RT Journal Article
T1 Critical behavior of the specific heat in glass formers
A1 Fernández Pérez, Luis Antonio
A1 Martín Mayor, Víctor
A1 Verrocchio, P.
AB We show numeric evidence that, at low enough temperatures, the potential energy density of a glass-forming liquid fluctuates over length scales much larger than the interaction range. We focus on the behavior of translationally invariant quantities. The growing correlation length is unveiled by studying the finite-size effects. In the thermodynamic limit, the specific heat and the relaxation time diverge as a power law. Both features point towards the existence of a critical point in the metastable supercooled liquid phase.
PB American Physical Society
SN 1539-3755
YR 2006
FD 2006-02-14
LK https://hdl.handle.net/20.500.14352/51923
UL https://hdl.handle.net/20.500.14352/51923
LA eng
NO 1) P. G. Debenedetti, Metastable Liquids (Princeton University Press, Princeton, NJ), 1997.2) J. Z. Justin, Quantum Field Theory and Critical Phenomena (Oxford University Press, New York), 2002.3) W. Götze, L. Sjögren, Rep. Prog. Phys., 55, 241, 1992.4) G. Biroli, J.-P. Bouchaud, Europhys. Lett., 67, 21, 2004.5) L. Chayes, et al., Physica A, 225, 129, 1996.6) C. Donati, S. Franz, G. Parisi, S. C. Glotzer, J. Non Cryst. Solids, 307, 215, 2002.7) H. E. Castillo, et al., Phys. Rev. B, 68, 134442, 2003.8) S. Whitelam, L. Berthier, J. P. Garrahan, Phys. Rev. Lett., 92, 185705, 2004.9) E. V. Russell, N. E. Israeloff, Nature (London), 408, 695, 2000.10) M. D. Ediger, Annu. Rev. Phys. Chem., 51, 99, 2000.11) L. Berthier, Phys. Rev. E, 69, 020201, 2004.12) B. Bernu, J.-P. Hansen, Y. Hiwatari, G. Pastore, Phys. Rev. A, 36, 4891, 1987.13) T. S. Grigera, G. Parisi, Phys. Rev. E, 63, 045102(R), 2001.14) D. Amit, V. Martín-Mayor, Field Theory: the Renormalization Group and Critical Phenomena (World Scientific, Singapore), 2005.15) D. S. Fryer, et al., Macromolecules, 34, 5627, 2001.16) D. Morineau, Y. Xia, C. Alba-Simionesco, J. Chem. Phys., 117, 8966, 2002.17) T. S. Grigera, A. Cavagna, I. Giardina, G. Parisi, Phys. Rev. Lett., 88, 055502, 2002.18) A. Cavagna, T. S. Grigera, I. Giardina, J. Chem. Phys., 118, 6974, 2003.19) G. Parisi, Statistical Field Theory (Addison Wesley, California), 1988.20) J. P. Hansen, I. R. McDonald, Theory of Simple Liquids (Academic Press, San Diego), 1986.21) A. D. Sokal, in Functional Integration: Basics and Applications, edited by C. DeWitt-Morette, P. Cartier, and A. Folacci (Plenum, New York), 1997.22)  H. G. Ballesteros, et al., Phys. Rev. B, 58, 2740, 1998.23) Y. Rosenfeld, P. Tarazona, Mol. Phys., 95, 141, 1998.24) C. C. Yu, H. M. Carruzzo, Phys. Rev. E, 69, 051201, 2004.25) N. O. Birge, S. R. Nagel, Phys. Rev. Lett., 54, 2674, 1985.
NO © 2006 The American Physical Society.  We thank R. de Nalda, T.S. Grigera, G. Parisi, and C. Toninelli for discussions. P.V. was supported by the EC  Contract No. MCFI-2002-01262. We were partly supported by MEC  Spain, through Contracts Nos. BFM2003-08532, FIS2004-05073, and FPA2004-02602. The total CPU time devoted to the simulation  carried out at BIFI PC clusters amounts to ten years of 3 GHz Pentium IV.
NO EC
NO MEC (Spain)
DS Docta Complutense
RD 30 abr 2024