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Related Concept Videos

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at a distance from a cliff and hears the echo of their voice. The sound waves (longitudinal waves) traveling in the air are reflected from the bounding cliff. Similarly, flipping one end of a string whose other end is tied to a wall causes a pulse (transverse wave) to travel through the string, which gets reflected upon reaching the wall. In...
Spin–Spin Coupling: One-Bond Coupling01:17

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Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
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Spin–Spin Coupling Constant: Overview

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Related Experiment Video

Updated: May 22, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

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.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 17, 2012
PubMed
Summary
This summary is machine-generated.

This study reveals how interacting spins and string oscillators create ripples. Metastable ripples appear in nonequilibrium states, offering insights into graphene sheet dynamics.

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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.