Pattern formation and glassy phase in the $φ^4$ theory with screened electrostatic repulsion

Details Pattern formation and glassy phase in the $φ^4$ theory with screened electrostatic repulsion Pattern formation and glassy phase in the $φ^4$ theory with screened electrostatic repulsion

2005-06-20

arxiv.org/abs/cond-mat/0506485v2

Physics

Condensed Matter

Soft Condensed Matter

Final version, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.96.075702

We study analytically the structural properties of a system with a short-range attraction and a competing long-range screened repulsion. This model contains the essential features of the effective interaction potential among charged colloids in polymeric solutions and provides novel insights on the equilibrium phase diagram of these systems. Within the self-consistent Hartree approximation and by using a replica approach, we show that varying the parameters of the repulsive potential and the temperature yields a phase coexistence, a lamellar and a glassy phase. Our results strongly suggest that the cluster phase observed in charged colloids might be the signature of an underlying equilibrium lamellar phase, hidden on experimental time scales.

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