Quantifying brain microstructure with diffusion MRI: Theory and parameter estimation

DS Novikov, E Fieremans, SN Jespersen… - NMR in …, 2019‏ - Wiley Online Library
We review, systematize and discuss models of diffusion in neuronal tissue, by putting them
into an overarching physical context of coarse‐graining over an increasing diffusion length …

[کتاب][B] Holographic quantum matter

SA Hartnoll, A Lucas, S Sachdev - 2018‏ - books.google.com
A comprehensive overview of holographic methods in quantum matter, written by pioneers
in the field. This book, written by pioneers in the field, offers a comprehensive overview of …

Superdiffusion in spin chains

VB Bulchandani, S Gopalakrishnan… - Journal of Statistical …, 2021‏ - iopscience.iop.org
This review summarizes recent advances in our understanding of anomalous transport in
spin chains, viewed through the lens of integrability. Numerical advances, based on tensor …

Revealing mesoscopic structural universality with diffusion

DS Novikov, JH Jensen, JA Helpern… - Proceedings of the …, 2014‏ - pnas.org
Measuring molecular diffusion is widely used for characterizing materials and living
organisms noninvasively. This characterization relies on relations between macroscopic …

Generalized hydrodynamics: a perspective

B Doyon, S Gopalakrishnan, F Møller, J Schmiedmayer… - Physical Review X, 2025‏ - APS
Conventional hydrodynamics describes systems with few long-lived excitations. In one
dimension, however, many experimentally relevant systems feature a large number of long …

Mesoscopic structure of neuronal tracts from time-dependent diffusion

LM Burcaw, E Fieremans, DS Novikov - NeuroImage, 2015‏ - Elsevier
Interpreting brain diffusion MRI measurements in terms of neuronal structure at a micrometer
level is an exciting unresolved problem. Here we consider diffusion transverse to a bundle of …

Random walks with barriers

DS Novikov, E Fieremans, JH Jensen, JA Helpern - Nature physics, 2011‏ - nature.com
Restrictions to molecular motion by barriers (membranes) are ubiquitous in porous media,
composite materials and biological tissues. A major challenge is to characterize the …

Griffiths effects and slow dynamics in nearly many-body localized systems

S Gopalakrishnan, K Agarwal, EA Demler, DA Huse… - Physical Review B, 2016‏ - APS
The low-frequency response of systems near a many-body localization transition can be
dominated by rare regions that are locally critical or “in the other phase.” It is known that in …

Effective medium theory of a diffusion‐weighted signal

DS Novikov, VG Kiselev - NMR in Biomedicine, 2010‏ - Wiley Online Library
Living tissues and other heterogeneous media generally consist of structural units with
different diffusion coefficients and NMR properties. These blocks, such as cells or clusters of …

Energy transport in disordered classical spin chains

V Oganesyan, A Pal, DA Huse - Physical Review B—Condensed Matter and …, 2009‏ - APS
We present a numerical study of the diffusion of energy at high temperature in strongly
disordered chains of interacting classical spins evolving deterministically. We find that …