Article
Multidisciplinary Sciences
Jose Nahuel Freitas, Massimiliano Esposito
Summary: Investigates a central problem in non-equilibrium statistical physics, which is how to extend the Gibbs distribution to non-equilibrium steady states. By considering open systems described by stochastic dynamics, the self-information of microstates is related to macroscopic entropy production, leading to a new version of the second law of thermodynamics that links deterministic relaxation and non-equilibrium fluctuations.
NATURE COMMUNICATIONS
(2022)
Article
Physics, Multidisciplinary
Gao Wang, Trung Phan, Shengkai Li, Michael Wombacher, Junle Qu, Yan Peng, Guo Chen, Daniel Goldman, Simon A. Levin, Robert H. Austin, Liyu Liu
Summary: The study introduces an ecology-inspired form of active matter consisting of a robot swarm that moves to search for maximum light intensity in a resource environment, resulting in dynamic and spatial transitions influenced by robot density, resource consumption rates, and resource recovery rates. These transitions can lead to different states such as gas, crystalline, liquid, glass, and jammed, with non-gas states emerging from smooth, flat resource landscapes and the potential for direct movement to a glassy state under certain conditions.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Gayanath W. Fernando, R. Matthias Geilhufe, Adil-Gerai Kussow, W. Wasanthi P. de Silva
Summary: Single- and many-electron calculations and dynamics in dimers and small Hubbard clusters were discussed. Time dependencies of Peierls gap, current operator, charge gaps, and phase separation were analyzed, indicating the presence or absence of paired electron states. The effects of electromagnetic perturbations on Hubbard many-electron systems as potential precursors to superconductivity and time crystals were examined.
Article
Automation & Control Systems
Guangjun Shen, Ruidong Xiao, Xiuwei Yin, Jinhong Zhang
Summary: This paper investigates the mean-square exponential stabilization for stochastic differential equations with Markovian switching, deriving a new set of sufficient conditions. It shows that periodically intermittent control design exponentially stabilizes hybrid stochastic differential equations and periodic intermittent control is a special case of the developed results. The effectiveness of the developed periodically intermittent control design is illustrated through simulations of the Hopfield neutral network model.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2021)
Article
Quantum Science & Technology
Gabriel T. Landi, Mauro Paternostro, Alessio Belenchia
Summary: We introduce a unified formalism for the thermodynamics description of continuously monitored systems. We demonstrate the relationship between conditional and unconditional entropy production, which measure the irreversibility of open system dynamics, through the Holevo quantity. This relationship can be further decomposed into information gain rate and loss rate, which determine the existence of informational steady states. Several examples are provided to illustrate the applicability of our framework.
Article
Materials Science, Multidisciplinary
Nikita A. Olekhno, Alina D. Rozenblit, Andrei A. Stepanenko, Alexey A. Dmitriev, Daniel A. Bobylev, Maxim A. Gorlach
Summary: Topological transition mediated by quantum statistics is discovered for two-anyon and three-anyon excitations in a one-dimensional array, showing the existence of topological edge states governed by the quantum statistics of particles.
Article
Physics, Fluids & Plasmas
Shakul Awasthi, Sreedhar B. Dutta
Summary: In this paper, the asymptotic distributions of periodically driven anharmonic Langevin systems were investigated, with a perturbative scheme developed using the SL2 symmetry. The conditions for the existence and periodicity of the distributions were spelled out, showing stability of oscillating states against anharmonic perturbations.
Article
Automation & Control Systems
Jiafeng Wang, Ze Tang, Dong Ding, Jianwen Feng
Summary: This paper investigates the exponential consensus problem for multi-agent systems with nonlinear discontinuous dynamics and time-varying delay. A novel aperiodically intermittent distributed control strategy is proposed to force the state of each agent to a common trajectory. An improved saturation algorithm is also proposed to limit the control effects within reasonable ranges. Sufficient conditions for exponential consensus are obtained through the use of Filippov differential inclusion, Lie derivative method, and measurement selection theorem. Numerical simulations are conducted to demonstrate the validity and feasibility of the proposed theories.
