Supporting Material for: Capillary-like Fluctuations of a Solid-Liquid Interface in a Non-Cohesive Granular System

TL;DR

This supplementary paper provides detailed methodologies and analyses supporting the study of capillary-like fluctuations at a solid-liquid interface in a non-cohesive granular system, including interface detection, free energy derivation, and dynamic modeling.

Contribution

It offers detailed methodological insights and validation for analyzing interface fluctuations in granular systems, complementing the main study.

Findings

Validation of small slope approximation

Analysis of granular temperature and energy per mode

Description of Langevin dynamics implementation

Abstract

In this supplementary paper we present some details on the solid-liquid interface detection, the deduction of the non-equilibrium free energy, the analysis of the granular temperature and energy per mode, a validation of the small slope approximation, a description of the Langevin dynamics, and the error analysis.