Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Memory formation in matter

Nathan C. Keim*,†, Joseph D. Paulsen*,‡, Zorana Zeravcic§, Srikanth Sastry, and Sidney R. Nagel

Nathan C. Keim*,†

  • Department of Physics, California Polytechnic State University, San Luis Obispo, California 93407, USA

Joseph D. Paulsen*,‡

  • Department of Physics and Soft and Living Matter Program, Syracuse University, Syracuse, New York 13244, USA

Zorana Zeravcic§

  • Gulliver Lab, CNRS UMR 7083, ESPCI PSL Research University, 75005 Paris, France

Srikanth Sastry

  • Jawaharlal Nehru Centre for Advanced Scientific Research, Bengaluru 560064, India

Sidney R. Nagel

  • The James Franck and Enrico Fermi Institutes and The Department of Physics, The University of Chicago, Chicago, Illinois 60637, USA

  • *These authors contributed equally to this work.
  • nkeim@calpoly.edu
  • jdpaulse@syr.edu
  • §zorana.zeravcic@espci.fr
  • sastry@jncasr.ac.in
  • srnagel@uchicago.edu

Rev. Mod. Phys. 91, 035002 – Published 26 July, 2019

DOI: https://doi.org/10.1103/RevModPhys.91.035002

Abstract

Memory formation in matter is a theme of broad intellectual relevance; it sits at the interdisciplinary crossroads of physics, biology, chemistry, and computer science. Memory connotes the ability to encode, access, and erase signatures of past history in the state of a system. Once the system has completely relaxed to thermal equilibrium, it is no longer able to recall aspects of its evolution. The memory of initial conditions or previous training protocols will be lost. Thus many forms of memory are intrinsically tied to far-from-equilibrium behavior and to transient response to a perturbation. This general behavior arises in diverse contexts in condensed-matter physics and materials, including phase change memory, shape memory, echoes, memory effects in glasses, return-point memory in disordered magnets, as well as related contexts in computer science. Yet, as opposed to the situation in biology, there is currently no common categorization and description of the memory behavior that appears to be prevalent throughout condensed-matter systems. Here the focus is on material memories. The basic phenomenology of a few of the known behaviors that can be understood as constituting a memory will be described. The hope is that this will be a guide toward developing the unifying conceptual underpinnings for a broad understanding of memory effects that appear in materials.

Physics Subject Headings (PhySH)

Article Text

References (174)

