Related Experiment Video
Updated: Apr 24, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and its upper critical dimension
S G Alves1, T J Oliveira1, S C Ferreira1
1Departamento de Física, Universidade Federal de Viçosa, 36570-000, Viçosa, MG, Brazil.
Abstract:
We show that the theoretical machinery developed for the Kardar-Parisi-Zhang (KPZ) class in low dimensions is obeyed by the restricted solid-on-solid model for substrates with dimensions up to d=6. Analyzing different restriction conditions, we show that the height distributions of the interface are universal for all investigated dimensions. It means that fluctuations are not negligible and, consequently, the system is still below the upper critical dimension at d=6. The extrapolation of the data to dimensions d≥7 predicts that the upper critical dimension of the KPZ class is infinite.
Related Concept Videos
Dimensionless Groups in Fluid Mechanics
The Buckingham Pi Theorem
Dimensional Analysis
Dimensional analysis allows us to analyze and compare physical quantities on a...
Dimensional Analysis
Conversion Factors and Dimensional Analysis
The unit...
Dimensional Analysis
Space-Time Curvature and the General Theory of Relativity
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...

