Showing papers on "Dissipative system published in 2021"
TL;DR: The first experimental realization of a time crystal stabilized by dissipation is presented, demonstrating the robustness of this dynamical phase against system parameter changes and temporal perturbations of the driving.
Abstract: We present the first experimental realization of a time crystal stabilized by dissipation. The central signature in our implementation in a driven open atom-cavity system is a period doubled switching between distinct checkerboard density wave patterns, induced by the interplay between controlled cavity dissipation, cavity-mediated interactions, and external driving. We demonstrate the robustness of this dynamical phase against system parameter changes and temporal perturbations of the driving.
108 citations
TL;DR: In this article, a semi-classical Wigner function is used to describe the evolution of the axial current phase-space density of spin-1 2 particles in the relaxation time approximation.
99 citations
98 citations
TL;DR: In this article, the authors compare the two modes of dissipative self-assembly and reveal that multiple analogies exist between chemically and light-fueled systems, and they hope that these considerations will facilitate further development of the field of dissipation.
82 citations
TL;DR: A new four-dimensional dissipative chaotic system which can produce multiple asymmetric attractors is designed and its dynamical behaviors are analyzed and the basin of attraction reveals the asymmetric multistability of the system.
Abstract: In this paper, a new four-dimensional dissipative chaotic system which can produce multiple asymmetric attractors is designed and its dynamical behaviors are analyzed. The basin of attraction reveals the asymmetric multistability of the system. In addition, it is very interesting to observe different types of asymmetric coexisting attractors as the bifurcation parameters change. The spectral entropy complexity chaotic diagrams are used to observe the changes in the sequence complexity when the two bifurcation parameters change simultaneously. Moreover, the difference of the system complexity between the two different initial values is analyzed. In order to facilitate engineering applications, the offset boosting control is introduced to the state variable, and the numerical simulation shows that the offset boosting control scheme can flexibly change the polarity of the chaotic signal. Finally, an analog circuit and a digital circuit were designed to verify the new chaotic system. The new research results will enrich the theoretical basis of multistability, offset boosting control and circuit implementation of chaos.
77 citations
TL;DR: This work obtains an exact eigenspectrum of a Liouvillian superoperator by employing a non-Hermitian extension of the Bethe-ansatz method and presents a new class of exactly solvable Liouvillians of open quantum many-body systems, which can be tested with ultracold atoms subject to inelastic collisions.
Abstract: A one-dimensional dissipative Hubbard model with two-body loss is shown to be exactly solvable. We obtain an exact eigenspectrum of a Liouvillian superoperator by employing a non-Hermitian extension of the Bethe-ansatz method. We find steady states, the Liouvillian gap, and an exceptional point that is accompanied by the divergence of the correlation length. A dissipative version of spin-charge separation induced by the quantum Zeno effect is also demonstrated. Our result presents a new class of exactly solvable Liouvillians of open quantum many-body systems, which can be tested with ultracold atoms subject to inelastic collisions.
69 citations
TL;DR: In this paper, the spin hydrodynamic framework for a chiral spinor system was constructed using the 14-moment expansion formalism, and the equations of motion of second-order dissipative relativistic fluid dynamics with nontrivial spin-polarization density were obtained.
Abstract: In this paper, we start with chiral kinetic theory and construct the spin hydrodynamic framework for a chiral spinor system. Using the 14-moment expansion formalism, we obtain the equations of motion of second-order dissipative relativistic fluid dynamics with nontrivial spin-polarization density. In a chiral spinor system, the spin-alignment effect could be treated in the same framework as the chiral vortical effect (CVE). However, the quantum corrections due to fluid vorticity induce not only CVE terms in the vector/axial charge currents, but also corrections to the stress tensor. In this framework, viscous corrections to the hadron spin polarization are self-consistently obtained, which will be important for precise prediction of the polarization rate for the observed hadrons, e.g., $\mathrm{\ensuremath{\Lambda}}$ hyperon.