  1. Ackerson, B., and P. Pusey, 1988, Phys. Rev. Lett. 61, 1033.
  2. Adhikari, M., and S. Sastry, 2018, Eur. Phys. J. E 41, 105.
  3. Amir, A., Y. Oreg, and Y. Imry, 2012, Proc. Natl. Acad. Sci. U.S.A. 109, 1850.
  4. Amit, D. J., 1989, Modeling Brain Function: The World of Attractor Neural Networks (Cambridge University Press, Cambridge, England).
  5. Amit, D. J., and S. Fusi, 1994, Neural Comput. 6, 957.
  6. Amit, D. J., H. Gutfreund, and H. Sompolinsky, 1985, Phys. Rev. Lett. 55, 1530.
  7. Austen, Jane, 1994, Mansfield Park (Project Gutenberg, Urbana, Illinois); retrieved June 4, 2019 from http://www.gutenberg.org/ebooks/141.
  8. Bacot, V., M. Labousse, A. Eddi, M. Fink, and E. Fort, 2016, Nat. Phys. 12, 972.
  9. Bannantine, J. A., J. J. Comer, and J. L. Handrock, 1990, Fundamentals of Metal Fatigue Analysis, Vol. 90 (Prentice Hall, Englewood Cliffs, NJ).
  10. Barker, J., D. Schreiber, B. Huth, and D. H. Everett, 1983, Proc. R. Soc. A 386, 251.
  11. Barton, J. P., M. Kardar, and A. K. Chakraborty, 2015, Proc. Natl. Acad. Sci. U.S.A. 112, 1965.
  12. Bellon, L., S. Ciliberto, and C. Laroche, 2002, Eur. Phys. J. B 25, 223.
  13. Benna, M. K., and S. Fusi, 2015, arXiv:1507.07580.
  14. Berthier, L., and J.-P. Bouchaud, 2002, Phys. Rev. B 66, 054404.
  15. Bertin, E. M., J. Bouchaud, J. Drouffe, and C. Godreche, 2003, J. Phys. A 36, 10701.
  16. Bhattacharya, K., 2003, Microstructure of Martensite: Why It Forms and How It Gives Rise to the Shape-Memory Effect, Vol. 2 (Oxford University Press, New York).
  17. Bieling, P., T.-D. Li, J. Weichsel, R. McGorty, P. Jreij, B. Huang, D. A. Fletcher, and R. D. Mullins, 2016, Cell 164, 115.
  18. Bouchaud, J.-P., V. Dupuis, J. Hammann, and E. Vincent, 2001, Phys. Rev. B 65, 024439.
  19. Bouchbinder, E., and J. S. Langer, 2010, Soft Matter 6, 3065.
  20. Brown, S. E., G. Grüner, and L. Mihály, 1986, Solid State Commun. 57, 165.
  21. Budhu, M., 2010, Soil Mechanics and Foundations (Wiley, New York).
  22. Burton, J. C., and S. R. Nagel, 2016, Phys. Rev. E 93, 032905.
  23. Cantournet, S., R. Desmorat, and J. Besson, 2009, Int. J. Solids Struct. 46, 2255.
  24. Carr, H. Y., and E. M. Purcell, 1954, Phys. Rev. 94, 630.
  25. Chakraverty, S., M. Bandyopadhyay, S. Chatterjee, S. Dattagupta, A. Frydman, S. Sengupta, and P. A. Sreeram, 2005, Phys. Rev. B 71, 054401.
  26. Chan Vili, Y. Y., 2007, Textile Res. J. 77, 290.
  27. Chluba, C., W. Ge, R. L. de Miranda, J. Strobel, L. Kienle, E. Quandt, and M. Wuttig, 2015, Science 348, 1004.
  28. Cohen, I., M. P. Brenner, J. Eggers, and S. R. Nagel, 1999, Phys. Rev. Lett. 83, 1147.
  29. Cohen, I., and S. R. Nagel, 2001, Phys. Fluids 13, 3533.
  30. Coppersmith, S. N., 1987, Phys. Rev. A 36, 3375.
  31. Coppersmith, S. N., T. C. Jones, L. P. Kadanoff, A. Levine, J. P. McCarten, S. R. Nagel, S. C. Venkataramani, and X. Wu, 1997, Phys. Rev. Lett. 78, 3983.
  32. Coppersmith, S. N., and P. B. Littlewood, 1987, Phys. Rev. B 36, 311.
