Scattering-matrix approach to Casimir-Lifshitz force and heat transfer out of thermal equilibrium between arbitrary bodies

Abstract

We study the radiative heat transfer and the Casimir-Lifshitz force occurring between two bodies in a system out of thermal equilibrium. We consider bodies of arbitrary shape and dielectric properties, held at two different temperatures, and immersed in a environmental radiation at a third different temperature. We derive explicit closed-form analytic expressions for the correlations of the electromagnetic field, and for the heat transfer and Casimir-Lifshitz force, in terms of the bodies scattering matrices. We then consider some particular cases which we investigate in detail: the atom-surface and the slab-slab configurations.

References in corpus (7)

• Measurement of the Temperature Dependence of the Casimir-Polder Force
• The Casimir effect within scattering theory
• New asymptotic behaviour of the surface-atom force out of thermal equilibrium
• Casimir-Lifshitz force out of thermal equilibrium
• Thermal Casimir vs Casimir-Polder forces: Equilibrium and non-equilibrium forces
• Casimir-Lifshitz force out of thermal equilibrium and asymptotic non-additivity
• A quantum sensor for atom-surface interactions below 10 $\mu$m

Cited by in corpus (117)

• Near-field Radiative Heat Transfer in Many-Body Systems
• Near-field heat transfer between graphene/hBN multilayers
• Trace formulae for non-equilibrium Casimir interactions, heat radiation and heat transfer for arbitrary objects
• Radiative bistability and thermal memory
• Persistent Directional Current at Equilibrium in Nonreciprocal Many-Body Near Field Electromagnetic Heat Transfer
• Fluctuational-electrodynamic theory and dynamics of heat transfer in multiple dipolar systems
• Three-body amplification of photon heat tunneling
• Fluctuating surface-current formulation of radiative heat transfer: theory and applications
• Ultrafast Radiative Heat Transfer
• Fluctuating surface-current formulation of radiative heat transfer for arbitrary geometries
• Measurement of non-monotonic Casimir forces between silicon nanostructures
• Three-body radiative heat transfer and Casimir-Lifshitz force out of thermal equilibrium for arbitrary bodies
• Non-equilibrium Fluctuational Quantum Electrodynamics: Heat Radiation, Heat Transfer, and Force
• Radiative heat transfer between two dielectric nanogratings in the scattering approach
• Radiative heat transfer in many-body systems: coupled electric and magnetic dipole approach
• Fluctuating volume-current formulation of electromagnetic fluctuations in inhomogeneous media: incandecence and luminescence in arbitrary geometries
• Heat radiation from long cylindrical objects
• Magnetic-tunable nanoscale thermal radiation between twisted graphene gratings
• A Green's function formalism of energy and momentum transfer in fluctuational electrodynamics
• Radiative heat transfer and nonequilibrium Casimir-Lifshitz force in many-body systems with planar geometry
• Hyperbolic waveguide for long-distance transport of near-field heat flux
• Radiative Heat Transfer between Neighboring Particles
• Quantum thermal machines with single nonequilibrium environments
• Many body heat radiation and heat transfer in the presence of a non-absorbing background medium
• Near-field radiative heat transfer between arbitrarily-shaped objects and a surface
• Radiative heat transfer between metallic gratings using adaptive spatial resolution
• Near-field heat transfer between multilayer hyperbolic metamaterials
• Creation and protection of entanglement in systems out of thermal equilibrium
• Heat radiation and transfer for point particles in arbitrary geometries
• Fluctuating Surface Currents: A New Algorithm for Efficient Prediction of Casimir Interactions among Arbitrary Materials in Arbitrary Geometries. I. Theory
• Strong geometry dependence of the Casimir force between interpenetrated rectangular gratings
• On Super-Planckian thermal emission in far field regime
• Giant Casimir torque between rotated gratings and the $\theta =0$ anomaly
• Perspective on Near-Field Radiative Heat Transfer
• Quantum thermal machine acting on a many-body quantum system: role of correlations in thermodynamic tasks
• Heat radiation and transfer in confinement
• Otto engine beyond its standard quantum limit
• Steady entanglement out of thermal equilibrium
• Nonreciprocal radiative heat transfer between two planar bodies
• Radiative thermal rectification in many-body systems
• Radiative heat transfer between metallic nanoparticle clusters in both near field and far field
• Super-Planckian far-zone thermal emission from asymmetric hyperbolic metamaterials
• Near field propulsion forces from nonreciprocal media
• Casimir-Lifshitz force out of thermal equilibrium between dielectric gratings
• Anomalous near-field heat transfer between a cylinder and a perforated surface
• Quantum systems in a stationary environment out of thermal equilibrium
• Casimir interaction between a sphere and a grating
• Fluctuation-Induced Phenomena in Nanoscale Systems: Harnessing the Power of Noise
• Proximity force approximation and specular reflection: Application of the WKB limit of Mie scattering to the Casimir effect
• Fluctuational electrodynamics of hyperbolic metamaterials
• Linear response relations in fluctuational electrodynamics
• The Casimir pressure between metallic plates out of thermal equilibrium: Proposed test for the relaxation properties of free electrons
• Strongly coupled near-field radiative and conductive heat transfer between planar objects
