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Showing 1 to 9 of 9 for “"random field Ising model"”.

  1. Studies in random Ising spin systems

    We give a brief survey of Ising spin systems in the presence of random bonds or random fields. Specific calculations are done on the twodimensional short-ranged random-bond model and the three-dimensional random-field model. The phenomenological renormalization group and the transfer-matrix method …

    uiuc Repository record for Studies in random Ising spin systems (opens in a new tab)

  2. Avalanches in disordered systems

    … apply the ideas of non-equilibrium, avalanching models with quenched disorder to three different sys- tems. The first system is the neuronal network in in vitro rat cortex; neurons generate electrical impulses that travel along axons and dendrites to potentiall influence the behavior of other …

    uiuc Repository record for Avalanches in disordered systems (opens in a new tab)

  3. Sweeprate and Temperature Effects on Crackling Noise

    … most horrible WMD. Typically, crackling noise is modeled in the infinitely slow driving rate limit at zero temperature. In this dissertation I investigate the effects of relaxing these limits. First I consider the crackling system at zero temperature and finite sweeprate. I discuss how the …

    uiuc Repository record for Sweeprate and Temperature Effects on Crackling Noise (opens in a new tab)

  4. The role of heterogeneity in long-range interacting systems : from nucleation to earthquake fault systems

    … The first will be the heterogeneous Ising model with long-range interactions. Earthquake fault systems under long-range stress transfer with varying types of heterogeneity will be the second system of interest. First I will review the use of the intervention method to determine the …

    bu Repository record for The role of heterogeneity in long-range interacting systems : from nucleation to earthquake fault systems (opens in a new tab)

  5. History Induced Critical Scaling in Disordered Media and Super Diffusive Growth in Highly Advective Random Environments

    … systems in the presence of quenched random disorder is studied. In noisy, hysteretic systems, the role of driving force history is studied in the context of the non-equilibrium, zero-temperature Random Field Ising Model (RFIM). The RFIM was originally developed as a simple model for …

    uiuc Repository record for History Induced Critical Scaling in Disordered Media and Super Diffusive Growth in Highly Advective Random Environments (opens in a new tab)

  6. Collective dynamics in lattice models far from equilibrium

    … the large-scale collective dynamics of lattice models that are far from equilibrium due to disorder, external driving, metastability and activity. First, we investigate the non-equilibrium behaviour of the three-dimensional random field Ising model at finite temperature, as an external field is …

    cambridge Repository record for Collective dynamics in lattice models far from equilibrium (opens in a new tab)

  7. Using avalanche statistics to forecast failure in models of earthquake faults and magnets

    … In this thesis, I present my work using models of avalanche statistics to study large failure avalanches. In particular, I use these avalanche models to explore statistical signals which can predict the likelihood of large earthquakes in a simple model of earthquake statistics. This …

    uiuc Repository record for Using avalanche statistics to forecast failure in models of earthquake faults and magnets (opens in a new tab)

  8. Understanding Disordered Systems Through Numerical Simulation and Algorithm Development

    … and impurities or heterogeneities can be modeled by fixed random disor-</p> <p>der. Numerous complex networks also possess fixed disorder, leading to appli-</p> <p>cations in transportation systems [1], telecommunications [2], social networks</p> <p>[3, 4], and epidemic modeling [5], to …

    syracuse-diss Repository record for Understanding Disordered Systems Through Numerical Simulation and Algorithm Development (opens in a new tab)