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We study the driven Brownian motion of hard rods in a one-dimensional cosine potential with an amplitude large compared to the thermal energy. In a closed system, we find surprising features of the steady-state current in dependence of the…

统计力学 · 物理学 2018-10-24 Dominik Lips , Artem Ryabov , Philipp Maass

We design optimal harmonic-trap trajectories to transport cold atoms without final excitation, combining an inverse engineering techniqe based on Lewis-Riesenfeld invariants with optimal control theory. Since actual traps are not really…

量子物理 · 物理学 2011-11-08 Xi Chen , E. Torrontegui , Dionisis Stefanatos , Jr-Shin Li , J. G. Muga

We consider the two dimensional motion of a particle into a confining potential, subjected to Brownian forces, associated with two different temperatures on the orthogonal directions. Exact solutions are obtained for an asymmetric harmonic…

统计力学 · 物理学 2018-05-23 Vincent Mancois , Bruno Marcos , Pascal Viot , David Wilkowski

After the justification of the maximum entropy approach for equilibrium thermodynamic system, and of a maximum path entropy algorithm for nonequilibrium thermodynamic systems by virtue of the principle of virtual work, we present in this…

统计力学 · 物理学 2007-12-18 Qiuping A. Wang

We derive a bound on generalized currents for Langevin systems in terms of the total entropy production in the system and its environment. For overdamped dynamics, any generalized current is bounded by the total rate of entropy production.…

统计力学 · 物理学 2018-06-06 Andreas Dechant , Shin-ichi Sasa

Physical systems driven away from equilibrium by an external controller dissipate heat to the environment; the excess entropy production in the thermal reservoir can be interpreted as a "cost" to transform the system in a finite time. The…

统计力学 · 物理学 2024-12-31 Jérémie Klinger , Grant M. Rotskoff

In this paper we combine two main topics in mechanics and optimal control theory: contact Hamiltonian systems and Pontryagin Maximum Principle. As an important result, among others, we develop a contact Pontryagin Maximum Principle that…

最优化与控制 · 数学 2020-06-26 Manuel de León , Manuel Lainz , Miguel C. Muñoz-Lecanda

We consider irreversible and coupled reversible-irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned with optimal state transitions and output stabilization on…

最优化与控制 · 数学 2024-10-08 Friedrich Philipp , Manuel Schaller , Karl Worthmann , Timm Faulwasser , Bernhard Maschke

A colloidal particle immersed in a bath of bacteria is a typical example of a passive particle in an active bath. To model this, we take an overdamped harmonically trapped particle subjected to a thermal and a non-equilibrium noise arising…

统计力学 · 物理学 2018-08-02 Subhasish Chaki , Rajarshi Chakrabarti

Gravitationally induced entanglement has been proposed as a probe of the quantum nature of gravity. This work analyzes a system of two particles in harmonic traps interacting only through gravity, considering thermal and two-mode squeezed…

量子物理 · 物理学 2026-01-01 Julia Tokarska , Andrzej Dragan

We analyze the equations governing the evolution of distributions of the work and the heat exchanged with the environment by a manipulated stochastic system, by means of a compact and general derivation. We obtain explicit solutions for…

统计力学 · 物理学 2007-11-13 A. Imparato , L. Peliti , G. Pesce , G. Rusciano , A. Sasso

This work obtains the efficiency at maximum power for a stochastic heat engine performing Carnot-like, Stirling-like and Ericsson-like cycles. For the mesoscopic engine a Brownian particle trapped by an optical tweezers is considered. The…

This paper aims to address the nonlinear optimal guidance problem with impact-time and impact-angle constraints, which is fundamentally important for multiple pursuers to collaboratively achieve a target. Addressing such a guidance problem…

最优化与控制 · 数学 2024-06-10 Fanchen Wu , Zheng Chen , Xueming Shao , Kun Wang

We investigate the time-optimal solution of the selective control of two uncoupled spin 1/2 particles. Using the Pontryagin Maximum Principle, we derive the global time-optimal pulses for two spins with different offsets. We show that the…

量子物理 · 物理学 2018-11-14 L. Van Damme , Q. Ansel , S. J. Glaser , D. Sugny

In this work, we address the problem of maximizing fidelity in a quantum state transformation process controlled in such a way as to keep decoherence within given bounds. We consider a three-level $\Lambda$-type atom subjected to Markovian…

量子物理 · 物理学 2022-03-30 Nahid Binandeh Dehaghani , Fernando Lobo Pereira

The overdamped Brownian dynamics of a harmonic oscillator is a paradigmatic system in non-equilibrium statistical mechanics, which reliably models relevant stochastic systems such as colloidal particles submitted to optical confinement. In…

统计力学 · 物理学 2022-09-08 Antonio Patrón , Antonio Prados , Carlos A. Plata

In this paper, we study the stochastic submodular maximization problem with dependent items subject to packing constraints such as matroid and knapsack constraints. The input of our problem is a finite set of items, and each item is in a…

社会与信息网络 · 计算机科学 2019-07-12 Shaojie Tang

Analytical models describing the motion of colloidal particles in given velocity fields are presented. In addition to local approaches, leading to well known master equations such as the Langevin and the Fokker-Planck equations, a global…

流体动力学 · 物理学 2016-03-23 Roberto Mauri

Active Brownian engines rectify energy from reservoirs composed of self-propelling non-equilibrium molecules into work. We consider a class of such engines based on an underdamped Brownian particle trapped in a power-law potential. The…

统计力学 · 物理学 2021-01-04 Viktor Holubec , Rahul Marathe

A particle driven by active self-propulsion can be subject to inhomogeneous potential fields, steering its orientation and leading to confinement and eventual trapping. Analytical treatment of capture and/or release dynamics for general…

软凝聚态物质 · 物理学 2023-09-19 Guangle Du , Fangfu Ye , Rudolf Podgornik