68 citations
TL;DR: In this article, the authors investigated the issues on extended dissipative anti-disturbance control for switched singular semi-Markovian jump systems with multiple disturbance and time-delay via disturbance observer.
67 citations
66 citations
TL;DR: In this article, a pair of photonic integrated Kerr micro-resonators (dimer) is shown to exhibit emergent nonlinear phenomena, such as spontaneous symmetry breaking and spontaneous symmetry hopping.
Abstract: Collective effects leading to spatial, temporal or spatiotemporal pattern formation in complex nonlinear systems driven out of equilibrium cannot be described at the single-particle level and are therefore often called emergent phenomena. They are characterized by length scales exceeding the characteristic interaction length and by spontaneous symmetry breaking. Recent advances in integrated photonics have indicated that the study of emergent phenomena is possible in complex coupled nonlinear optical systems. Here we demonstrate that the out-of-equilibrium driving of a strongly coupled pair of photonic integrated Kerr microresonators (‘dimer’)—which, at the ‘single particle’ (that is, individual resonator) level, generate well-understood dissipative Kerr solitons—exhibits emergent nonlinear phenomena. By exploring the dimer phase diagram, we find regimes of soliton hopping, spontaneous symmetry breaking and periodically emerging (in)commensurate dispersive waves. These phenomena are not included in the single-particle description and are related to the parametric frequency conversion between the hybridized supermodes. Moreover, by electrically controlling the supermode hybridization, we achieve wide tunability of spectral interference patterns between the dimer solitons and dispersive waves. Our findings represent a step towards the study of emergent nonlinear phenomena in soliton networks and multimodal lattices. A pair of strongly coupled photonic microresonators shows nonlinear emergent behaviour, which can be understood by incorporating interactions in the theoretical description of nonlinear optical systems.
63 citations
TL;DR: A novel generalized neural network (NN), which includes Markovian jump parameters, inertial items, and reaction–diffusion terms, is proposed, and the issue of finite-time dissipative synchronization for this kind of NNs is discussed.
Abstract: A novel generalized neural network (NN), which includes Markovian jump parameters, inertial items, and reaction–diffusion terms, is proposed, and the issue of finite-time dissipative synchronization for this kind of NNs is discussed in this article. First, an appropriate variable substitution is employed so that the original second-order differential system is transformed into a first-order one. Second, a novel time-varying memory-based controller is designed to ensure the dissipative synchronization of the drive and response systems over a finite-time interval. Then, a new Lyapunov–Krasovskii function is processed by reciprocally convex combination and free-weighting matrix methods, therefore, a less conservative synchronization criterion is derived. Finally, by providing three examples, the feasibility, superiority, and practicality of the obtained results are illustrated.
TL;DR: In this article, a review of some recent results which predict stable propagation of solitons and solitary vortices in models based on the nonlinear Schrodinger equation (NLSE) including fractional one-dimensional or two-dimensional diffraction and cubic or cubic-quintic nonlinear terms, as well as linear potentials.
Abstract: The article produces a brief review of some recent results which predict stable propagation of solitons and solitary vortices in models based on the nonlinear Schrodinger equation (NLSE) including fractional one-dimensional or two-dimensional diffraction and cubic or cubic-quintic nonlinear terms, as well as linear potentials. The fractional diffraction is represented by fractional-order spatial derivatives of the Riesz type, defined in terms of the direct and inverse Fourier transform. In this form, it can be realized by spatial-domain light propagation in optical setups with a specially devised combination of mirrors, lenses, and phase masks. The results presented in the article were chiefly obtained in a numerical form. Some analytical findings are included too, in particular, for fast moving solitons and the results produced by the variational approximation. Moreover, dissipative solitons are briefly considered, which are governed by the fractional complex Ginzburg–Landau equation.