  33. Corté, L., P. M. Chaikin, J. P. Gollub, and D. J. Pine, 2008, Nat. Phys. 4, 420.
  34. Cubuk, E. D., et al., 2017, Science 358, 1033.
  35. Cugliandolo, L., G. Lozano, and H. Lozza, 2004, Eur. Phys. J. B 41, 87.
  36. Deutsch, J. M., A. Dhar, and O. Narayan, 2004, Phys. Rev. Lett. 92, 227203.
  37. Deutsch, J. M., and O. Narayan, 2003, Phys. Rev. Lett. 91, 200601.
  38. Diani, J., B. Fayolle, and P. Gilormini, 2009, Eur. Polym. J. 45, 601.
  39. Dillavou, S., and S. M. Rubinstein, 2018, Phys. Rev. Lett. 120, 224101.
  40. Eggers, J., 1997, Rev. Mod. Phys. 69, 865.
  41. Eggers, J., and T. F. Dupont, 1994, J. Fluid Mech. 262, 205.
  42. Emmett, P. H., and M. Cines, 1947, J. Phys. Chem. 51, 1248.
  43. Fiocco, D., G. Foffi, and S. Sastry, 2014, Phys. Rev. Lett. 112, 025702.
  44. Fiocco, D., G. Foffi, and S. Sastry, 2015, J. Phys. Condens. Matter 27, 194130.
  45. Fleming, R., and L. Schneemeyer, 1983, Phys. Rev. B 28, 6996.
  46. Fleming, R. M., and L. F. Schneemeyer, 1986, Phys. Rev. B 33, 2930.
  47. Fukao, K., and A. Sakamoto, 2005, Phys. Rev. E 71, 041803.
  48. Fusi, S., 2017, arXiv:1706.04946.
  49. Fusi, S., and L. F. Abbott, 2007, Nat. Neurosci. 10, 485.
  50. Gadala-Maria, F., and A. Acrivos, 1980, J. Rheol. 24, 799.
  51. Gallardo, M. C., J. Manchado, F. J. Romero, J. Del Cerro, E. K. Salje, A. Planes, E. Vives, R. Romero, and M. Stipcich, 2010, Phys. Rev. B 81, 174102.
  52. Gilbert, I., G.-W. Chern, B. Fore, Y. Lao, S. Zhang, C. Nisoli, and P. Schiffer, 2015, Phys. Rev. B 92, 104417.
  53. Gill, J., 1981, Solid State Commun. 39, 1203.
  54. Golding, B., and J. E. Graebner, 1976, Phys. Rev. Lett. 37, 852.
  55. Goldstein, R. E., A. I. Pesci, and M. J. Shelley, 1993, Phys. Rev. Lett. 70, 3043.
  56. Goodrich, C. P., A. J. Liu, and S. R. Nagel, 2015, Phys. Rev. Lett. 114, 225501.
  57. Gould, R., 1965, Phys. Lett. 19, 477.
  58. Hahn, E. L., 1950, Phys. Rev. 80, 580.
  59. Haw, M. D., W. C. K. Poon, P. N. Pusey, P. Hebraud, and F. Lequeux, 1998, Phys. Rev. E 58, 4673.
  60. Hébraud, P., F. Lequeux, J.-P. Munch, and D. J. Pine, 1997, Phys. Rev. Lett. 78, 4657.
  61. Hertz, J., A. Krogh, and R. G. Palmer, 1991, Introduction to the Theory of Neural Computation (Addison-Wesley Longman Publishing Co., Inc., Boston).
  62. Hexner, D., A. J. Liu, and S. R. Nagel, 2018a, Phys. Rev. E 97, 063001.
  63. Hexner, D., A. J. Liu, and S. R. Nagel, 2018b, Soft Matter 14, 312.
  64. Hill, R., and D. Kaplan, 1965, Phys. Rev. Lett. 14, 1062.
  65. Hopfield, J. J., 1982, Proc. Natl. Acad. Sci. U.S.A. 79, 2554.
  66. Hovorka, O., and G. Friedman, 2008, Phys. Rev. Lett. 100, 097201.
  67. Jaeger, H. M., S. R. Nagel, and R. P. Behringer, 1996, Rev. Mod. Phys. 68, 1259.
  68. James, R. D., 2019, Bull. Am. Math. Soc. 56, 1.
  69. Jiles, D., 2016, Introduction to Magnetism and Magnetic Materials (CRC Press/Taylor & Francis Group, Boca Raton).
  70. Jiménez, S., V. Martín-Mayor, and S. Perez-Gaviro, 2005, Phys. Rev. B 72, 054417.
