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Updated: Jun 3, 2026

Neutron Spin Echo Spectroscopy as a Unique Probe for Lipid Membrane Dynamics and Membrane-Protein Interactions
Published on: May 27, 2021
Consistent thermodynamics for spin echoes
Charis Anastopoulos1, Ntina Savvidou
1Department of Physics, University of Patras, GR-26500 Patras, Greece. anastop@physics.upatras.gr
Spin-echo experiments do not violate the second law of thermodynamics. Accounting for molecular spin and translational motion reveals that entropy remains constant during dephasing and increases during dissipation.
Area of Science:
- Thermodynamics
- Quantum Mechanics
- Statistical Mechanics
Background:
- Spin-echo experiments are often misinterpreted as violating the second law of thermodynamics.
- Previous analyses failed to account for coupled spin and translational molecular dynamics.
Purpose of the Study:
- To provide a thermodynamically consistent explanation for spin-echo experiments.
- To re-evaluate the thermodynamic behavior of spin-echo phenomena by incorporating molecular correlations.
Main Methods:
- Developed an entropy functional based on Boltzmann macrostates.
- Incorporated both spin and translational degrees of freedom into the thermodynamic treatment.
- Analyzed the relationship between quantum mechanical descriptions and thermodynamic macrostates.
Main Results:
- Dephasing in spin echoes is shown to be Hamiltonian evolution, preserving entropy.
- Dissipation processes are identified as the source of entropy increase.
- No phase of entropy decrease was observed during the echo formation.
Conclusions:
- Spin-echo experiments do not exhibit antithermodynamic behavior or violate the second law.
- The decay of net magnetization serves as a reliable indicator of entropy change.
- A comprehensive thermodynamic framework requires consideration of coupled degrees of freedom.
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