TL;DR: In this paper, a thermodynamically consistent, microstructurally-guided modeling framework for isotropic, incompressible hard magnetorheological elastomers (h-MREs) is provided.
Abstract: Hard magnetorheological elastomers ( h -MREs) are essentially two phase composites comprising permanently magnetizable metallic inclusions suspended in a soft elastomeric matrix. This work provides a thermodynamically consistent, microstructurally-guided modeling framework for isotropic, incompressible h -MREs. Energy dissipates in such hard-magnetic composites primarily via ferromagnetic hysteresis in the underlying hard-magnetic particles. The proposed constitutive model is thus developed following the generalized standard materials framework, which necessitates suitable definitions of the energy density and the dissipation potential. Moreover, the proposed model is designed to recover several well-known homogenization results (and bounds) in the purely mechanical and purely magnetic limiting cases. The magneto–mechanical coupling response of the model, in turn, is calibrated with the aid of numerical homogenization estimates under symmetric cyclic loading. The performance of the model is then probed against several other numerical homogenization estimates considering various magneto–mechanical loading paths other than the calibration loading path. Very good agreement between the macroscopic model and the numerical homogenization estimates is observed, especially for stiff to moderately-soft matrix materials. An important outcome of the numerical simulations is the independence of the current magnetization to the stretch part of the deformation gradient. This is taken into account in the model by considering an only rotation-dependent remanent magnetic field as an internal variable. We further show that there is no need for an additional mechanical internal variable. Finally, the model is employed to solve macroscopic boundary value problems involving slender h -MRE structures and the results match excellently with experimental data from literature. Crucial differences are found between uniformly and non-uniformly pre-magnetized h -MREs in terms of their pre-magnetization and the associated self-fields.
TL;DR: In this paper, the authors extend the classical description of spin degrees of freedom to the case of spin-polarized fluids, including dissipation, and derive a complete set of new kinetic coefficients that characterize dissipative spin dynamics.
Abstract: Using the classical description of spin degrees of freedom, we extend recent formulation of the perfect-fluid hydrodynamics for spin-polarized fluids to the case including dissipation. Our work is based on the analysis of classical kinetic equations for massive particles with spin $1/2$, with the collision terms treated in the relaxation time approximation. The kinetic-theory framework determines the structure of viscous and diffusive terms and allows to explicitly calculate a complete set of new kinetic coefficients that characterize dissipative spin dynamics.
TL;DR: The aim is to design the sampled-data controller such that the T–S fuzzy system is globally asymptotically stable with aissipative performance index, and several useful linear matrix inequality conditions are derived.
Abstract: The dissipative stability problem for a class of Takagi–Sugeno (T–S) fuzzy systems with variable sampling control is the focus of this paper. The controller signals are assumed to transmit with a constant delay. Our aim is to design the sampled-data controller such that the T–S fuzzy system is globally asymptotically stable with a $(\mathcal {Q},\mathcal {S},\mathcal {R})$ - $\gamma $ -dissipative performance index. The stability is analyzed by using a novel piecewise Lyapunov–Krasovskii functional (LKF) together with a looped-functional and free-matrix-based (FMB) inequality method. First, several useful linear matrix inequality (LMI) conditions are derived to verify the dissipative stability of the T–S fuzzy system and then the controller gains matrices are expressed by resorting the LMI approach with the maximal-allowable upper bound (MAUB) of sampling periods. The proposed LMI conditions can be easily solved by using the MATLAB tool box. Finally, the numerical example of a truck–trailer system is considered and analyzed by the proposed scheme to illustrate the benefit and superiority.
TL;DR: In this article, the authors examined the hydromagnetic dissipative Newtonian/non-Newtonian fluid flow over a stretched surface and found that the heat transport in Casson fluids has superior properties than the regular fluid.
