Thermodynamics is a core part of most science and engineering curricula. However, most texts that are currently available to students still treat thermodynamics very much as it was presented in the 19th century,...

This work is focused on the dissipative system

We unravel the many-body dynamics of a harmonically trapped impurity colliding with bosonic medium confined in double-well upon quenching initially displaced harmonic trap to center double-well. reveal that emerging correlation crucially depends on impurity-medium interaction strength allowing for classification into different dynamical response regimes. For strong attractive couplings is bound...

We present a method for model reduction based on ideas from the behavioral theory of dissipative systems, in which the reduced-order model is required to reproduce a subset of the set of trajectories of minimal dissipation of the original system. The passivity-preserving model reduction method of Antoulas and Sorensen proposed in [2, 19] is shown to be a particular case of this more general cla...

Forl a 1-D conservative system with position depending mass within dissipative medium, its effect on the body is to exert force squared of velocity, constant motion, Lagrangian, generalized linear momentum, and Hamiltonian are obtained. We apply these new results harmonic oscillator pendulum under characteristics mentioned about, obtaining their Lagrangian for case when increasing mass.