  71. Jonason, K., P. Nordblad, E. Vincent, J. Hammann, and J.-P. Bouchaud, 2000, Eur. Phys. J. B 13, 99.
  72. Jonason, K., E. Vincent, J. Hammann, J. Bouchaud, and P. Nordblad, 1998, Phys. Rev. Lett. 81, 3243.
  73. Kaiser, J., 1950, “An Investigation into the Occurrence of Noises in Tensile Tests or a Study of Acoustic Phenomena,” Ph.D. thesis (Technical University, Munich, Germany).
  74. Karmakar, S., E. Lerner, and I. Procaccia, 2010, Phys. Rev. E 82, 026104.
  75. Kegel, W., and R. Gould, 1965, Phys. Lett. 19, 531.
  76. Keim, N. C., 2011, Phys. Rev. E 83, 056325.
  77. Keim, N. C., and P. E. Arratia, 2014, Phys. Rev. Lett. 112, 028302.
  78. Keim, N. C., J. Hass, B. Kroger, and D. Wieker, 2018, arXiv:1809.08505.
  79. Keim, N. C., P. Møller, W. W. Zhang, and S. R. Nagel, 2006, Phys. Rev. Lett. 97, 144503.
  80. Keim, N. C., and S. R. Nagel, 2011, Phys. Rev. Lett. 107, 010603.
  81. Keim, N. C., J. D. Paulsen, and S. R. Nagel, 2013, Phys. Rev. E 88, 032306.
  82. Keller, J. B., and M. J. Miksis, 1983, SIAM J. Appl. Math. 43, 268.
  83. Kim, H. S., and T. G. Mason, 2017, Adv. Colloid Interface Sci. 247, 397.
  84. Komori, T., H. Yoshino, and H. Takayama, 2000, J. Phys. Soc. Jpn. 69, 1192.
  85. Korpel, A., and M. Chatterjee, 1981, Proc. IEEE 69, 1539.
  86. Kovacs, A., 1963, Adv. Polym. Sci. 3, 394.
  87. Kovacs, A. J., J. J. Aklonis, J. M. Hutchinson, and A. R. Ramos, 1979, J. Polym. Sci., Polym. Phys. Ed. 17, 1097.
  88. Kühner, S., et al., 2009, Science 326, 1235.
  89. Kurita, K., and N. Fujii, 1979, Geophys. Res. Lett. 6, 9.
  90. Kurnit, N., I. Abella, and S. Hartmann, 1964, Phys. Rev. Lett. 13, 567.
  91. Lagoudas, D. C., 2008, Shape Memory Alloys: Modeling and Engineering Applications (Springer Science & Business Media, New York).
  92. Lahini, Y., O. Gottesman, A. Amir, and S. M. Rubinstein, 2017, Phys. Rev. Lett. 118, 085501.
  93. Lasanta, A., F. V. Reyes, A. Prados, and A. Santos, 2019, New J. Phys. 21, 033042.
  94. Laurson, L., and M. J. Alava, 2012, Phys. Rev. Lett. 109, 155504.
  95. Lavrentovich, M. O., A. J. Liu, and S. R. Nagel, 2017, Phys. Rev. E 96, 020101(R).
  96. Lee, M. H., and E. M. Furst, 2008, Phys. Rev. E 77, 041408.
  97. Lendlein, A., H. Jiang, O. Jünger, and R. Langer, 2005, Nature (London) 434, 879.
  98. Lendlein, A., and S. Kelch, 2002, Angew. Chem., Int. Ed. Engl. 41, 2034.
  99. Lin, N. Y., C. Ness, M. E. Cates, J. Sun, and I. Cohen, 2016, Proc. Natl. Acad. Sci. U.S.A. 113, 10774.
  100. Liu, A. J., and S. R. Nagel, 2010, Annu. Rev. Condens. Matter Phys. 1, 347.
  101. Lundberg, M., K. Krishan, N. Xu, C. S. O’Hern, and M. Dennin, 2008, Phys. Rev. E 77, 041505.
  102. Maerki, P., 2005, Wikimedia Commons.
  103. Maiorano, A., E. Marinari, and F. Ricci-Tersenghi, 2005, Phys. Rev. B 72, 104411.
  104. Majumdar, S., L. C. Foucard, A. J. Levine, and M. L. Gardel, 2018, Soft Matter 14, 2052.
  105. Mangan, N., C. Reichhardt, and C. J. O. Reichhardt, 2008, Phys. Rev. Lett. 100, 187002.