Abstract: In this report, the hydromagnetic dissipative Newtonian/non-Newtonian fluid flow over a stretched surface is examined numerically. Brownian moment, Joule heating, thermophoresis effects are considered. Similarity variables are employed to transform the non-linear PDEs into ODEs. The eminent shooting scheme is employed to determine the solution of the nonlinear equations. Solutions are achieved for different benefits of parameters of the model and the consequences are predicted in plots and tables. The Brownian moment imposed to accelerate the energy field and the dissipation influences to expand both the thermal and momentum fields. Also, simultaneous solutions are exhibited and found that the heat transport in Casson fluids has superior properties than the regular fluid.
TL;DR: In this article, an artificial dissipative self-assembly system that is constructed from light-induced amphiphiles is presented. But it remains a challenge to introduce light as fuel into artificial dissipative selfassemblies.
Abstract: Dissipative self-assembly, which requires a continuous supply of fuel to maintain the assembled states far from equilibrium, is the foundation of biological systems. Among a variety of fuels, light, the original fuel of natural dissipative self-assembly, is fundamentally important but remains a challenge to introduce into artificial dissipative self-assemblies. Here, we report an artificial dissipative self-assembly system that is constructed from light-induced amphiphiles. Such dissipative supramolecular assembly is easily performed using protonated sulfonato-merocyanine and chitosan based molecular and macromolecular components in water. Light irradiation induces the assembly of supramolecular nanoparticles, which spontaneously disassemble in the dark due to thermal back relaxation of the molecular switch. Owing to the presence of light-induced amphiphiles and the thermal dissociation mechanism, the lifetimes of these transient supramolecular nanoparticles are highly sensitive to temperature and light power and range from several minutes to hours. By incorporating various fluorophores into transient supramolecular nanoparticles, the processes of aggregation-induced emission and aggregation-caused quenching, along with periodic variations in fluorescent color over time, have been demonstrated. Transient supramolecular assemblies, which act as fluorescence modulators, can also function in human hepatocellular cancer cells. Dissipative self-assembly, which requires a continuous supply of fuel to maintain the assembled states far from equilibrium, is the foundation of biological systems but it remains a challenge to introduce light as fuel into artificial dissipative self-assemblies. Here, the authors report an artificial dissipative self-assembly system that is constructed from light-induced amphiphiles.
TL;DR: In this article, the authors solved the Lindblad equation describing the Brownian motion of a Coulombic heavy quarkantiquark pair in a strongly coupled quark-gluon plasma using the highly efficient Monte Carlo wave-function method.
Abstract: We solve the Lindblad equation describing the Brownian motion of a Coulombic heavy quark-antiquark pair in a strongly coupled quark-gluon plasma using the highly efficient Monte Carlo wave-function method. The Lindblad equation has been derived in the framework of pNRQCD and fully accounts for the quantum and non-Abelian nature of the system. The hydrodynamics of the plasma is realistically implemented through a 3+1D dissipative hydrodynamics code. We compute the bottomonium nuclear modification factor and compare with the most recent LHC data. The computation does not rely on any free parameter, as it depends on two transport coefficients that have been evaluated independently in lattice QCD. Our final results, which include late-time feed down of excited states, agree well with the available data from LHC 5.02 TeV PbPb collisions.
TL;DR: In this paper, the authors examine and compare coherent and dissipative interactions in cavity magnonic systems and highlight the requirements for different coupling mechanisms, highlighting the requirements of different coupling mechanism.
Abstract: Strong interactions between magnetic materials and electrodynamic cavities mix together spin and photon properties, producing unique hybridized behaviour. The study of such coupled spin-photon systems, known as cavity magnonics, is motivated by the flexibility and controllability of these hybridized states for spintronic and quantum information technologies. In this tutorial we examine and compare both coherent and dissipative interactions in cavity magnonics. We begin with a familiar case study, the coupled harmonic oscillator, which provides insight into the unique characteristics of coherent and dissipative coupling. We then examine several canonical cavity magnonic systems, highlighting the requirements for different coupling mechanisms, and conclude with recent applications of spin-photon hybridization, for example, the development of quantum transducers, memory architectures, isolators and enhanced sensing.
