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We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

统计力学 · 物理学 2009-10-31 Alexander Patashinski

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

最优化与控制 · 数学 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua

Active fluctuations are detected in a growing number of systems due to self-propulsion mechanisms or collisions with active environment. They drive the system far from equilibrium and can induce phenomena which at equilibrium states are…

统计力学 · 物理学 2024-09-12 K. Białas , J. Łuczka , J. Spiechowicz

In this article, we consider a dynamic model of a three-phase power system including nonlinear generator dynamics, transmission line dynamics, and static nonlinear loads. We define a synchronous steady-state behavior which corresponds to…

最优化与控制 · 数学 2018-11-29 Dominic Groß , Catalin Arghir , Florian Dörfler

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

系统与控制 · 电气工程与系统科学 2022-01-03 Demelash Abiye Deguale

Strongly correlated systems far from equilibrium can exhibit scaling solutions with a dynamically generated weak coupling. We show this by investigating isolated systems described by relativistic quantum field theories for initial…

高能物理 - 唯象学 · 物理学 2008-11-26 J. Berges , A. Rothkopf , J. Schmidt

We investigate optimal control of linear port-Hamiltonian systems with control constraints, in which one aims to perform a state transition with minimal energy supply. Decomposing the state space into dissipative and non-dissipative (i.e.…

最优化与控制 · 数学 2021-04-13 Manuel Schaller , Friedrich Philipp , Timm Faulwasser , Karl Worthmann , Bernhard Maschke

Traveling localized spots represent an important class of self-organized two-dimensional patterns in reaction-diffusion systems. We study open-loop control intended to guide a stable spot along a desired trajectory with desired velocity.…

斑图形成与孤子 · 物理学 2018-09-21 Steffen Martens , Christopher Ryll , Jakob Löber , Fredi Tröltzsch , Harald Engel

A fundamental and intrinsic property of any device or natural system is its relaxation time relax, which is the time it takes to return to equilibrium after the sudden change of a control parameter [1]. Reducing $tau$ relax , is frequently…

In this work, we consider the problem of event-triggered implementation of control laws designed for the local stabilization of nonlinear systems with center manifolds. We propose event-triggering conditions which are derived from a local…

系统与控制 · 电气工程与系统科学 2021-10-22 Akshit Saradagi , Vijay Muralidharan , Arun D. Mahindrakar , Pavankumar Tallapragada

The physics of active systems of self-propelled particles, in the regime of a dense liquid state, is an open puzzle of great current interest, both for statistical physics and because such systems appear in many biological contexts. We…

软凝聚态物质 · 物理学 2017-10-26 Saroj Kumar Nandi , Nir S. Gov

We propose a novel feedback controller for a class of uncertain higher-order nonlinear systems, subject to delays in both state measurement and control input signals. Building on the prescribed performance control framework, a…

最优化与控制 · 数学 2025-09-11 Thomas Berger , Lampros N. Bikas , Jan Hachmeister , George A. Rovithakis

Quantum systems in extreme conditions can exhibit universal behavior far from equilibrium associated to nonthermal fixed points with a wide range of topical applications from early-universe inflaton dynamics and heavy-ion collisions to…

高能物理 - 唯象学 · 物理学 2025-01-27 Jürgen Berges , Benjamin Wallisch

Self-propelling active matter relies on the conversion of energy from the undirected, nanoscopic scale to directed, macroscopic motion. One of the challenges in the design of synthetic active matter lies in the control of dynamic states, or…

流体动力学 · 物理学 2025-03-10 Prashanth Ramesh , Yibo Chen , Petra Räder , Svenja Morsbach , Maziyar Jalaal , Corinna C Maass

While the equilibrium properties, states, and phase transitions of interacting systems are well described by statistical mechanics, the lack of suitable state parameters has hindered the understanding of non-equilibrium phenomena in diverse…

软凝聚态物质 · 物理学 2019-02-20 Stefano Martiniani , Paul M. Chaikin , Dov Levine

Active matter generates order or patterns through nonequilibrium dynamics. An open research challenge is to determine how efficiently a nonequilibrium self-organising system can convert consumed energy into macroscopic order. We study an…

适应与自组织系统 · 物理学 2026-05-07 Qianyang Chen , Mikhail Prokopenko

A general analytical theory of temporal relaxation processes in isolated quantum systems with many degrees of freedom is elaborated, which unifies and substantially amends several previous approximations. Specifically, the Fourier transform…

统计力学 · 物理学 2019-05-09 Peter Reimann

We investigate the correspondence between a non-equilibrium ensemble defined via the distribution of phase-space paths of a Hamiltonian system, and a system driven into a steady-state by non-equilibrium boundary conditions. To discover…

统计力学 · 物理学 2014-01-27 Milos Knezevic , R. M. L. Evans

It is proposed that self-organisation (SO) in non-equilibrium systems is governed by a general principle: it emerges when a minute subset of system configurations are exceptionally stable and long-lived to survive the noise generated by the…

统计力学 · 物理学 2026-04-20 Raphael Blumenfeld

Cooling the trapped atoms toward their motional ground states is key to applications of quantum simulation and quantum computation. By utilizing nonreciprocal couplings between constituent atoms, we present an intriguing dark-state cooling…

量子物理 · 物理学 2022-11-17 Chun-Che Wang , Yi-Cheng Wang , Chung-Hsien Wang , Chi-Chih Chen , H. H. Jen