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Thermostated Hamiltonian Dynamics with Log Oscillators

2013/02/28 by Michele Campisi, Peter Hänggi, Peter Hanggi
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Class (philosophy) #Control and Stability of Dynamical Systems #Hamiltonian (control theory) #Hamiltonian mechanics #Hamiltonian system #Logarithm #Thermoelastic and Magnetoelastic Phenomena #Thermostat #cond-mat.stat-mech

paper · pdf · doi:10.1021/jp4020417

published as J. Phys. Chem. B , 117 (2013) 12829 · 7 pages, 3 figures

arxiv created 2013/04/26 · openalex publication_date 2013/04/29 · arxiv updated 2014/01/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

With this work, we present two new methods for the generation of thermostatted, manifestly Hamiltonian dynamics and provide corresponding illustrations. The basis for this new class of thermostats is the peculiar thermodynamics as exhibited by logarithmic oscillators. These two schemes are best suited when applied to systems with a small number of degrees of freedom.

Citations