Essays about: "Critical exponents"

Found 5 essays containing the words Critical exponents.

  1. 1. Numerical Estimation of Critical Exponents in the 3D XY Model

    University essay from KTH/Fysik

    Author : Christoffer Beiming; [2023]
    Keywords : Theoretical physics; Condensed matter theory; Phase transitions; XY model; Critical exponents; Computational physics; Monte Carlo simulations; Teoretisk fysik; Kondenserade materiens teori; Fasövergångar; XY-modellen; Kritiska exponenter; Beräkningsfysik; Monte Carlo simulering;

    Abstract : The experimentally obtained value of the critical exponent ν is presently in significant disagreement with current theoretical predictions for the λ-universality class. We suggest two novel approaches of determining the exponents ν and η by utilizing the effects of finite size scaling. READ MORE

  3. 2. On the dynamics of a family of critical circle endomorphisms

    University essay from KTH/Matematik (Avd.)

    Author : Nils Hemmingsson; [2019]
    Keywords : Dynamical systems; Hyperbolic dynamics; Non-uniform hyperbolicity; Lyapunov exponents; Dynamiska system; Hyperboliska system; Icke-likformig hyperbolicitet; Lyapunovexponenter;

    Abstract : In this thesis we study two seperate yet related three parameter-families of continuously differentiable maps from the unit circle to unit circle which have a single critical point. For one of the families we show that there is a set of positive measure of parameters such that there is a set of positive measure for which all points in the latter set, the derivative experiences exponential growth. READ MORE

  4. 3. Constructing Multidimensional Dynamical Systems with Positive Lyapunov Exponents

    University essay from KTH/Matematik (Avd.)

    Author : Martin Andersson; [2018]
    Keywords : ;

    Abstract : In this thesis we adapt Marcelo Viana's general construction of smooth transformations exhibiting non-uniform expansion in several dimensions. In our construction we, instead of coupling with a quadratic map, as Viana did, derive the expansion from a mapping with a cubic critical point. READ MORE

  5. 4. New scaling approach to critical exponents of the λ transition

    University essay from KTH/Fysik

    Author : Simon Sandell; [2018]
    Keywords : ;

    Abstract : .... READ MORE

  6. 5. Renormalization group approach to statistical systems

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Patrik Lidén; [2015]
    Keywords : ;

    Abstract : This report will study the theory of renormalization group used on a ferromagnet to calculate magnetic phase transitions. As the ferromagnet's temperature changes, so does interatomic interaction, causing either a lingering magnetization at low temperatures, or a random state at high temperatures. READ MORE