171 citations · 171 across the 2 of their papers we have counts for
5 papers
Absolute continuity of projected SRB measures of coupled Arnold cat map lattices
F. Bonetto, A. Kupiainen, J. Lebowitz
We study a d-dimensional coupled map lattice consisting of hyperbolic toral automorphisms (Arnold cat maps) that are weakly coupled by an analytic coupling map. We construct the Si…
Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
Federico Bonetto, Joel L. Lebowitz, Jani Lukkarinen
We consider a d-dimensional harmonic crystal in contact with a stochastic Langevin type heat bath at each site. The temperatures of the "exterior" left and right heat baths are at…
Properties of Stationary Nonequilibrium States in the Thermostatted Periodic Lorentz Gas II: The many point particles system
F. Bonetto, D. Daems, J. L. Lebowitz +1
We study the stationary nonequilibrium states of N point particles moving under the influence of an electric field E among fixed obstacles (discs) in a two dimensional torus. The t…
Fourier's Law: a Challenge for Theorists
F. Bonetto, J. L. Lebowitz, L. Rey-Bellet
We present a selective overview of the current state of our knowledge (more precisely of ourignorance) regarding the derivation of Fourier's Law, ${\bf J}(\br) =-κ{\bf \nabla}T(\br…
On the Validity of the Conjugate Pairing Rule for Lyapunov Exponents
F. Bonetto, E. G. D. Cohen, C. Pugh
For Hamiltonian systems subject to an external potential, which in the presence of a thermostat will reach a nonequilibrium stationary state, Dettmann and Morriss proved a strong c…