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Hysteresis-driven radiative Mpemba effect in phase-change nanostructures

F. Herz*

  • *Contact author: florian.herz@uol.de

Phys. Rev. B 114, 235406 – Published 6 October, 2026

DOI: https://doi.org/10.1103/hnjl-fwl7

Abstract

The Mpemba effect states that initially hotter systems cool faster than colder ones. While known in convective, conductive, and quantum systems, its radiative analog is unexplored. Here, this anomaly is realized via phase-change hysteresis of a VO2 nanoparticle near a SiC substrate. After analytically deriving an onset condition, the phase space is mapped. Crucially, latent heat acts as a thermal buffer enabling both ordinary and inverse effects. Near-field coupling governs the relaxation time and enables a passive effect where memory is stored externally via substrate reflection.

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References (58)

  1. E. B. Mpemba and D. G. Osborne, Cool? Phys. Educ. 4, 172 (1969).
  2. A. Kumar and J. Bechhoefer, Exponentially faster cooling in a colloidal system, Nature (London) 584, 64 (2020).
  3. A. Kumar, R. Chétrite, and J. Bechhoefer, Anomalous heating in a colloidal system, Proc. Natl. Acad. Sci. USA 119, e2118484119 (2022).
  4. R. Chétrite, A. Kumar, and J. Bechhoefer, The metastable Mpemba effect corresponds to a non-monotonic temperature dependence of extractable work, Front. Phys. 9, 654271 (2021).
  5. A. Lasanta, F. V. Reyes, A. Prados, and A. Santos, When the hotter cools more quickly: Mpemba effect in granular fluids, Phys. Rev. Lett. 119, 148001 (2017).
  6. Z. Lu and O. Raz, Nonequilibrium thermodynamics of the Markovian Mpemba effect and its inverse, Proc. Natl. Acad. Sci. USA 114, 5083 (2017).
  7. P. Ben-Abdallah, Mpemba effect in many-body systems near equilibrium, Phys. Rev. B 114, 074306 (2026).
  8. S. A. Shapira, Y. Shapira, J. Markov, G. Teza, N. Akerman, O. Raz, and R. Ozeri, Inverse Mpemba effect demonstrated on a single trapped ion qubit, Phys. Rev. Lett. 133, 010403 (2024).
  9. F. Ares, S. Murciano, and P. Calabrese, Entanglement asymmetry as a probe of symmetry breaking, Nat. Commun. 14, 2036 (2023).
  10. L. Kh. Joshi, J. Franke, A. Rath, F. Ares, S. Murciano, F. Kranzl, R. Blatt, P. Zoller, B. Vermersch, P. Calabrese, C. F. Roos, and M. K. Joshi, Observing the quantum Mpemba effect in quantum simulations, Phys. Rev. Lett. 133, 010402 (2024).
  11. J. Zhang, G. Xia, C.-W. Wu, T. Chen, Q. Zhang, Y. Xie, W.-B. Su, W. Wu, C.-W. Qiu, P.-X. Chen, W. Li, H. Jing, and Y.-L. Zhou, Observation of quantum strong Mpemba effect, Nature Commun. 16, 301 (2025).
  12. J. Bechhoefer, A. Kumar, and R. Chétrite, A fresh understanding of the Mpemba effect, Nat. Rev. Phys. 3, 534 (2021).
  13. G. Teza, J. Bechhoefer, A. Lasanta, O. Raz, and M. Vucelja, Speedups in nonequilibrium thermal relaxation: Mpemba and related effects, Phys. Rep. 1164, 1 (2026).
  14. D. J. Strachan, A. Purkayastha, and S. R. Clark, Non-Markovian quantum Mpemba effect, Phys. Rev. Lett. 134, 220403 (2025).
  15. M. Baity-Jesi, E. Calore, A. Cruz, L. Fernandez, J. Gil-Narvión, A. Gordillo-Guerrero, D. I. niguez, A. Lasanta, A. Maiorano, E. Marinari, V. Martin-Mayor, J. Moreno-Gordo, A. Sudupe, D. Navarro, G. Parisi, S. Perez-Gaviro, F. Ricci-Tersenghi, J. Ruiz-Lorenzo, S. Schifano, B. Seoane, et al., The Mpemba effect in spin glasses is a persistent memory effect, Proc. Natl. Acad. Sci. USA 116, 15350 (2019).
  16. Y. Yang, S. Basu, and L. Wang, Radiation-based near-field thermal rectification with phase transition materials, Appl. Phys. Lett. 103, 163101 (2013).
