TY - JOUR
T1 - Theory of quantum dipole-dipole relaxation of magnetic resonance signal in low-dimensional systems
AU - Sukstanskii, Alexander L.
AU - Yablonskiy, Dmitriy A.
N1 - Publisher Copyright:
© 2025 Author(s).
PY - 2025/8/1
Y1 - 2025/8/1
N2 - The role of quantum dipole-dipole interactions in formation of the magnetic resonance signal is analyzed in two- and one-dimension systems. The theory predicts magnetic field and orientational dependence of spin-lattice (i.e., longitudinal T1) and spin-spin (i.e., transverse T2) relaxation parameters. In contrast to the 3D model, the transverse relaxation in the low-dimensional models cannot be described in terms of a standard R2 = 1/T2 relaxation rate parameter, but by an anisotropic apparent relaxation rate function R2(t) depending on time t after RF excitation. In the main approximation, R2(t, α) ∼ ln t in the 2D model, and R2(t) ∼ t1/2 in the 1D model.
AB - The role of quantum dipole-dipole interactions in formation of the magnetic resonance signal is analyzed in two- and one-dimension systems. The theory predicts magnetic field and orientational dependence of spin-lattice (i.e., longitudinal T1) and spin-spin (i.e., transverse T2) relaxation parameters. In contrast to the 3D model, the transverse relaxation in the low-dimensional models cannot be described in terms of a standard R2 = 1/T2 relaxation rate parameter, but by an anisotropic apparent relaxation rate function R2(t) depending on time t after RF excitation. In the main approximation, R2(t, α) ∼ ln t in the 2D model, and R2(t) ∼ t1/2 in the 1D model.
KW - diffusion
KW - longitudinal relaxation.
KW - low-dimensional system
KW - magnetic resonance imaging
KW - transverse relaxation
UR - https://www.scopus.com/pages/publications/105012541464
U2 - 10.1063/10.0037236
DO - 10.1063/10.0037236
M3 - Article
AN - SCOPUS:105012541464
SN - 1063-777X
VL - 51
SP - 965
EP - 971
JO - Low Temperature Physics
JF - Low Temperature Physics
IS - 8
ER -