Rayleigh instability in quantum fluids

• Grant number: 25/03200-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2025
• End date: December 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Physics - Atomic and Molecular Physics
• Principal Investigator: Arnaldo Gammal
• Grantee: Erick Sutto Costa
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 24/01533-7 - Dynamics of many-body systems V, AP.TEM

Abstract

We will study the concepts of instability in both classical fluids and in quantum fluids. In particular, we will focus the study onRayleigh-Taylor instability (RTI). We will carry out analytical preliminary studies. Later, we will do numerical calculations for mixingquantum fluids. We will develop a numerical algorithm to solve the Gross-Pitaevskii (GP) equation and for one species and thenwe will apply it to a mixture. We will look for conditions to reproducethe RTI. In the future, we may consider applying our methods todifferent types of interactions.