  106. Mano, J. F., 2008, Adv. Eng. Mater. 10, 515.
  107. Matan, K., R. B. Williams, T. A. Witten, and S. R. Nagel, 2002, Phys. Rev. Lett. 88, 076101.
  108. Mather, P. T., X. Luo, and I. A. Rousseau, 2009, Annu. Rev. Mater. Res. 39, 445.
  109. Mehta, P., M. Bukov, C.-H. Wang, A. G. Day, C. Richardson, C. K. Fisher, and D. J. Schwab, 2019, Phys. Rep. 810, 1.
  110. Middleton, A. A., 1992, Phys. Rev. Lett. 68, 670.
  111. Mossa, S., and F. Sciortino, 2004, Phys. Rev. Lett. 92, 045504.
  112. Mueggenburg, N., 2005, Phys. Rev. E 71, 031301.
  113. Mukherji, S., N. Kandula, A. K. Sood, and R. Ganapathy, 2019, Phys. Rev. Lett. 122, 158001.
  114. Mullins, L., 1948, Rubber Chem. Technol. 21, 281.
  115. Mungan, M., and M. M. Terzi, 2019, Ann. Henri Poincaré 1.
  116. Mungan, M., and T. A. Witten, 2019, arXiv:1902.08088.
  117. Murugan, A., Z. Zeravcic, M. P. Brenner, and S. Leibler, 2015, Proc. Natl. Acad. Sci. U.S.A. 112, 54.
  118. Nagamanasa, K. H., S. Gokhale, A. K. Sood, and R. Ganapathy, 2014, Phys. Rev. E 89, 062308.
  119. Nagel, S. R., G. S. Grest, and A. Rahman, 1983, Phys. Today, No. 10, 36, 24.
  120. Ness, C., R. Mari, and M. E. Cates, 2018, Sci. Adv. 4, eaar3296.
  121. Ong, L. L., et al., 2017, Nature (London) 552, 72.
  122. Ortín, J., 1992, J. Appl. Phys. 71, 1454.
  123. Osterholm, M. T., N. S. Kelley, A. Sommer, and E. A. Belongia, 2012, Lancet 12, 36.
  124. Packard, C. E., E. R. Homer, N. Al-Aqeeli, and C. A. Schuh, 2010, Philos. Mag. 90, 1373.
  125. Panagopoulos, C., M. Majoros, T. Nishizaki, and H. Iwasaki, 2006, Phys. Rev. Lett. 96, 047002.
  126. Parisi, G., 1986, J. Phys. A 19, L617.
  127. Pashine, N., D. Hexner, A. J. Liu, and S. R. Nagel, 2019, arXiv:1903.05776.
  128. Paulsen, J. D., and N. C. Keim, 2019, Proc. R. Soc. A 475, 20180874.
  129. Paulsen, J. D., N. C. Keim, and S. R. Nagel, 2014, Phys. Rev. Lett. 113, 068301.
  130. Pérez-Reche, F.-J., C. Triguero, G. Zanzotto, and L. Truskinovsky, 2016, Phys. Rev. B 94, 144102.
  131. Pérez-Reche, F.-J., L. Truskinovsky, and G. Zanzotto, 2007, Phys. Rev. Lett. 99, 075501.
  132. Perković, O., and J. P. Sethna, 1997, J. Appl. Phys. 81, 1590.
  133. Petekidis, G., A. Moussaïd, and P. N. Pusey, 2002, Phys. Rev. E 66, 051402.
  134. Pham, P., B. Metzger, and J. E. Butler, 2015, Phys. Fluids 27, 051701.
  135. Picco, M., F. Ricci-Tersenghi, and F. Ritort, 2001, Phys. Rev. B 63, 174412.
  136. Pine, D. J., J. P. Gollub, J. F. Brady, and A. M. Leshansky, 2005, Nature (London) 438, 997.
  137. Popova, M., P. Vorobieff, M. S. Ingber, and A. L. Graham, 2007, Phys. Rev. E 75, 066309.
  138. Povinelli, M. L., S. N. Coppersmith, L. P. Kadanoff, S. R. Nagel, and S. C. Venkataramani, 1999, Phys. Rev. E 59, 4970.
  139. Preisach, F., 1935, Z. Phys. 94, 277.
  140. Regev, I., T. Lookman, and C. Reichhardt, 2013, Phys. Rev. E 88, 062401.
  141. Ren, J., J. A. Dijksman, and R. P. Behringer, 2013, Phys. Rev. Lett. 110, 018302.
