Heat flow in a periodically forced, thermostatted chain
T Komorowski, JL Lebowitz, S Olla - Communications in Mathematical …, 2023 - Springer
We investigate the properties of a harmonic chain in contact with a thermal bath at one end
and subjected, at its other end, to a periodic force. The particles also undergo a random …
and subjected, at its other end, to a periodic force. The particles also undergo a random …
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 …
Fourier's law from a chain of coupled planar harmonic oscillators under energy-conserving noise
GT Landi, MJ de Oliveira - Physical Review E, 2014 - APS
We study the transport of heat along a chain of particles interacting through a harmonic
potential and subject to heat reservoirs at its ends. Each particle has two degrees of freedom …
potential and subject to heat reservoirs at its ends. Each particle has two degrees of freedom …
Anomalous diffusion for a class of systems with two conserved quantities
C Bernardin, G Stoltz - Nonlinearity, 2012 - iopscience.iop.org
We introduce a class of one-dimensional deterministic models of energy–volume conserving
interfaces. Numerical simulations show that these dynamics are genuinely super-diffusive …
interfaces. Numerical simulations show that these dynamics are genuinely super-diffusive …
Nonequilibrium two-dimensional Ising model with stationary uphill diffusion
Usually, in a nonequilibrium setting, a current brings mass from the highest density regions
to the lowest density ones. Although rare, the opposite phenomenon (known as “uphill …
to the lowest density ones. Although rare, the opposite phenomenon (known as “uphill …
Thermal conductivity in harmonic lattices with random collisions
G Basile, C Bernardin, M Jara, T Komorowski… - Thermal transport in low …, 2016 - Springer
We review recent rigorous mathematical results about the macroscopic behaviour of
harmonic chains with the dynamics perturbed by a random exchange of velocities between …
harmonic chains with the dynamics perturbed by a random exchange of velocities between …
On the behaviour of a periodically forced and thermostatted harmonic chain
PL Garrido, T Komorowski, JL Lebowitz… - Journal of Statistical …, 2024 - Springer
We consider a chain consisting of n+ 1 harmonic oscillators subjected on the right to a time
dependent periodic force F (t) while Langevin thermostats are attached at both endpoints of …
dependent periodic force F (t) while Langevin thermostats are attached at both endpoints of …
Large deviations in stochastic heat-conduction processes provide a gradient-flow structure for heat conduction
We consider three one-dimensional continuous-time Markov processes on a lattice, each of
which models the conduction of heat: the family of Brownian Energy Processes with …
which models the conduction of heat: the family of Brownian Energy Processes with …
Hydrodynamic limit for a Hamiltonian system with boundary conditions and conservative noise
N Braxmeier-Even, S Olla - Archive for Rational Mechanics and Analysis, 2014 - Springer
We study the hyperbolic scaling limit for a chain of N coupled anharmonic oscillators. The
chain is attached to a point on the left and there is a force (tension) τ acting on the right. In …
chain is attached to a point on the left and there is a force (tension) τ acting on the right. In …
Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions
C Bernardin, P Gonçalves - Communications in Mathematical Physics, 2014 - Springer
Anomalous Fluctuations for a Perturbed Hamiltonian System with Exponential Interactions
Page 1 Digital Object Identifier (DOI) 10.1007/s00220-013-1860-5 Commun. Math. Phys. 325 …
Page 1 Digital Object Identifier (DOI) 10.1007/s00220-013-1860-5 Commun. Math. Phys. 325 …