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Volumn 66, Issue 6, 2002, Pages 10-

Thermodynamics and statistical mechanics of frozen systems in inherent states

Author keywords

[No Author keywords available]

Indexed keywords

BINARY MIXTURES; COMPUTER SIMULATION; ENTROPY; GLASS; GRANULAR MATERIALS; HAMILTONIANS; MATHEMATICAL MODELS; MONTE CARLO METHODS; POTENTIAL ENERGY; STATISTICAL MECHANICS; THERMODYNAMIC PROPERTIES;

EID: 41349105231     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.061301     Document Type: Article
Times cited : (40)

References (57)
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    • ScienceF.H. Stillinger, 267, 1935 (1995);
    • (1995) , vol.267 , pp. 1935
    • Stillinger, F.H.1
  • 10
    • 85036194934 scopus 로고    scopus 로고
    • Grains are “frozen” because, due to their large masses and dissipation 5, the thermal kinetic energy is negligible compared to the gravitational energy; thus the external bath temperature (Formula presented) can be considered equal to zero
    • Grains are “frozen” because, due to their large masses and dissipation 5, the thermal kinetic energy is negligible compared to the gravitational energy; thus the external bath temperature (Formula presented) can be considered equal to zero.
  • 12
    • 45149147100 scopus 로고
    • S. F. Edwards, Disorder in Condensed Matter Physics (Oxford Science, Oxford, 1991), p. 148;, in Granular Matter: An Interdisciplinary Approach, edited by A. Mehta (Springer-Verlag, New York, 1994)
    • Physica AA. Mehta and S.F. Edwards, 157, 1091 (1989);S. F. Edwards, Disorder in Condensed Matter Physics (Oxford Science, Oxford, 1991), p. 148;in Granular Matter: An Interdisciplinary Approach, edited by A. Mehta (Springer-Verlag, New York, 1994).
    • (1989) , vol.157 , pp. 1091
    • Mehta, A.1    Edwards, S.F.2
  • 18
    • 85036206815 scopus 로고    scopus 로고
    • cond-mat/9812347, in Jamming and Rheology: Constrained Dynamics on Microscopic and Macroscopic Scales, edited by A. J. Liu and S. R. Nagel (Taylor & Francis, London, 2001)
    • J. Kurchan, cond-mat/9812347;in Jamming and Rheology: Constrained Dynamics on Microscopic and Macroscopic Scales, edited by A. J. Liu and S. R. Nagel (Taylor & Francis, London, 2001).
    • Kurchan, J.1
  • 25
    • 0036727132 scopus 로고    scopus 로고
    • A. Coniglio, A. Fierro, and M. Nicodemi, Eur. Phys. Jour. E (to be published)
    • A. Fierro, M. Nicodemi, and A. Coniglio, Europhys. Lett. 59, 642 (2002);A. Coniglio, A. Fierro, and M. Nicodemi, Eur. Phys. Jour. E (to be published).
    • (2002) Europhys. Lett. , vol.59 , pp. 642
    • Fierro, A.1    Nicodemi, M.2    Coniglio, A.3
  • 38
    • 85036239710 scopus 로고    scopus 로고
    • The possibility of introducing more than one thermodynamic parameter has been also suggested in Ref. 18 and recently discussed in the context of a Constrained Ising Chain in Ref. 23
    • The possibility of introducing more than one thermodynamic parameter has been also suggested in Ref. 18 and recently discussed in the context of a Constrained Ising Chain in Ref. 23.
  • 39
    • 85036374022 scopus 로고    scopus 로고
    • cond-mat/0202376
    • A. Lefèvre, cond-mat/0202376.
    • Lefèvre, A.1
  • 42
    • 85036375393 scopus 로고    scopus 로고
    • A. Coniglio, in Frustration and Connectivity in Glass Forming Systems and Granular Materials, Proceedings of the International School on the Physics of Complex Systems “Enrico Fermi,” Course CXXXIV, Varenna, 1996, edited by F. Mallamace and H. E. Stanley (IOS Press, Amsterdam, 1997), p. 491
    • A. Coniglio, in Frustration and Connectivity in Glass Forming Systems and Granular Materials, Proceedings of the International School on the Physics of Complex Systems “Enrico Fermi,” Course CXXXIV, Varenna, 1996, edited by F. Mallamace and H. E. Stanley (IOS Press, Amsterdam, 1997), p. 491;
  • 49
    • 85036202040 scopus 로고    scopus 로고
    • (Formula presented) is measured in Monte Carlo steps (MCS), where 1 MCS corresponds to N attempts to move a particle randomly chosen, and (Formula presented) is the number of particles
    • (Formula presented) is measured in Monte Carlo steps (MCS), where 1 MCS corresponds to N attempts to move a particle randomly chosen, and (Formula presented) is the number of particles.
  • 50
    • 85036157884 scopus 로고    scopus 로고
    • Note that with our approach it is also possible to explore low density inherent states in a stationary regime and not only the off-equilibrium “glassy regime,” as instead in Ref. 11. For instance, the frustrated lattice gas model at density (Formula presented) is hardly found in an out of equilibrium quasistationary state (at any finite value of the bath temperature the system quickly reaches the equilibrium state). We have considered the model Eq. (1), at (Formula presented) and we have performed an usual Monte Carlo diffusive dynamics of the model. At a starting time, we prepared the system in equilibrium with a very high bath temperature. Afterwards, it is suddenly cooled at a very low (Formula presented) but the system quickly reaches the equilibrium state, and (Formula presented) coincides with (Formula presented)
    • Note that with our approach it is also possible to explore low density inherent states in a stationary regime and not only the off-equilibrium “glassy regime,” as instead in Ref. 11. For instance, the frustrated lattice gas model at density (Formula presented) is hardly found in an out of equilibrium quasistationary state (at any finite value of the bath temperature the system quickly reaches the equilibrium state). We have considered the model Eq. (1), at (Formula presented) and we have performed an usual Monte Carlo diffusive dynamics of the model. At a starting time, we prepared the system in equilibrium with a very high bath temperature. Afterwards, it is suddenly cooled at a very low (Formula presented) but the system quickly reaches the equilibrium state, and (Formula presented) coincides with (Formula presented)
  • 51
    • 85036292659 scopus 로고    scopus 로고
    • Where not explicitly shown, the error bars of the data are more or less equal to the size of symbols in figures
    • Where not explicitly shown, the error bars of the data are more or less equal to the size of symbols in figures.
  • 55
    • 85036395667 scopus 로고    scopus 로고
    • both cases, (Formula presented) and (Formula presented) the stationary self-scattering functions obtained for finite tap duration (Formula presented) are well fitted by stretched exponentials (Formula presented) The characteristic time scale (Formula presented) obtained in this way increases as (Formula presented) decreases, and seems to diverge only in the limit (Formula presented)
    • In both cases, (Formula presented) and (Formula presented) the stationary self-scattering functions obtained for finite tap duration (Formula presented) are well fitted by stretched exponentials (Formula presented) The characteristic time scale (Formula presented) obtained in this way increases as (Formula presented) decreases, and seems to diverge only in the limit (Formula presented)
  • 56
    • 85036258963 scopus 로고    scopus 로고
    • the previous case, (Formula presented) the minimum energy (Formula presented) is zero
    • In the previous case, (Formula presented) the minimum energy (Formula presented) is zero.
  • 57
    • 85036159590 scopus 로고    scopus 로고
    • A. Coniglio, A. Fierro, and M. Nicodemi (unpublished)
    • A. Coniglio, A. Fierro, and M. Nicodemi (unpublished).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.