• Overcoming limits to near-field radiative heat transfer in uniform planar media through multilayer optimization
• Thermal near-field energy density and LDOS in topological 1D SSH chains and 2D SSH lattices of plasmonic nanoparticles
• Observing the Casimir-Lifshitz Force Out of Thermal Equilibrium
• Transport in electron-photon systems
• Casimir forces between cylinders at different temperatures
• Anisotropic particles near surfaces: Self-propulsion and friction
• Dynamics of an elementary quantum system in environments out of thermal equilibrium
• Non equilibrium dissipation-driven steady many-body entanglement
• Measurement of Near-field Thermal Radiation between Multilayered Metamaterials
• Casimir-Polder force and torque for anisotropic molecules close to conducting planes and their effects on CO${}_2$
• Small distance expansion for radiative heat transfer between curved objects
• Casimir-Lifshitz force between graphene-based structures out of thermal equilibrium
• Microscopic theory of photon-induced energy, momentum, and angular momentum transport in the nonequilibrium regime
• Nonequilibrium effects in the Casimir force between two similar metallic plates kept at different temperatures
• Coupled quantum oscillators within independent quantum reservoirs
• Casimir-Polder attraction and repulsion between nanoparticles and graphene in out-of-thermal-equilibrium conditions
• Zero Casimir Force in Axion Electrodynamics and the Search for a New Force
• Photon mediated energy, linear and angular momentum transport in fullerene and graphene systems beyond local equilibrium
• Amplified and directional spontaneous emission from arbitrary composite bodies: self-consistent treatment of Purcell effect below threshold
• Light-induced optomechanical forces in graphene waveguides
• Hybrid Thermal Yagi-Uda Nanoantennas for Directional and Narrow Band Long-wavelength IR Radiation Sources
• Enhancing Near-Field Heat Transfer in Composite Media: Effects of the Percolation Transition
• Quantum vacuum photon-modes and superhydrophobicity
• Landauer's formula breakdown for radiative heat transfer and non-equilibrium Casimir forces
• Topological Materials for Near-Field Radiative Heat Transfer
• Nonequilibrium Casimir-Polder plasmonic interactions
• Tunable non-additivity in Casimir-Lifshitz force between graphene gratings
• Thermal self-oscillations in radiative heat exchange
• Near-field radiative heat transfer between shifted graphene gratings
• Classical Casimir interaction of perfectly conducting sphere and plate
• Exact formulas for radiative heat transfer between planar bodies under arbitrary temperature profiles: modified asymptotics and sign-flip transitions
• Radiative cooling induced by time-symmetry breaking in periodically-driven systems
• Effect of graphene grating coating on near-field radiative heat transfer
• Nonequilibrium Casimir-Polder Interaction Between Nanoparticles and Substrates Coated with Gapped Graphene
• Impact of Mass-Gap on the Dispersion Interaction of Nanoparticles with Graphene out of Thermal Equilibrium
• Saturation of radiative heat transfer due to many-body thermalization
• Near-field radiative heat transfer between a nanoparticle and a graphene grating
• Casimir repulsion with biased semiconductors
• General trace formula for heat flux fluctuations
• Casimir Interaction Between a Plane and a Sphere: Correction to the Proximity-Force Approximation at Intermediate Temperatures
• Nonequilibrium Casimir-Polder Force between Nanoparticles and Graphene-Coated Silica Plate: Combined Effect of the Chemical Potential and Mass Gap
• Distributed thermal tasks on many-body systems through a single quantum machine
• Mechanical relations between conductive and radiative heat transfer
• Relaxation of two coupled quantum oscillators to quasi-equilibrium states based on path integrals
• Dynamics and stationarity of two coupled arbitrary oscillators interacting with separate reservoirs
• Thermomechanical bistability of phase-transition oscillators driven by near-field heat exchange
• Casimir-Lifshitz force for graphene-covered gratings
• Novel approaches to tailor and tune light-matter interactions at the nanoscale
• Casimir-Polder force for a polarizable molecule near a dielectric substrate out of thermal equilibrium
• Thermodynamic perspective on quantum fluctuations
• Time-dependent radiative heat flux after the beginning of thermal radiation
• Casimir-Polder Force on Atoms or Nanoparticles from the Gapped and Doped Graphene: Asymptotic Behavior at Large Separations
• Tailoring the van der Waals interaction with rotation
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
• Nonequilibrium Casimir pressure for two graphene-coated plates: Quantum field theoretical approach
• The thermalization of a two-level atom in a planar dielectric system out of thermal equilibrium
• Tomography of near-field radiative heat exchange between mesoscopic bodies immersed in a thermal bath
• Generalized coupled dipole method for thermal far-field radiation
• Controlling the atom-sphere interaction with an external electric field
• Propulsion force and heat transfer for nonreciprocal nanoparticles
• Towards an experimental proof of superhydrophobicity enhanced by quantum fluctuations freezing on a broadband-absorber metamaterial
• Normal and lateral Casimir-Lifshitz forces between a nanoparticle and a graphene grating
• Casimir effect in twisted photonic gratings with in-plane chirality
• Effect of top metallic contacts on energy conversion performances for near-field thermophotovoltaics