  17. P. Ben-Abdallah and S.-A. Biehs, Phase-change radiative thermal diode, Appl. Phys. Lett. 103, 191907 (2013).
  18. P. Ben-Abdallah and S.-A. Biehs, Near-field thermal transistor, Phys. Rev. Lett. 112, 044301 (2014).
  19. K. Joulain, Y. Ezzahri, J. Drevillon, and P. Ben-Abdallah, Modulation and amplification of radiative far field heat transfer: Towards a simple radiative thermal transistor, Appl. Phys. Lett. 106, 133505 (2015).
  20. P. Ben-Abdallah and S.-A. Biehs, Towards Boolean operations with thermal photons, Phys. Rev. B 94, 241401(R) (2016).
  21. C. Kathmann, M. Reina, R. Messina, P. Ben-Abdallah, and S.-A. Biehs, Scalable radiative thermal logic gates based on nanoparticle networks, Sci. Rep. 10, 3596 (2020).
  22. V. Kubytskyi, S.-A. Biehs, and P. Ben-Abdallah, Radiative bistability and thermal memory, Phys. Rev. Lett. 113, 074301 (2014).
  23. S. Dyakov, J. Dai, M. Yan, and M. Qiu, Near field thermal memory based on radiative phase bistability of VO2, J. Phys. D: Appl. Phys. 48, 305104 (2015).
  24. P. J. van Zwol, K. Joulain, P. Ben-Abdallah, and J. Chevrier, Phonon polaritons enhance near-field thermal transfer across the phase transition of VO2, Phys. Rev. B 84, 161413(R) (2011).
  25. F. Incropera, T. Bergman, D. DeWitt, and A. Lavine, Fundamentals of Heat and Mass Transfer, 6th ed. (John Wiley & Sons, New York, 2007).
  26. See Supplemental Material at http://link.aps.org/supplemental/10.1103/hnjl-fwl7 for a detailed overview of the formulas used for the time evolution of different initial temperatures and a description of the spectral power in metallic and in dielectric phase.
  27. M. Tschikin, S.-A. Biehs, F. Rosa, and P. Ben-Abdallah, Radiative cooling of nanoparticles close to a surface, Eur. Phys. J. B 85, 233 (2012).
  28. C.-T. Tai, Dyadic Green's Functions in Electromagnetic Theory (Intext Educational Publishers, Scranton, 1971).
  29. J. Sipe, New Green-function formalism for surface optics, J. Opt. Soc. Am. B 4, 481 (1987).
  30. J.-P. Mulet, K. Joulain, R. Carminati, and J.-J. Greffet, Nanoscale radiative heat transfer between a small particle and a plane surface, Appl. Phys. Lett. 78, 2931 (2001).
  31. E. Rousseau, A. Siria, G. Jourdan, S. Volz, F. Comin, J. Chevrier, and J.-J. Greffet, Radiative heat transfer at the nanoscale, Nat. Photon. 3, 514 (2009).
  32. O. Huth, F. Rüting, S.-A. Biehs, and M. Holthaus, Shape-dependence of near-field heat transfer between a spheroidal nanoparticle and a flat surface, Eur. Phys. J. Appl. Phys. 50, 10603 (2010).
  33. H. Kallel, R. Carminati, and K. Joulain, Temperature of a nanoparticle above a substrate under radiative heating and cooling, Phys. Rev. B 95, 115402 (2017).
  34. F. Herz, Z. An, S. Komiyama, and S.-A. Biehs, Revisiting the dipole model for a thermal infrared near-field spectroscope, Phys. Rev. Appl. 10, 044051 (2018).
  35. F. Herz and S.-A. Biehs, Dipole model for far-field thermal emission of a nanoparticle above a planar substrate, J. Quant. Spectrosc. Radiat. Transf. 266, 107572 (2021).
  36. F. Herz and S.-A. Biehs, Generalized coupled dipole method for thermal far-field radiation, Phys. Rev. B 105, 205422 (2022).
  37. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  38. A. Barker, H. Verleur, and H. Guggenheim, Infrared optical properties of vanadium dioxide above and below the transition temperature, Phys. Rev. Lett. 17, 1286 (1966).
  39. J. Goodenough, The two components of the crystallographic transition in VO2, J. Solid State Chem. 3, 490 (1971).
