Anomalous heat transport in one dimensional systems: a description using non-local fractional-type diffusion equation

A Dhar, A Kundu, A Kundu - Frontiers in Physics, 2019 - frontiersin.org
It has been observed in many numerical simulations, experiments and from various
theoretical treatments that heat transport in one-dimensional systems of interacting particles …

Fibonacci family of dynamical universality classes

V Popkov, A Schadschneider… - Proceedings of the …, 2015 - National Acad Sciences
Universality is a well-established central concept of equilibrium physics. However, in
systems far away from equilibrium, a deeper understanding of its underlying principles is still …

Family-Vicsek scaling of roughness growth in a strongly interacting Bose gas

K Fujimoto, R Hamazaki, Y Kawaguchi - Physical Review Letters, 2020 - APS
Family-Vicsek scaling is one of the most essential scale-invariant laws emerging in surface-
roughness growth of classical systems. In this Letter, we theoretically elucidate the …

Fluctuating hydrodynamics approach to equilibrium time correlations for anharmonic chains

H Spohn - Thermal Transport in Low Dimensions: From Statistical …, 2016 - Springer
Linear fluctuating hydrodynamics is a useful and versatile tool for describing fluids, as well
as other systems with conserved fields, on a mesoscopic scale. In one spatial dimension …

Dynamic scaling relation in quantum many-body systems

DS Bhakuni, YB Lev - Physical Review B, 2024 - APS
In delocalized systems, particle number fluctuations, also known as quantum surface
roughness, and the mean-square displacement exhibit a temporal power law growth …

Transport in quantum chains under strong monitoring

D Bernard, T **, O Shpielberg - Europhysics Letters, 2018 - iopscience.iop.org
We study the transport properties of quantum 1D systems under strong monitoring. The
quantum Zeno effect inhibits transport and induces localization. Beyond the Zeno freezing …

From abc to kpz

G Cannizzaro, P Gonçalves, R Misturini… - Probability Theory and …, 2024 - Springer
We study the equilibrium fluctuations of an interacting particle system evolving on the
discrete ring with\(N\in {\mathbb {N}}\) points, denoted by\({\mathbb {T}} _N\), and with three …

Equilibration of sinusoidal modulation of temperature in linear and nonlinear chains

EA Korznikova, VA Kuzkin, AM Krivtsov, D ** onto the Kardar-Parisi-Zhang universality class
M Kulkarni, DA Huse, H Spohn - Physical Review A, 2015 - APS
We show that several aspects of the low-temperature hydrodynamics of a discrete Gross-
Pitaevskii equation (GPE) can be understood by map** it to a nonlinear version of …

Equilibrium dynamical correlations in the Toda chain and other integrable models

A Kundu, A Dhar - Physical Review E, 2016 - APS
We investigate the form of equilibrium spatiotemporal correlation functions of conserved
quantities in the Toda lattice and in other integrable models. From numerical simulations we …