TL;DR: In this article, a functional module consisting of a duplex and two fluorophore-labeled strands is activated in parallel by the fuel strand, which leads to a supramolecular intermediate.
Abstract: Nucleic acid based, out-of-equilibrium, dissipative networks driven by nucleic acid fuels coupled to the nicking enzyme, Nt.BbvCI, are presented. One set of experiments includes a functional module consisting of a duplex and two fluorophore-labeled strands. The fuel-triggered activation of the functional module leads to a supramolecular intermediate composed of a template bound to the two fluorophore-labeled strands. Nicking of the fuel strand by Nt.BbvCI yields "waste" products, resulting in the regeneration of original system. The transient dissipative behavior of the systems is probed by following the FRET signal generated by the fluorophore labels associated with the intermediate supramolecular complex. The second set of experiments introduces two functional modules activated in parallel by the fuel strand. Using two inhibitors, I1 or I2, the selective gated dissipative operation of the networks is demonstrated. Finally, experiments presenting the intercommunication and cascading of two dissipative networks are introduced. Subjecting the networks to the fuel strands leads to intercommunication between the networks by strand-transfer and strand-feedback processes, allowing the cascaded dissipative operation of the assembly. The experimental results of the different dissipative systems are accompanied by kinetic models and computational simulations. The computational simulations provide useful means to predict the dissipative transient patterns of the systems at different auxiliary conditions.
TL;DR: In this paper, a dissipative sampled-data control mechanism for high-speed trains systems (HSTSs) with quantized measurements is proposed. But the authors focus on the high speed trains only.
Abstract: This study focuses on the novel dissipative sampled-data control mechanism for high-speed trains systems (HSTSs) with quantized measurements. Firstly, an improved time-delay-product function (TDPF) is introduced for developing a new Lyapunov-Krasovskii functional (LKF), which fully considers the delay information and the delay derivative information. Then, by combining LKF theory with new analysis techniques, relaxed conditions are established. Furthermore, the desired dissipative sampled-data controller with state quantization (DSDCSQ) is designed to ensure that HSTS is asymptotically stable under an optimizing performance index. Finally, the Japan Shinkansen high-speed trains (HSTs) example is given to illustrate the effectiveness.
TL;DR: In this paper, the authors developed a method to learn physical systems from data that employs feedforward neural networks and whose predictions comply with the first and second principles of thermodynamics, by enforcing the metriplectic structure of dissipative Hamiltonian systems in the form of the so-called General Equation for the Non-Equilibrium Reversible-Irreversible Coupling.
TL;DR: In this paper, the authors generalize quantum-electrodynamical density functional theory to account for dissipative dynamics of the cavity and describe coupled cavity-single molecule interactions in the weak-to-strong-coupling regimes.
Abstract: Cavity-mediated light–matter coupling can dramatically alter opto-electronic and physico-chemical properties of a molecule. Ab initio theoretical predictions of these systems need to combine non-perturbative, many-body electronic structure theory-based methods with cavity quantum electrodynamics and theories of open-quantum systems. Here, we generalize quantum-electrodynamical density functional theory to account for dissipative dynamics of the cavity and describe coupled cavity–single molecule interactions in the weak-to-strong-coupling regimes. Specifically, to establish this generalized technique, we study excited-state dynamics and spectral responses of benzene and toluene under weak-to-strong light–matter coupling. By tuning the coupling, we achieve cavity-mediated energy transfer between electronically excited states. This generalized ab initio quantum-electrodynamical density functional theory treatment can be naturally extended to describe cavity-mediated interactions in arbitrary electromagnetic environments, accessing correlated light–matter observables and thereby closing the gap between electronic structure theory, quantum optics, and nanophotonics.
TL;DR: The problem of exponential dissipation stability of T-S fuzzy system with state quantization is studied by using non-fragile sampled- data control by using Lyapunov-Krasovskii function containing all sampled-data and quantization information.