  40. H. S. Choi, J. S. Ahn, J. H. Jung, T. W. Noh, and D. H. Kim, Mid-infrared properties of a VO2 film near the metal-insulator transition, Phys. Rev. B 54, 4621 (1996).
  41. P. U. Jepsen, B. M. Fischer, A. Thoman, H. Helm, J. Y. Suh, R. Lopez, and R. F. Haglund, Jr., Metal-insulator phase transition in a VO2 thin film observed with terahertz spectroscopy, Phys. Rev. B 74, 205103 (2006).
  42. I. Mayergoyz, Mathematical Models of Hysteresis and Their Applications (Academic Press, New York, 2003).
  43. R. Tanasa, C. Enachescu, A. Stancu, J. Linares, E. Codjovi, F. Varret, and J. Haasnoot, First-order reversal curve analysis of spin-transition thermal hysteresis in terms of physical-parameter distributions and their correlations, Phys. Rev. B 71, 014431 (2005).
  44. J. Ordonez-Miranda, Y. Ezzahri, K. Joulain, J. Drevillon, and J. J. Alvarado-Gil, Modeling of the electrical conductivity, thermal conductivity and specific heat capacity of VO2, Phys. Rev. B 98, 075144 (2018).
  45. G. Chandrashekhar, H. Barros, and J. Honig, Heat capacity of VO2 single crystals, Mater. Res. Bull. 8, 369 (1973).
  46. T. Kawakubo and T. Nakagawa, Phase transition in VO2, J. Phys. Soc. Jpn. 19, 517 (1964).
  47. X. Zhong, X. Zhang, A. Gupta, and P. LeClair, Avalanche breakdown in microscale VO2 structures, J. Appl. Phys. 110, 084516 (2011).
  48. C. Berglund and H. J. Guggenheim, Electronic properties of VO2 near the semiconductor-metal transition, Phys. Rev. 185, 1022 (1969).
  49. S. Rytov, Y. Kravtsov, and V. Tatarskii, Principles of Statistical Radiophysics, Vol. 3: Elements of Random Fields (Springer, Berlin, 1989).
  50. O. S. Narayanaswamy, A model of structural relaxation in glass, J. Am. Ceram. Soc. 54, 491 (1971).
  51. L. Song, M. Gao, W. Xu, J. Huo, and J.-Q. Wang, Mpembalike abnormal aging kinetics of glasses derived from β relaxation, Phys. Rev. Lett. 136, 207102 (2026).
  52. K. Zhang, B. Zhang, J. Song, Z. Luo, and Q. Cheng, Modulation of near-field radiative heat transfer between nanoparticles supported by a strained hbn film with graphene covered, Int. J. Therm. Sci. 198, 108898 (2024).
  53. M. M. Qazilbash, M. Brehm, G. O. Andreev, A. Frenzel, P.-C. Ho, B.-G. Chae, B.-J. Kim, S. J. Yun, H.-T. Kim, A. V. Balatsky, O. G. Shpyrko, M. B. Maple, F. Keilmann, and D. Basov, Minfrared spectroscopy and nano-imaging of the insulator-to-metal transition in vanadium dioxide, Phys. Rev. B 79, 075107 (2009).
  54. W. Chew, Waves and Fields in Inhomogenous Media (Wiley-IEEE Press, New York, 1995), Chap. 7.
  55. M. Wagner, Z. Fei, A. S. McLeod, A. S. Rodin, W. Bao, E. G. Iwinski, Z. Zhao, M. Goldflam, M. Liu, G. Dominguez, M. Thiemens, M. M. Fogler, A. H. Castro Neto, C. N. Lau, S. Amarie, F. Keilmann, and D. N. Basov, Ultrafast and nanoscale plasmonic phenomena in exfoliated graphene revealed by infrared pump-probe nanoscopy, Nano Lett. 14, 894 (2014).
  56. S. A. Dönges, O. Khatib, B. T. O'Callahan, J. M. Atkin, J. H. Park, D. Cobden, and M. B. Raschke, Ultrafast nanoimaging of the photoinduced phase transition dynamics in VO2, Nano Lett. 16, 3029 (2016).
  57. P. Jin and S. T. S. Tanemura, Relationship between transition temperature and x in V1−xWxO2 films deposited by dual-target magnetron sputtering, Jpn. J. Appl. Phys. 34, 2459 (1995).
  58. X. Tan, T. Yao, R. Long, Z. Sun, Y. Feng, H. Cheng, X. Yuan, W. Zhang, Q. Liu, C. Wu, Y. Xie, and S. Wei, Unraveling metal-insulator transition mechanism of VO2 triggered by tungsten doping, Sci. Rep. 2, 466 (2012).

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