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Showing 1 to 4 of 4 for “"directed polymers"”.

  1. Fluctuating interfaces and paths in disordered and non-equilibrium systems

    … the probability distribution associated with directed polymers in random media, a lattice model in this universality class, interpolates between Tracy-Widom and Gaussian distributions when spatial correlations are added to the random energy landscape. As a possible application, we examine the …

    mit Repository record for Fluctuating interfaces and paths in disordered and non-equilibrium systems (opens in a new tab)

  2. Directed-polymer systems explored via their quantum analogs

    … equilibrium statistical mechanics of classical directed polymers in D+1 dimensions is well known to be equivalent to the imaginary-time quantum dynamics of a quantum many-particle system in D spatial dimensions, with polymer con gurations corresponding to particle world-lines. This equivalence …

    uiuc Repository record for Directed-polymer systems explored via their quantum analogs (opens in a new tab)

  3. Phase transitions in fluids and biological systems

    … a coarse-grained, phenomenological model in the directed percolation universality class. To relate this critical phenomena approach closer to the fluid dynamics, I consider the transition to turbulence in the Burgers equation, a simplified model for Navier-Stokes equations. Via a transformation …

    uiuc Repository record for Phase transitions in fluids and biological systems (opens in a new tab)

  4. Theory and simulations of low-dimensional flexible materials toward nano-electronic applications

    … to study low dimensional materials such as directed polymers (1+1 dimension) and silicene nanoclusters (0 dimension) that can be used for nanotechnology applications. In recent years, there has been a flurry of experimental and theoretical activities aimed at exploring topological insulators …

    mit Repository record for Theory and simulations of low-dimensional flexible materials toward nano-electronic applications (opens in a new tab)