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Published on: November 11, 2013
Ripples in a string coupled to Glauber spins
L L Bonilla1, A Carpio, A Prados
1G. Millán Institute for Fluid Dynamics, Nanoscience and Industrial Mathematics, Universidad Carlos III de Madrid, 28911 Leganés, Spain.
Summary
This study reveals how interacting spins and string oscillators create ripples. Metastable ripples appear in nonequilibrium states, offering insights into graphene sheet dynamics.
Area of Science:
- Statistical mechanics
- Condensed matter physics
- Soft matter physics
Background:
- Investigating the interplay between local spin dynamics and continuous media.
- Understanding emergent phenomena in driven systems far from equilibrium.
- Exploring models for complex material behaviors like rippling.
Purpose of the Study:
- To model the dynamic interaction between a linear chain oscillator and local Ising spins.
- To analyze the emergence of equilibrium and nonequilibrium rippled states.
- To establish a minimal model for understanding rippling phenomena in materials like graphene.
Main Methods:
- Simulating a system of coupled oscillators and Ising spins.
- Analyzing Glauber dynamics for spin evolution.
- Characterizing equilibrium and metastable states through observation time.
Main Results:
- A critical temperature below which equilibrium rippled states with spin polarization emerge.
- Formation of long-lived, metastable nonequilibrium ripples for slow spin relaxation.
- Observation of ripples irrespective of the final thermodynamic state for moderate times.
Conclusions:
- The model provides a framework for understanding rippling in physical systems.
- Metastable states offer insights into transient material behaviors.
- The system serves as a minimal model for rippling in clamped graphene sheets.
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