the accuracy of the approximation to the total entropy production is found. In an analytical treatment of a generalized discretization of the KPZ non-linearity, the origin of this limitation is explained and shown to be an intrinsic property of the employed discretization scheme.
Projekt DEAL