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This paper considers the representation of energy storage in electricity sector capacity planning models. The incorporation of storage in long-term systems models of this type is increasingly relevant as the cost of storage technologies,…

Optimization and Control · Mathematics 2021-06-01 James H. Merrick , John E. T. Bistline , Geoffrey J. Blanford

A time-dependent current-density-functional theory for many-particle systems in interaction with arbitrary external baths is developed. We prove that, given the initial quantum state $|\Psi_0>$ and the particle-bath interaction operator,…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 Massimiliano Di Ventra , Roberto D'Agosta

This paper presents a passivity-based control framework for AC-DC converters supplying non-passive Information Technology rack loads in DC data centers. Unlike conventional cascaded proportional-integral controllers that ensure stability…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Lizhi Wang , Fei Feng , Ella Chou , Yashen Lin

Minimal models of active and driven particles have recently been used to elucidate many properties non-equilibrium systems. However, the relation between energy consumption and changes in the structure and transport properties of these…

Soft Condensed Matter · Physics 2017-08-03 Clara del Junco , Laura Tociu , Suriyanarayanan Vaikuntanathan

The analytically tractable model employing Quantum Markovian Master Equations, derived by weak coupling procedure and satisfying complete positivity, is proposed to describe a model of molecular battery charged by a non-equilibrium…

Quantum Physics · Physics 2019-06-26 Robert Alicki

On this paper, we have proposed an approach to observe the time-centered difference scheme for dissipative mechanical systems from a Hamiltonian perspective and to introduce the idea of symplectic algorithm to dissipative systems. The…

Mathematical Physics · Physics 2010-08-06 Tianshu Luo , Yimu Guo

We consider a quantum battery modeled as a set of N independent two-level quantum systems driven by a time dependent classical source. Different figures of merit, such as stored energy, time of charging and energy quantum fluctuations…

Mesoscale and Nanoscale Physics · Physics 2020-07-02 A. Crescente , M. Carrega , M. Sassetti , D. Ferraro

Recently, it is shown that the extended phase space formulation of quantum mechanics is a suitable technique for studying the quantum dissipative system. Here, as an application of this formalism, we consider a dissipative system of charged…

Quantum Physics · Physics 2007-05-23 S. Khademi , S. Nasiri , S. Fathi , F. Taati

In this work we consider a new version of the remarkable two capacitor paradox, concretely its simpler form called single capacitor paradox in realistic case when all capacitors plates, conductors and switch are made by the same kind of…

General Physics · Physics 2023-01-02 Vladan Pankovic

The paper deals with the problem of open systems out of equilibrium. An analytical expression for time-dependent density matrix of two arbitrary coupled identical quantum oscillators interacting with separate reservoirs is derived using…

Quantum Physics · Physics 2014-12-16 Illarion Dorofeyev

Maximal monotonicity is explored as a generalization of the linear theory of passivity, aiming at an algorithmic input/output analysis of physical models. The theory is developed for maximal monotone one-port circuits, formed by the series…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Thomas Chaffey , Rodolphe Sepulchre

This paper studies the problem of verifying dissipativity of linear time-invariant (LTI) systems using input-output data. We leverage behavioral systems theory to express dissipativity in terms of quadratic difference forms (QDFs), allowing…

Optimization and Control · Mathematics 2026-02-17 Henk J. van Waarde , Jeremy Coulson , Alberto Padoan

Irreversible behaviour is traditionally associated with open stochastic dynamical systems, but an asymmetry in the probabilistic specification of a closed deterministic system can similarly lead to a disparity between the likelihoods of a…

Quantum Physics · Physics 2018-09-03 Claudia L. Clarke , Ian J. Ford

Based on our earlier works [Phys. Rev. B 75, 195127 (2007) & J. Chem. Phys. 128, 234703 (2008)], we propose a formally exact and numerically convenient approach to simulate time-dependent quantum transport from first-principles. The…

Chemical Physics · Physics 2015-05-18 Xiao Zheng , GuanHua Chen , Yan Mo , SiuKong Koo , Heng Tian , ChiYung Yam , YiJing Yan

By introducing the self-energy density functionals for the dissipative interactions between the reduced system and its environment, we develop a time-dependent density-functional theory formalism based on an equation of motion for the…

Quantum Physics · Physics 2009-11-13 Xiao Zheng , Fan Wang , Chi Yung Yam , Yan Mo , GuanHua Chen

A time-dependent product is introduced between the observables of a dissipative quantum system, that accounts for the effects of dissipation on observables and commutators. In the $t \to \infty$ limit this yields a contracted algebra. The…

Quantum Physics · Physics 2012-05-07 Dariusz Chruściński , Paolo Facchi , Giuseppe Marmo , Saverio Pascazio

A fixed time-step variational integrator cannot preserve momentum, energy, and symplectic form simultaneously for nonintegrable systems. This barrier can be overcome by treating time as a discrete dynamic variable and deriving adaptive…

Numerical Analysis · Mathematics 2022-08-17 Harsh Sharma , Jeff Borggaard , Mayuresh Patil , Craig Woolsey

We consider point particles in a table made of two circular cavities connected by two rectangular channels, forming a closed loop under periodic boundary conditions. In the first channel, a bounce--back mechanism acts when the number of…

Statistical Mechanics · Physics 2021-03-24 Emilio N. M. Cirillo , Matteo Colangeli , Omar Richardson , Lamberto Rondoni

In this letter, we introduce a novel method for investigating dissipation (gain) and thermalization in an open quantum system. In this method, the quantum system is coupled linearly with a copy of itself or with another system described by…

Despite wide-scale deployment of phasor measurement unit technology, locating the sources of low frequency forced oscillations in power systems is still an open research topic. The dissipating energy flow method is one source location…

Systems and Control · Computer Science 2018-11-12 Samuel Chevalier , Petr Vorobev , Konstantin Turitsyn , Bin Wang , Slava Maslennikov