Regensburg 2019 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 50: Poster: Nonlinear Systems, Patterns, Flows ..
DY 50.7: Poster
Thursday, April 4, 2019, 15:00–18:00, Poster B2
Work statistics in the classical periodically driven anharmonic oscillator — •Mattes Heerwagen and Andreas Engel — Institut für Physik, Carl von Ossietzky Universität Oldenburg, 26111 Oldenburg, Germany
For a small, time-dependent Hamiltonian system starting in thermal equilibrium the probability distribution of work arises due to the interplay between random initial conditions and deterministic dynamics. This distribution has been studied in detail for several examples of integrable systems. When regular and chaotic motion coexist new mechanisms for phase space mixing arise that will leave signatures in the work statistics.
We consider a classical anharmonic oscillator initially at equilibrium. Then the heat bath is removed and a periodic driving with slowly increasing envelope function is switched on. After reaching a maximum the driving is again switched off smoothly such that the final Hamiltonian coincides with the initial one. By the first law of thermodynamics, the work of the external driving equals the energy change of the system during the process. We determine the probability density P(Ef|Ei) for transitions from initial energy Ei to final energy Ef and deduce from it the work statistics for the periodically driven anharmonic oscillator.