Stochastic thermodynamics of inertial-like Stuart-Landau dimer

Abstract

Stuart-Landau limit-cycle oscillators are a paradigm in the study of coherent and incoherent limit cycles. In this work, we generalize the standard Stuart-Landau dimer model to include effects due to an inertia-like term and noise and study its dynamics and stochastic thermodynamics. In the absence of noise (zero-temperature limit), the dynamics show the emergence of a new bistable phase where coherent and incoherent limit cycles coexist. At finite temperatures, we develop a stochastic thermodynamic framework based on the dynamics of a charged particle in a magnetic field to identify physically meaningful heat and work. The stochastic system no longer exhibits the bistable phase but the thermodynamic observables, such as work, exhibit bistability in the temporally metastable regime. We demonstrate that the inertial-like Stuart-Landau dimer operates like a machine, reliably outputting the most work when the oscillators coherently synchronize and unreliable with minimum work output when the oscillators are incoherent. Overall, our results show the importance of coherent synchronization within the working substance in the operation of a thermal machine.

arXiv comment21 pages and 4 figures

References in corpus (33)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Synchronization in Complex Oscillator Networks and Smart Grids
• Explosive Synchronization Transitions in Scale-free Networks
• Stochastic thermodynamics: Principles and perspectives
• Brownian Carnot engine
• Amplitude Death: The emergence of stationarity in coupled nonlinear systems
• Explosive first-order transition to synchrony in networked chaotic oscillators
• Kuramoto model of synchronization: Equilibrium and nonequilibrium aspects
• Cluster Explosive Synchronization in Complex Networks
• A Network of Oscillators for Retrieving Phase Information
• Measurement driven single temperature engine
• Synchronization in disordered Josephson junction arrays: Small-world connections and the Kuramoto model
• Nonequilibrium thermodynamics of coupled molecular oscillators: The energy cost and optimal design for synchronization
• Collective power: Minimal model for thermodynamics of nonequilibrium phase transitions
• Two simple models of classical heat pumps
• Anomalous heat transport in classical many-body systems: overview and perspectives
• The world of long-range interactions: A bird's eye view
• Nonequilibrium first-order transition in coupled oscillator systems with inertia and noise
• Overdamped stochastic thermodynamics with multiple reservoirs
• Underdamped Active Brownian Heat Engine
• Stochastic Work Extraction in a colloidal heat engine in presence of colored noise
• Brownian heat engine with active reservoirs
• Deriving GENERIC from a generalized fluctuation symmetry
• Work producing reservoirs: Stochastic thermodynamics with generalized Gibbs ensembles
• Stochastic Heat Engine Powered By Active Dissipation
• Exceptional points in coupled dissipative dynamical systems
• A Volterra-series approach to stochastic nonlinear dynamics: The Duffing oscillator driven by white noise
• Thermodynamic cost of synchronizing a population of beating cilia
• Learning the best thermoelectric nanoscale heat engines through evolving network topology
• Two coupled, driven Ising spin systems working as an Engine
• Microreversibility and nonequilibrium response theory in magnetic fields
• Entropy production for complex Langevin equations
• Stochastic Thermodynamics of oscillators networks

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