메뉴 건너뛰기




Volumn 123, Issue 1, 2006, Pages 1-37

Theorem on the distribution of short-time particle displacements with physical applications

Author keywords

Cumulants; Green's functions; Non Gaussian effects; Particle diffusion; Supercooled liquids; Time expansion; Van Hove self correlation function

Indexed keywords


EID: 33646470557     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-006-9027-9     Document Type: Article
Times cited : (6)

References (29)
  • 1
    • 0007300482 scopus 로고
    • Correlations in space and time and Born approximation scattering in systems of interacting particles
    • L. van Hove, Correlations in space and time and Born approximation scattering in systems of interacting particles. Phys. Rev. 95: 249-262 (1954).
    • (1954) Phys. Rev. , vol.95 , pp. 249-262
    • Van Hove, L.1
  • 2
    • 84926928853 scopus 로고
    • Some properties of the space-time correlation function
    • International Atomic Energy Agency
    • P. Schofield, Some properties of the space-time correlation function, in Inelastic scattering of neurrons in solids and liquids, (International Atomic Energy Agency, 1961) pp. 39-50.
    • (1961) Inelastic Scattering of Neurrons in Solids and Liquids , pp. 39-50
    • Schofield, P.1
  • 3
    • 36149006945 scopus 로고
    • Theory of slow neutron scattering by liquids. I
    • A. Rahman, K. S. Singwi and A. Sjölander, Theory of slow neutron scattering by liquids. I. Phys. Rev. 126: 986-996 (1962).
    • (1962) Phys. Rev. , vol.126 , pp. 986-996
    • Rahman, A.1    Singwi, K.S.2    Sjölander, A.3
  • 4
    • 33847005283 scopus 로고
    • Correlations in the motion of the atoms in liquid argon
    • A. Rahman, Correlations in the motion of the atoms in liquid argon, Phys. Rev. A 136: 405-411 (1964).
    • (1964) Phys. Rev. A , vol.136 , pp. 405-411
    • Rahman, A.1
  • 5
    • 33744715201 scopus 로고
    • Time expansion of correlation functions and the theory of slow neutron scattering
    • B. R. A. Nijboer and A. Rahman, Time expansion of correlation functions and the theory of slow neutron scattering. Physica 32: 415-432 (1966).
    • (1966) Physica , vol.32 , pp. 415-432
    • Nijboer, B.R.A.1    Rahman, A.2
  • 6
    • 0000574986 scopus 로고
    • Computer "experiments" on classical fluids. III. Time-dependent self-correlation functions
    • D. Levesque and L. Verlet, Computer "experiments" on classical fluids. III. Time-dependent self-correlation functions. Phys. Rev. A 2: 2514-2528 (1970).
    • (1970) Phys. Rev. A , vol.2 , pp. 2514-2528
    • Levesque, D.1    Verlet, L.2
  • 7
    • 0000223820 scopus 로고
    • Incoherent neutron scattering by simple liquids for large momentum transfer
    • V. F. Sears, Incoherent neutron scattering by simple liquids for large momentum transfer. Phys. Rev. A 5: 452-462 (1972).
    • (1972) Phys. Rev. A , vol.5 , pp. 452-462
    • Sears, V.F.1
  • 12
    • 42749108093 scopus 로고    scopus 로고
    • Experimental evidence by neutron scattering of a crossover from Gaussian to non-Gaussian behavior in the α relaxation of polyisoprene
    • A. Arbe, J. Colmenero, F. Alvarez, M. Monkenbusch, D. Richter, B. Farago and B. Frick, Experimental evidence by neutron scattering of a crossover from Gaussian to non-Gaussian behavior in the α relaxation of polyisoprene. Phys. Rev. E 67: 051802 (2003).
    • (2003) Phys. Rev. E , vol.67 , pp. 051802
    • Arbe, A.1    Colmenero, J.2    Alvarez, F.3    Monkenbusch, M.4    Richter, D.5    Farago, B.6    Frick, B.7
  • 13
    • 0001409930 scopus 로고
    • Self-diffusion on all time scales
