For citation:
Davidovich M. V., Glukhova O. E. Correlation relations for graphene and its thermal radiation. Izvestiya of Saratov University. Physics , 2023, vol. 23, iss. 2, pp. 167-178. DOI: 10.18500/1817-3020-2023-23-2-167-178, EDN: GTHXWI
Correlation relations for graphene and its thermal radiation
Background and Objectives: The thermal radiation of a graphene sheet is considered, as well as the power absorbed by the specified sheet per unit surface in the thermodynamic equilibrium with vacuum radiation. From the comparison of these values, correlation relations are established for fluctuations in the surface current density in graphene and in a 2D conductive sheet similar to it, described by surface conductivity. These relations should be used in the theory of dispersion interaction of structures with graphene, using the Rytov–Levin and Lifshitz method of introducing fluctuation sources into Maxwell’s equations. Model and Methods: We consider the equilibrium of a graphene sheet with a Planck thermal field from the principle of detailed equilibrium. From this we get correlation relations. With their use, we obtain the density of thermal radiation. Results: The thermal radiation densities of a graphene sheet at different temperatures have been obtained, as well as the specific heat transfer between two graphene sheets at different temperatures. Conclusion: The obtained correlations may be used for calculations of dispersion forces.
- . Levin M. L., Rytov S. M. Teoriya ravnovesnykh teplovykh fluktuatsiy v elektrodinamike [Theory of equilibrium thermal fluctuations in electrodynamics]. Moscow, Nauka, 1967. 308 p. (in Russian).
- Gusynin V. P., Sharapov S. G., Carbotte J. P. Sum rules for the optical and Hall conductivity in graphene. Phys. Rev. B, 2007, vol. 75, article no. 165407. https://doi.org/10.1103/PhysRevB.75.165407
- Falkovsky L. A. Optical properties of graphene and IV–VI semiconductors. Physics-Uspekhi, 2008, vol. 51, no. 9, pp. 887–897. https://doi.org/10.1070/PU2008v051n09ABEH006625
- Hanson G. W. Dyadic Green’s functions and guided surface waves for a surface conductivity model of graphene. J. Appl. Phys., 2008, vol. 103, article no. 064302. https://doi.org/10.1063/1.2891452
- Lovat G., Hanson G. W., Araneo R., Burghignoli P. Semiclassical spatially dispersive intraband conductivity tensor and quantum capacitance of graphene. Phys. Rev. B, 2013, vol. 87, article no. 115429. https://doi.org/10.1103/PhysRevB.87.115429
- Volokitin A. I., Persson B. N. J. Effect of the electric current on the Casimir force between graphene sheets. Jetp Lett., 2013, vol. 98, pp. 143–149. https://doi.org/10.1134/S0021364013160145
- Lifshitz E. The theory of molecular attractive forces between solids. Soviet Phys., 1956, vol. 2, no. 1, pp. 73–83. https://doi.org/10.1016/B978-0-08-036364-6.50031-4
- Markov G. T., Chaplin A. F. Vozbuzhdenie elektromagnitnykh voln [Excitation of electromagnetic waves]. Moscow, Radio i svyaz’, 1983. 296 p. (in Russian).
- Gol’dshtejn L. D., Zernov N. V. Elektromagnitnye polya i volny [Electromagnetic fields and waves]. Moscow, Sov. Radio, 1971. 664 p. (in Russian).
- Wallace P. R. The Band Theory of Graphite. Phys. Rev., 1947, vol. 71, pp. 622–634. https://doi.org/10.1103/PhysRev.71.622
- Polder D., Van Hove M. Theory of Radiative Heat Transfer between Closely Spaced Bodies. Phys. Rev. B, 1971, vol. 4, pp. 3303–3314. https://doi.org/10.1103/PhysRevB.4.3303
- Petrunin A. A., Slepchenkov M. M., Glukhova O. E. Effect of Functionalization with Potassium Atoms on the Electronic Properties of a 3D Glass-like Nanomaterial Reinforced with Carbon Nanotubes: In Silico Study. J. Compos. Sci., 2022, vol. 6, no. 7, article no. 186. https://doi.org/10.3390/jcs6070186
- Davidovich M. V. On the Inversion of the Integrodifferential Operator of a Thin Linear Nanoantenna and Dispersion Forces. Technical Physics, 2022, vol. 67, pp. 468–486. https://doi.org/10.1134/S106378422207012X
- Bimonte G., Klimchitskaya G. L., Mostepanenko V. M. How to observe the giant thermal effect in the Casimir force for graphene systems. Phys. Rev. A, 2017, vol. 96, article no. 012517. https://doi.org/10.1103/PhysRevA.96.012517
- 1344 reads