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Volumn 55, Issue 2, 2001, Pages 157-163

Gaussian density fluctuations and mode coupling theory for supercooled liquids

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Indexed keywords


EID: 0035796146     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2001-00395-x     Document Type: Article
Times cited : (53)

References (44)
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    • note
    • t′ρk(t′)dt′〉.
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    • note
    • Instead of using the explicit force implied by eqs. (3), (7), it is possible to use the force implied by eq. (10). The result requires time correlations of ρ̈k, which cannot be carried out explicitly. Previously ρ̈k have been projected onto density pairs and Gaussian statistics is used to factorize the 4-point correlations [1], thus getting rid of the bare potential.
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    • note
    • The Gaussian approximation for noise (and density) implies that, in eq. (6), all terms in the sum are neglected, except for k = k′. Evidently this step could have equally well been represented as RPA, but in essence all what follows stems logically and exactly from the choice of Gaussian noise.
  • 35
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    • note
    • By multiplying both sides of eq. (2) by ρk(0) and averaging, an exact equation for 〈ρk(t)ρ-k(0)〉 is found. Assuming ρk(t) to be a Gaussian process, 〈Fk(t)ρ-k(0)〉 = 0.
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    • work in preparation
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