Sökning: "random cluster model"

Visar resultat 1 - 5 av 21 avhandlingar innehållade orden random cluster model.

  1. 1. Graphical representations of Ising and Potts models : Stochastic geometry of the quantum Ising model and the space-time Potts model

    Författare :Jakob Erik Björnberg; Anders Björner; Jeffrey Steif; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Quantum Ising model; Ising model; Potts model; random-cluster model; random-current representation; random-parity representation; differential inequality; phase transition; Discrete mathematics; Diskret matematik;

    Sammanfattning : HTML clipboard Statistical physics seeks to explain macroscopic properties of matter in terms of microscopic interactions. Of particular interest is the phenomenon of phase transition: the sudden changes in macroscopic properties as external conditions are varied. LÄS MER

  2. 2. Case studies in omniparametric simulation

    Författare :Fredrik Lundin; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :growth model; Ising model; Markov chain; omnithermal simulation; omniparametric simulationpercolatiion; Potts model; parameter estimation; partial observations; random cluster model; Richardson model; simulation driven parameter estimation; two-type Richardson model; omnithermal simulation;

    Sammanfattning : In the eld of particle systems and growths models simulation is an important tool. When explicit calculations are too complex or impossible to perform we may use simulations instead. We adapt a new technique here denoted omniparametric simulation, to the two-type Richardson, Ising and Potts models. LÄS MER

  3. 3. Gibbs Measures and Phase Transitions in Potts and Beach Models

    Författare :Per Hallberg; KTH; []
    Nyckelord :Potts model; beach model; percolation; random-cluster model; Gibbs measure; coupling; Markov chains on infinite trees; critical exponent;

    Sammanfattning : The theory of Gibbs measures belongs to the borderlandbetween statistical mechanics and probability theory. In thiscontext, the physical phenomenon of phase transitioncorresponds to the mathematical concept of non-uniqueness for acertain type of probability measures.The most studied model in statistical mechanics is thecelebrated Ising model. LÄS MER

  4. 4. Inertial collisions in random flows

    Författare :Kristian Gustafsson; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :Collisions; nonlinear dynamical systems; particles and aerosols; random processes; suspensions; turbulent diffusion; turbulent flows;

    Sammanfattning : In nature, suspensions of small particles in fluids are common. An important example are rain droplets suspended in turbulent clouds. Such clouds can start to rain very quickly and the reason for this is still not fully explained, but it is believed that the turbulent motion in the cloud plays an important role. LÄS MER

  5. 5. First-principles investigations of ordering in binary alloys

    Författare :Moshiour Rahaman; Andrei Ruban; Staunton Julie; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; ordering; random; alloys;

    Sammanfattning : The aim of the thesis is to study ordering in binary alloys on the basis of first-principles or {\it ab-initio} techniques employing density functional theory (DFT). The ordering phenomena of materials are of crucial importance for technological applications. LÄS MER