  142. Richfield, D., 2010, Wikimedia Commons.
  143. Rocks, J. W., H. Ronellenfitsch, A. J. Liu, S. R. Nagel, and E. Katifori, 2019, Proc. Natl. Acad. Sci. U.S.A. 116, 2506.
  144. Rogers, W. B., W. M. Shih, and V. N. Manoharan, 2016, Nat. Rev. Mater. 1, 16008.
  145. Royer, J. R., and P. M. Chaikin, 2015, Proc. Natl. Acad. Sci. U.S.A. 112, 49.
  146. Schmidt, L. E., N. C. Keim, W. W. Zhang, and S. R. Nagel, 2009, Nat. Phys. 5, 343.
  147. Schreck, C. F., R. S. Hoy, M. D. Shattuck, and C. S. O’Hern, 2013, Phys. Rev. E 88, 052205.
  148. Sethna, J. P., K. Dahmen, S. Kartha, J. A. Krumhansl, B. W. Roberts, and J. D. Shore, 1993, Phys. Rev. Lett. 70, 3347.
  149. Sethna, J. P., K. A. Dahmen, and C. R. Myers, 2001, Nature (London) 410, 242.
  150. Sethna, J. P., et al., 2017, Annu. Rev. Mater. Res. 47, 217.
  151. Shi, X., M. P. Brenner, and S. R. Nagel, 1994, Science 265, 219.
  152. Sircar, S., and Q. Wang, 2010, Rheol. Acta 49, 699.
  153. Slotterback, S., M. Mailman, K. Ronaszegi, M. van Hecke, M. Girvan, and W. Losert, 2012, Phys. Rev. E 85, 021309.
  154. Sokolowski, W. M., and S. C. Tan, 2007, J. Spacecr. Rockets 44, 750.
  155. Song, Y., X. Chen, V. Dabade, T. W. Shield, and R. D. James, 2013, Nature (London) 502, 85.
  156. Takayama, H., and K. Hukushima, 2002, J. Phys. Soc. Jpn. 71, 3003.
  157. Tang, C., K. Wiesenfeld, P. Bak, S. Coppersmith, and P. Littlewood, 1987, Phys. Rev. Lett. 58, 1161.
  158. Taylor, G. I., 1985, Low Reynolds Number Flows, National Committee for Fluid Mechanics Films (Encyclopaedia Britannica Educational Corporation, Chicago).
  159. Tharp, Twyla, 2003, The Creative Habit (Simon & Schuster, New York).
  160. Thomas, C. K., O. L. White, and A. A. Middleton, 2008, Phys. Rev. B 77, 092415.
  161. Thorne, R. E., 1996, Phys. Today 49, No. 5, 42.
  162. Toiya, M., J. Stambaugh, and W. Losert, 2004, Phys. Rev. Lett. 93, 088001.
  163. van Hecke, M., 2010, J. Phys. Condens. Matter 22, 033101.
  164. Vincent, E., 2007, in Ageing and the Glass Transition (Springer, New York), pp. 7–60.
  165. Volkert, C., and F. Spaepen, 1989, Acta Metall. 37, 1355.
  166. Xie, T., and X. Xiao, 2008, Chem. Mater. 20, 2866.
  167. Yakacki, C. M., R. Shandas, C. Lanning, B. Rech, A. Eckstein, and K. Gall, 2007, Biomaterials 28, 2255.
  168. Yan, L., R. Ravasio, C. Brito, and M. Wyart, 2017, Proc. Natl. Acad. Sci. U.S.A. 114, 2526.
  169. Yang, J., and A. A. Middleton, 2017, Phys. Rev. B 96, 214208.
  170. Yardimci, H., and R. Leheny, 2003, Europhys. Lett. 62, 203.
  171. Zeravcic, Z., V. N. Manoharan, and M. P. Brenner, 2017, Rev. Mod. Phys. 89, 031001.
  172. Zhang, Y., X. He, R. Zhuo, R. Sha, J. Brujic, N. C. Seeman, and P. M. Chaikin, 2018, Proc. Natl. Acad. Sci. U.S.A. 115, 9086.
  173. Zhong, W., D. J. Schwab, and A. Murugan, 2017, J. Stat. Phys. 167, 806.
  174. Zou, L.-N., and S. R. Nagel, 2010, Phys. Rev. Lett. 104, 257201.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation