2008/05/30 by Grzegorz Szamel
Materials Science · Physics and Astronomy · #Correlation function (quantum field theory) #Divergence (linguistics) #Function (biology) #Material Dynamics and Properties #Mathematical physics #Physics #Propagator #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.101.205701
arxiv created 2008/05/30 · openalex publication_date 2008/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We use a recently derived diagrammatic formulation of the dynamics of interacting Brownian particles [G. Szamel, J. Chem. Phys. 127, 084515 (2007)10.1063/1.2759487] to study a four-point dynamic density correlation function. We resum a class of diagrams which separate into two disconnected components upon cutting a single propagator. The resulting formula for the four-point correlation function can be expressed in terms of three-point functions closely related to the three-point susceptibility introduced by Biroli et al. [Phys. Rev. Lett. 97, 195701 (2006)10.1103/PhysRevLett.97.195701] and the standard two-point correlation function. The four-point function has a structure very similar to that proposed by Berthier and collaborators [Science 310, 1797 (2005)10.1126/science.1120714; J. Chem. Phys. 126, 184503 (2007)10.1063/1.2721554]. It exhibits a small wave vector divergence at the mode-coupling transition.