When a new facility like grocery store, school, or fire station is planned, its location should ideally be determined by the necessities of people who live nearby. Empirically, it has been found that there exists positive correlation between and population densities. In present work, we investigate ideal relation densities within framework an economic mechanism governing microdynamics. previous studies based on global optimization positions in minimizing overall travel distance facilities,...

The Kuramoto model exhibits different types of synchronization transitions depending on the type natural frequency distribution. To obtain these results, self-consistency equation (SCE) approach has been used successfully. However, this affords only limited understanding more detailed properties such as stability. Here we extend SCE by introducing an effective potential, that is, integral version SCE. We examine landscape potential for second-order, first-order, and hybrid in thermodynamic...

Investigating all possible steady-state solutions in a particle-exchanging double-quantum-dot heat engine coupled to baths parallel reveals possibility of power-enhanced by quantum coherence.

We explore the synchronization behavior in interdependent systems, where one-dimensional (1D) network (the intranetwork coupling strength $J_{\rm I}$) is ferromagnetically intercoupled $J$) to Watts-Strogatz (WS) small-world II}$). In absence of internetwork ($J = 0$), former well known not exhibit synchronized phase at any finite strength, whereas latter displays mean-field transition. Through an analytic approach based on approximation, it found that for weakly coupled 1D ($J_{\rm I} \ll...

Self-propelled or active particles are referred to as the entities which exhibit anomalous transport violating fluctuation-dissipation theorem by means of taking up an athermal energy source from environment. Currently, a variety and their patterns have been quantified based on novel experimental tools such single-particle tracking. However, comprehensive theoretical understanding for these processes remains challenging. Effectively stochastic dynamics can be modeled Langevin driven...

We study a two-level system controlled in discrete feedback loop, modeling both the and controller terms of stochastic Markov processes. find that extracted work, which is known to be bounded from above by mutual information acquired during measurement, has compensated an additional energy supply measurement process itself, same below. Our results confirm total cost operating engine full agreement with conventional second law thermodynamics. also consider efficiency as function cycle time...

We consider a system of phase oscillators with random intrinsic frequencies coupled through sparse networks and investigate how the connectivity disorder affects nature collective synchronization transitions. Various distribution types are considered: uniform, unimodal, bimodal distribution. employ heterogeneous mean-field approximation based on annealed also perform numerical simulations quenched Erdös-Rényi networks. find that drastically changes In particular, randomness completely wipes...

The quantum entanglement $E$ of a bipartite Ising chain is compared with the mutual information $I$ between two parts after local measurement classical spin configuration. As model conformally invariant, measured in its ground state at critical point known to obey certain scaling form. Surprisingly, configurations found same form, although different prefactor. Moreover, we find that and inequality $I\leq E$ as well dynamically evolving situation. This holds for general systems pure can be...

We investigate a nonequilibrium phase transition in dissipative and coherent quantum spin system using the Langevin equation mean-field theory. Recently, contact process (QCP) was theoretically investigated Rydberg antiblockade effect, particular, when atoms were excited s-states so that their interactions regarded as being between nearest neighbors. However, are to d-states, dipole-dipole become effective, long-range must be considered. Here, we consider model with QCP, where branching...

An engine producing a finite power at the ideal (Carnot) efficiency is dream which not prohibited by thermodynamic second law. Some years ago, two-terminal heat with asymmetric Onsager coefficients in linear response regime was suggested Benenti et al. [Phys. Rev. Lett. 106, 230602 (2011)10.1103/PhysRevLett.106.230602], as prototypical system to make such come true nondivergent parameter values. However, has never been realized, spite of many trials. Here, we introduce an exactly solvable...

The voter model with the node update rule is numerically investigated on a directed network. We start from hierarchical tree, and split rewire each incoming arc at probability $p$. In order to discriminate better worse opinions, we break ${Z}_{2}$ symmetry $(\ensuremath{\sigma}=\ifmmode\pm\else\textpm\fi{}1)$ by giving little more preference opinion $\ensuremath{\sigma}=1$. It found that as $p$ becomes larger, introducing complicated pattern of information flow channels, network size $N$...

We study the efficiency of a simple quantum dot heat engine at maximum power. In contrast to quasistatically operated Carnot whose reaches theoretical maximum, recent research on more realistic engines in finite time has revealed other classes efficiencies such as Curzon-Ahlborn maximizing Such power-maximizing been argued be always half up linear order near equilibrium under tight-coupling condition between thermodynamic fluxes. show, however, that this universality may break down for...

