177 citations · 1.8k across the 103 of their papers we have counts for
10 papers · 1 filter
The existence of Burnett coefficients in the periodic Lorentz gas
N. I. Chernov, C. P. Dettmann
The linear super-Burnett coefficient gives corrections to the diffusion equation in the form of higher derivatives of the density. Like the diffusion coefficient, it can be express…
Hamiltonian for a restricted isoenergetic thermostat
C. P. Dettmann
Nonequilibrium molecular dynamics simulations often use mechanisms called thermostats to regulate the temperature. A Hamiltonian is presented for the case of the isoenergetic (cons…
Spectrum of stochastic evolution operators: Local matrix representation approach
Predrag Cvitanovic, Niels Sondergaard, Gergely Palla +2
A matrix representation of the evolution operator associated with a nonlinear stochastic flow with additive noise is used to compute its spectrum. In the weak noise limit a perturb…
Trace formulas for stochastic evolution operators: Smooth conjugation method
Predrag Cvitanovic, C. P. Dettmann, Ronnie Mainieri +1
The trace formula for the evolution operator associated with nonlinear stochastic flows with weak additive noise is cast in the path integral formalism. We integrate over the neigh…
Trace formulas for stochastic evolution operators: Weak noise perturbation theory
Predrag Cvitanovic', C. P. Dettmann, Ronnie Mainieri +1
Periodic orbit theory is an effective tool for the analysis of classical and quantum chaotic systems. In this paper we extend this approach to stochastic systems, in particular to…
Traces and determinants of strongly stochastic operators
C. P. Dettmann
Periodic orbit theory allows calculations of long time properties of chaotic systems from traces, dynamical zeta functions and spectral determinants of deterministic evolution oper…