Article
Mathematics, Interdisciplinary Applications
Dongsheng Xu, Shuting Song, Huan Su
Summary: This paper proposes a new method called aperiodically intermittent control (AIC) based on the average control rate for achieving fixed-time synchronization in large-scale systems. Compared with previous methods, the AIC reduces the limitations of control width and rest width, resulting in less conservativeness. The use of a hyperbolic sine function instead of a sign function avoids chattering phenomena. The effectiveness of the proposed method is demonstrated through a numerical example.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Electrical & Electronic
Bo Zhang, Liangyi Cai, Feiqi Deng, Shengli Xie
Summary: This paper introduces the stabilization by aperiodically intermittent sampling stochastic noise as a new method for solving the consensus problem of a class of homogeneous multi-agent systems. It designs a multiplicative noise as a control input to stabilize the error system of the multi-agents. The average noise control rate is used to estimate the working time of the intermittent noise, while a novel piecewise analysis technique is adopted to estimate the mean square of the error state. The sufficient criteria for the stability of the error system are obtained.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2023)
Article
Computer Science, Artificial Intelligence
Lei Liu, Jinde Cao, Fawaz E. E. Alsaadi
Summary: This article focuses on achieving average consensus of multi-agent systems using intermittent event-triggered strategy. Firstly, a novel intermittent event-triggered condition is designed and the corresponding piecewise differential inequality is established. Several criteria for average consensus are obtained based on the established inequality. Secondly, the optimality of average consensus is investigated, and the optimal intermittent event-triggered strategy in terms of Nash equilibrium and the corresponding local Hamilton-Jacobi-Bellman equation are derived. Thirdly, an adaptive dynamic programming algorithm for the optimal strategy and its neural network implementation with actor-critic architecture are provided. Finally, two numerical examples are presented to demonstrate the feasibility and effectiveness of the proposed strategies.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Mathematics, Applied
E. O. Porubov, A. Tsiganov
Summary: This study presents 21 two-dimensional natural Hamiltonian systems with sextic invariants, opening up the possibility of constructing a new mathematical theory based on these results.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Multidisciplinary Sciences
Tye L. Kindinger, Jason A. Toy, Kristy J. Kroeker
Summary: Understanding how ocean acidification and warming affect consumption rates of predators and herbivores in marine ecosystems is crucial for predicting responses to global change. Studies show that both OA and warming can directly impact consumers, but there is high variability in consumption rates, likely due to species adaptation and methodological differences. Exposure to OA may reduce consumption rates on average, but rates can increase when both consumers and their resources are exposed to the same conditions concurrently.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Quantum Science & Technology
Tanmoy Pandit, Alaina M. Green, C. Huerta Alderete, Norbert M. Linke, Raam Uzdin
Summary: Periodically-driven systems are common in the fields of science and technology, and understanding the constraints that govern the dynamics of such systems is of great interest. This study derives a set of constraints for each number of cycles in quantum dynamics and demonstrates experimentally the relevance of these constraints for modern quantum systems. Furthermore, it shows the potential of using these constraints to detect the effect of the environment in quantum circuits that cannot be simulated classically.
Article
Physics, Multidisciplinary
Deguang Wu, Jiasong Chen, Wei Su, Rui Wang, Baigeng Wang, D. Y. Xing
Summary: The authors study the non-Hermitian proximity effect in quantum systems with boundaries coupled to external environments, which leads to the emergence of imaginary in-gap states penetrating the bulk. This phenomenon reveals similarities between non-Hermitian and impurity physics, with implications for open quantum systems. Non-Hermitian boundaries commonly occur in open quantum systems, and the non-Hermitian proximity effect (NHPE) describes the penetration of non-Hermiticity from the boundary into the bulk. The NHPE generates in-gap states with imaginary eigenenergies, localized at the system boundary and decaying into the bulk similar to conventional impurity states.
COMMUNICATIONS PHYSICS
(2023)