We consider one typical system of oscillators coupled through disordered link configurations in networks, i.e., a finite population phase with distributed intrinsic frequencies on random network. investigate the collective synchronization behavior, paying particular attention to link-disorder fluctuation effects transition and its finite-size scaling (FSS). Extensive numerical simulations as well mean-field analysis have been performed. find that fluctuations effectively induce uncorrelated...

We present an experimental realization of information-driven Brownian motor by periodically cooling a particle trapped in harmonic potential connected to single heat bath, where is carried out the information process consisting measurement and feedback control. show that random motion rectified symmetry-broken cooled only when it resides on specific side center at instant measurement. Studying how thermodynamics depends cycle period τ relative relaxation time τB particle, we find ratcheting...

This study investigates the suitability of annealed approximation in high-dimensional systems characterized by dense networks with quenched link disorder, employing models coupled oscillators. We demonstrate that dynamic equations governing dense-network converge to those complete-graph version thermodynamic limit, where disorder fluctuations vanish entirely. Consequently, annealed-network systems, are attenuated, also exhibit same behavior limit. However, a significant discrepancy arises...

A model of six-species food web is studied in the viewpoint spatial interaction structures. Each species has two predators and preys, it was previously known that defensive alliances three cyclically predating self-organize dimensions. The alliance-breaking transition occurs as either mutation rate increased or topology randomized scheme Watts-Strogatz model. In former case temporal disorder, via finite-size scaling analysis, clearly shown to belong two-dimensional Ising universality class....

We investigate a measurement-feedback process of repeated operations with time delay. During finite-time interval, measurement on the system is performed and feedback protocol derived from outcome applied This maintained into next interval until new applied. Unlike without delay, both memories associated previous present outcomes are involved in dynamics, which naturally brings forth joint described by state two memory states. The thermodynamic second law provides lower bound for heat flow...

We investigate three kinds of heat produced in a system and bath strongly coupled via an interaction Hamiltonian. By studying the energy flows between system, bath, their interaction, we provide rigorous definitions two types heat, ${Q}_{\mathrm{S}}$ ${Q}_{\mathrm{B}}$, from loss gain respectively. This is contrast to equivalence which commonly assumed hold weak-coupling regime. The consider equipped with thermostat enables it reach equilibrium. identify another kind ${Q}_{\mathrm{SB}}$...

We numerically investigate dynamic critical behaviors of two-dimensional (2D) Josephson-junction arrays with positional disorder in the scheme resistively shunted junction dynamics. Large-scale computation current voltage characteristics reveals an evidence supporting that a phase transition occurs at nonzero temperature strong regime, as well weak regime. The appears to belong Berezinskii-Kosterlitz-Thouless (BKT) type. In contrast, for non-BKT is found These results are consistent recent...

In a number of classical statistical-physical models, there exists characteristic dimensionality called the upper critical dimension above which one observes mean-field behavior. Instead constructing high-dimensional lattices, however, can also consider infinite-dimensional structures, and question is whether this character extends to quantum-mechanical cases as well. We therefore investigate transverse-field quantum Ising model on globally coupled network Watts-Strogatz small-world by means...

We demonstrate that a large ensemble of noiseless globally coupled-pinned oscillators is capable rectifying spatial disorder with spontaneous current activated through dynamical phase transition mechanism, either first or second order, depending on the profile pinning potential. In presence an external weak drive, same collective mechanism can result in absolute negative mobility, which, though not immediately related to symmetry breaking, most prominent at transition.

Abstract This study investigates the suitability of annealed approximation in high-dimensional systems characterized by dense networks with quenched link disorder, employing models coupled oscillators. We demonstrate that dynamic equations governing dense-network converge to those complete-graph version thermodynamic limit, where disorder fluctuations vanish entirely. Consequently, annealed-network systems, are attenuated, also exhibit same behavior limit. However, a significant discrepancy...

The temporal evolution of the entanglement between two qubits evolving by random interactions is studied analytically and numerically. Two different types randomness are investigated. Firstly we analyze an ensemble systems with randomly chosen but time-independent interaction Hamiltonians. Secondly consider case a temporally fluctuating Hamiltonian, where unitary can be understood as walk on SU (4) group manifold. As by-product compute metric tensor its inverse well Laplace-Beltrami for (4).

We propose an efficient method for nonperturbative calculation of Green's function in a correlated electron system. The key idea the is to project out irrelevant operators having zero norm ground state, which we refer as effective projection theory. apply mesoscopic Anderson model and show that given wavefunction ansatz, equations motion can be closed only by relevant operators, allowing easy zero-temperature function. It turns resulting functions reproduce exact limits both weak strong...