    • J. M. Kincaid, Self-diffusion on all time scales. Phys. Rev. Lett. 74: 2985-2988 (1995).
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 2985-2988
    • Kincaid, J.M.1
  • 14
    • 0037145186 scopus 로고    scopus 로고
    • Deviations from hydrodynamics on the nanoscale
    • J. M. Kincaid and E. G. D. Cohen, Deviations from hydrodynamics on the nanoscale. Mol. Phys. 100: 3005-3010 (2002).
    • (2002) Mol. Phys. , vol.100 , pp. 3005-3010
    • Kincaid, J.M.1    Cohen, E.G.D.2
  • 15
    • 0036390384 scopus 로고    scopus 로고
    • Nano- and pico-scale transport phenomena in fluids
    • J. M. Kincaid and E. G. D. Cohen, Nano- and pico-scale transport phenomena in fluids. J. Stat. Phys. 109: 361-371 (2002).
    • (2002) J. Stat. Phys. , vol.109 , pp. 361-371
    • Kincaid, J.M.1    Cohen, E.G.D.2
  • 18
    • 30244510618 scopus 로고
    • Gaussian-to-non-Gaussian transition in supercooled fluids
    • T. Odagaki and Y. Hiwatari, Gaussian-to-non-Gaussian transition in supercooled fluids. Phys. Rev. A 43: 1103-1106 (1991).
    • (1991) Phys. Rev. A , vol.43 , pp. 1103-1106
    • Odagaki, T.1    Hiwatari, Y.2
  • 19
    • 6144288607 scopus 로고
    • Testing mode-coupling theory for a supercooled binary Lennard-Jones mixture I: The Van Hove correlation function
    • W. Kob and H. C. Andersen, Testing mode-coupling theory for a supercooled binary Lennard-Jones mixture I: The Van Hove correlation function. Phys. Rev. E 51: 4626-4641 (1995).
    • (1995) Phys. Rev. E , vol.51 , pp. 4626-4641
    • Kob, W.1    Andersen, H.C.2
  • 20
    • 9344254317 scopus 로고    scopus 로고
    • Non-Gaussian behavior and the dynamical complexity of particle motion in a dense two-dimensional liquid
    • M. M. Hurley and P. Harrowell, Non-Gaussian behavior and the dynamical complexity of particle motion in a dense two-dimensional liquid. J. Chem. Phys. 105: 10521-10526 (1996).
    • (1996) J. Chem. Phys. , vol.105 , pp. 10521-10526
    • Hurley, M.M.1    Harrowell, P.2
  • 22
    • 1442355738 scopus 로고    scopus 로고
    • Cooperative dynamics in two dimensions
    • R. Zangi and S. A. Rice, Cooperative dynamics in two dimensions. Phys. Rev. Lett. 92: 035502 (2004).
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 035502
    • Zangi, R.1    Rice, S.A.2
  • 25
    • 3242760811 scopus 로고
    • The incoherent scattering function and related correlation functions in hard sphere fluids at short times
    • I. M. de Schepper, M. H. Ernst and E. G. D. Cohen, The incoherent scattering function and related correlation functions in hard sphere fluids at short times. J. Stat. Phys. 25: 321-360 (1981).
    • (1981) J. Stat. Phys. , vol.25 , pp. 321-360
    • De Schepper, I.M.1    Ernst, M.H.2    Cohen, E.G.D.3
  • 26
    • 0002697960 scopus 로고
    • s(r, t) for a monatomic gas
    • s(r, t) for a monatomic gas. J. Chem. Phys. 44: 77-86 (1966).
    • (1966) J. Chem. Phys. , vol.44 , pp. 77-86
    • Desai, R.1
  • 27
    • 26144459384 scopus 로고
    • Short time behavior of the velocity autocorrelation function
    • I. M. de Schepper and E. G. D. Cohen, Short time behavior of the velocity autocorrelation function. Phys. Lett. A 55: 385-386 (1976).
    • (1976) Phys. Lett. A , vol.55 , pp. 385-386
    • De Schepper, I.M.1    Cohen, E.G.D.2
  • 28
    • 0009368319 scopus 로고
    • Note on transport processes in dense colloidal suspensions
    • E. G. D. Cohen and I. M. de Schepper, Note on transport processes in dense colloidal suspensions. J. Stat. Phys. 63: 241-248 (1991)
    • (1991) J. Stat. Phys. , vol.63 , pp. 241-248
    • Cohen, E.G.D.1    De Schepper, I.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.