Langevin dynamics of the Coulomb frustrated ferromagnet: a mode-coupling analysis

Abstract

We study the Langevin dynamics of the soft-spin, continuum version of the Coulomb frustrated Ising ferromagnet. By using the dynamical mode-coupling approximation, supplemented by reasonable approximations for describing the equilibrium static correlation function, and the somewhat improved dynamical self-consistent screening approximation, we find that the system displays a transition from an ergodic to a non-ergodic behavior. This transition is similar to that obtained in the idealized mode-coupling theory of glassforming liquids and in the mean-field generalized spin glasses with one-step replica symmetry breaking. The significance of this result and the relation to the appearance of a complex free-energy landscape are also discussed.

13 pages, 11 figures, submitted to Phys. Rev. E

References in corpus (4)

• Self generated randomness, defect wandering and viscous flow in stripe glasses
• A Monte Carlo study of the three-dimensional Coulomb frustrated Ising ferromagnet
• Evidence for "fragile" glass-forming behavior in the relaxation of Coulomb frustrated three-dimensional systems
• Comment on ``Stripe Glasses: Self-Generated Randomness in a Uniformly Frustrated System''

Cited by in corpus (22)

• The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment
• Columnar and lamellar phases in attractive colloidal systems
• Avoided Phase Transitions and Glassy Dynamics In Geometrically Frustrated Systems and Non-Abelian Theories
• Morphologies and flow patterns in quenching of lamellar systems with shear
• Pattern formation and glassy phase in the ${\varphi }^4$ theory with screened electrostatic repulsion
• Scaling and hydrodynamic effects in lamellar ordering
• Stripe-tetragonal first order phase transition in ultra-thin magnetic films
• Random Isotropic Structures and Possible Glass Transitions in Diblock Copolymer Melts
• Lamellar order, microphase structures and glassy phase in a field theoretic model for charged colloids
• Dynamical Mean Field Theory for Self-Generated Quantum Glasses
• The nature of slow dynamics in a minimal model of frustration-limited domains
• A Scaling Hypothesis for Modulated Systems
• Long time limit of equilibrium glassy dynamics and replica calculation
• Experimental Evidence for a Glass forming "Stripe Liquid" in the Magnetic Ground State of La1.65Eu0.2Sr0.15CuO4
• One-dimensional Ising ferromagnet frustrated by long-range interactions at finite temperatures
• Langevin dynamics of fluctuation induced first order phase transitions: self consistent Hartree Approximation
• Non-Equilibrium View of the Amorphous Solidification of Liquids with Competing Interactions
• Dynamics of systems with isotropic competing interactions in an external field: a Langevin approach
• Correlated disorder in random block-copolymers
• Solution of Disordered Microphases in the Bethe approximation
• Frustrated magnets in the limit of infinite dimensions: dynamics and disorder-free glass transition
• The frustrated spherical model: an alternative to Ginzburg-Landau Hamiltonians with competing interactions