Anomalous heat transport in classical many-body systems: Overview and perspectives
In this review paper we survey recent achievements in anomalous heat diffusion, while
highlighting open problems and research perspectives. First, we briefly recall the main …
highlighting open problems and research perspectives. First, we briefly recall the main …
Nonlinear fluctuating hydrodynamics for anharmonic chains
H Spohn - Journal of Statistical Physics, 2014 - Springer
With focus on anharmonic chains, we develop a nonlinear version of fluctuating
hydrodynamics, in which the Euler currents are kept to second order in the deviations from …
hydrodynamics, in which the Euler currents are kept to second order in the deviations from …
Anomalous heat transport in one dimensional systems: a description using non-local fractional-type diffusion equation
It has been observed in many numerical simulations, experiments and from various
theoretical treatments that heat transport in one-dimensional systems of interacting particles …
theoretical treatments that heat transport in one-dimensional systems of interacting particles …
Nonlinear fluctuating hydrodynamics in one dimension: the case of two conserved fields
We study the BS model, which is a one-dimensional lattice field theory taking real values. Its
dynamics is governed by coupled differential equations plus random nearest neighbor …
dynamics is governed by coupled differential equations plus random nearest neighbor …
Characterization of a class of weak transport-entropy inequalities on the line
We study an weak transport cost related to the notion of convex order between probability
measures. On the real line, we show that this weak transport cost is reached for a coupling …
measures. On the real line, we show that this weak transport cost is reached for a coupling …
Equilibrium time-correlation functions for one-dimensional hard-point systems
As recently proposed, the long-time behavior of equilibrium time-correlation functions for
one-dimensional systems are expected to be captured by a nonlinear extension of …
one-dimensional systems are expected to be captured by a nonlinear extension of …
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 …
discrete ring with\(N\in {\mathbb {N}}\) points, denoted by\({\mathbb {T}} _N\), and with three …
Derivation of anomalous behavior from interacting oscillators in the high-temperature regime
P Gonçalves, K Hayashi - Communications in Mathematical Physics, 2023 - Springer
A microscopic model of interacting oscillators, which admits two conserved quantities,
volume, and energy, is investigated. We begin with a system driven by a general nonlinear …
volume, and energy, is investigated. We begin with a system driven by a general nonlinear …
Coupled Kardar-Parisi-Zhang equations in one dimension
PL Ferrari, T Sasamoto, H Spohn - Journal of Statistical Physics, 2013 - Springer
Over the past years our understanding of the scaling properties of the solutions to the one-
dimensional KPZ equation has advanced considerably, both theoretically and …
dimensional KPZ equation has advanced considerably, both theoretically and …
Fractional equation description of an open anomalous heat conduction set-up
We provide a stochastic fractional diffusion equation description of energy transport through
a finite one-dimensional chain of harmonic oscillators with stochastic momentum exchange …
a finite one-dimensional chain of harmonic oscillators with stochastic momentum exchange …