(2<? format?>+<? format?> 1)-Dimensional Directed Polymer in a Random Medium:<? format?> Scaling Phenomena and Universal Distributions

T Halpin-Healy - Physical review letters, 2012 - APS
We examine numerically the zero-temperature (2+ 1)-dimensional directed polymer in a
random medium, along with several of its brethren via the Kardar-Parisi-Zhang (KPZ) …

Kardar-Parisi-Zhang universality class in () dimensions: Universal geometry-dependent distributions and finite-time corrections

TJ Oliveira, SG Alves, SC Ferreira - … Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
The dynamical regimes of models belonging to the Kardar-Parisi-Zhang (KPZ) universality
class are investigated in d= 2+ 1 by extensive simulations considering flat and curved …

Limiting shapes of Ising droplets, Ising fingers, and Ising solitons

PL Krapivsky - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
We examine the evolution of an Ising ferromagnet endowed with zero-temperature single
spin-flip dynamics. A large droplet of one phase in the sea of the opposite phase eventually …

Evolution of interface configuration in sapphire single crystal growth via Czochralski method

CT Sun, DF Xue - Materials Research Innovations, 2013 - Taylor & Francis
The evolution of interface configuration during sapphire crystal growth by Czochralski
method was studied on the basis of chemical bonding conditions at crystal/melt interface. On …

Limiting shapes in two-dimensional Ising ferromagnets

PL Krapivsky, J Olejarz - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
We consider an Ising model on a square lattice with ferromagnetic spin-spin interactions
spanning beyond nearest neighbors. Starting from initial states with a single unbounded …

The heat equation shrinks Ising droplets to points

H Lacoin, F Simenhaus… - Communications on Pure …, 2015 - Wiley Online Library
Let be a bounded, smooth enough domain of ℝ2. For L> 0 consider the continuous‐time,
zero‐temperature heat bath stochastic dynamics for the nearest‐neighbor Ising model on …

[PDF][PDF] Exploration of the arctic curve phenomenon in lattice statistical models via the tangent method

B Debin - 2021 - dial.uclouvain.be
The intricacies of fundamental interactions between elementary particles or massive objects
are respectively understood within the framework of quantum physics (more specifically …

Conformal invariance of loop ensembles under Kardar-Parisi-Zhang dynamics

X Cao, A Rosso, R Santachiara - Europhysics Letters, 2015 - iopscience.iop.org
We study scaling properties of the honeycomb fully packed loop ensemble associated with a
lozenge tiling model of rough surface, when the latter is driven out of equilibrium by Kardar …

Stochastic dynamics of growing Young diagrams and their limit shapes

PL Krapivsky - Journal of Statistical Mechanics: Theory and …, 2021 - iopscience.iop.org
We investigate a class of Young diagrams growing via the addition of unit cells and
satisfying the constraint that the height difference between adjacent columns⩾ r. In the long …

Crystal growth inside an octant

J Olejarz, PL Krapivsky - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
We study crystal growth inside an infinite octant on a cubic lattice. The growth proceeds
through the deposition of elementary cubes into inner corners. After rescaling by the …