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Updated: May 30, 2026

Setting Limits on Supersymmetry Using Simplified Models

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

A mixed basis approach in the SGP-limit.

Matias Nordin¹, Martin Nilsson-Jacobi, Magnus Nydén

¹Applied Surface Chemistry, Department of Chemical and Biological Engineering, Chalmers University of Technology, 41296 Gothenburg, Sweden. matias@chalmers.se

Journal of Magnetic Resonance (San Diego, Calif. : 1997)

|August 2, 2011

Summary

This study introduces a fast perturbation method for estimating echo decay in NMR diffusion experiments. The approach efficiently calculates diffusion operator properties using boundary dipole distributions.

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Area of Science:

Nuclear Magnetic Resonance (NMR) Spectroscopy
Computational Physics
Chemical Physics

Background:

Pulsed spin echo gradient NMR diffusion experiments are crucial for probing molecular motion.
Accurate estimation of echo decay is vital for reliable diffusion coefficient determination.
Existing methods can be computationally intensive, especially in the short gradient pulse limit.

Purpose of the Study:

To develop a computationally efficient perturbation method for estimating echo decay in NMR diffusion experiments.
To provide quick estimates of echo decay in the short gradient pulse limit.
To retrieve approximate eigenvalues and eigenfunctions of the diffusion operator.

Main Methods:

A perturbation method is presented utilizing dipole distributions on boundaries.
A small perturbation matrix is generated in O(s(2)) time, where s is the number of boundary elements.
The method is applied to 1D and 2D systems with Neumann boundary conditions.

Main Results:

The perturbation method successfully computes quick estimates of echo decay.
Approximate eigenvalues and eigenfunctions of the diffusion operator are retrieved.
The method demonstrates efficiency in the short gradient pulse limit.

Conclusions:

The developed perturbation method offers a computationally advantageous approach for NMR diffusion studies.
This technique facilitates rapid estimation of echo decay, aiding in the analysis of molecular diffusion.
The method's applicability to 1D and 2D systems with Neumann boundary conditions broadens its utility.