TL;DR: In this article, an adaptive event-triggered finite-time dissipative filtering problem for the interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy Markov jump systems (MJSs) with asynchronous modes is investigated.
Abstract: This article investigates the adaptive event-triggered finite-time dissipative filtering problems for the interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy Markov jump systems (MJSs) with asynchronous modes. By designing a generalized performance index, the H∞, L₂-L∞, and dissipative fuzzy filtering problems with network transmission delay are addressed. The adaptive event-triggered scheme (ETS) is proposed to guarantee that the IT2 T-S fuzzy MJSs are finite-time boundedness (FTB) and, thus, lower the energy consumption of communication while ensuring the performance of the system with extended dissipativity. Different from the conventional triggering mechanism, in this article, the parameters of the triggering function are based on an adaptive law, which is obtained online rather than as a predefined constant. Besides, the asynchronous phenomenon between the plant and the filter is considered, which is described by a hidden Markov model (HMM). Finally, two examples are presented to show the availability of the proposed algorithms.
TL;DR: In this article, the authors studied the Cauchy problem for the linear and semilinear Moore-Gibson-Thompson (MGT) equation in the dissipative case.
TL;DR: In this article, the authors examine and compare coherent and dissipative interactions in cavity magnonic systems and highlight the requirements for different coupling mechanisms, and conclude with recent applications of spin-photon hybridization, for example, the development of quantum transducers, memory architectures, isolators and enhanced sensing.
Abstract: Strong interactions between magnetic materials and electrodynamic cavities mix together spin and photon properties, producing unique hybridized behavior. The study of such coupled spin-photon systems, known as cavity magnonics, is motivated by the flexibility and controllability of these hybridized states for spintronic and quantum information technologies. In this Tutorial, we examine and compare both coherent and dissipative interactions in cavity magnonics. We begin with a familiar case study, the coupled harmonic oscillator, which provides insight into the unique characteristics of coherent and dissipative coupling. We then examine several canonical cavity-magnonic systems, highlighting the requirements for different coupling mechanisms, and conclude with recent applications of spin-photon hybridization, for example, the development of quantum transducers, memory architectures, isolators, and enhanced sensing.
TL;DR: In this paper, a new fuzzy aperiodic intermittent sampled-data control strategy was proposed for distributed parameter systems (DPSs) with stochastic disturbances and multiple time-varying delays, where the state sampling occurs only in space and is intermittent rather than continuous in the time domain.
Abstract: In this paper, the extended dissipative performance of distributed parameter systems (DPSs) with stochastic disturbances and multiple time-varying delays is studied by using a new fuzzy aperiodic intermittent sampled-data control strategy. Different from the previous fuzzy sampled-data control results, the state sampling of the proposed sampled-data controller occurs only in space and is intermittent rather than continuous in the time domain. By introducing a novel multi-time-delay-dependent switched Lyapunov functional to explore the dynamic characteristics of the controlled system, and by means of the famous Jensen's inequality with reciprocally convex approach, Wirtinger's inequality, the criterion of the system's mean square stabilization is established based on the LMI technique, which quantitatively reveals the relationship between the control period, the control length, and the upper bound of the control sampling interval. Especially, the optimal control gain is given by designing an optimized algorithm in the paper, which greatly reduces the cost. Finally, a numerical example is presented to demonstrate the effectiveness and superiority of the proposed approach.
TL;DR: In this paper, an improved boundary circulatory functional approach is introduced for constructing a weak Lyapunov-Krasovskii functional, which can fully excavate some intrinsic relationships between sampling interval and time delay.
TL;DR: In this article, a pedagogical introduction to the equilibrium behavior of systems in that context, whose scaling framework is essentially developed by exploiting the quantum-to-classical mapping and the renormalization-group theory of critical phenomena at continuous phase transitions.