5 papers
Numerically Discovered Inherent States are Always Protocol Dependent in Jammed Packings
Eddie Bautista, Eric I. Corwin
The energy landscape for soft sphere packings exists in a high-dimensional space and plays host to an astronomical number of local minima in a hierarchical and ultrametric arrangem…
Universal Fluctuations in the Tail Probability for d=2 Random Walks in Space-Time Random Environments
Franscesca Ark, Jacob B. Hass, Eric I. Corwin
Many diffusive systems involve correlated random walkers due to a shared environment. Such systems can be modeled as random walks in random environments (RWRE). These models differ…
Coordinate-energy transformation and the one-point function for the Heisenberg-Ising XXZ spin-1/2 chain on the ring
Eric I. Corwin, Nikolaus Elsaesser, Axel Saenz
We provide explicit formulas to diagonalize the Hamiltonian for the Heisenberg-Ising XXZ spin-1/2 chain on a discrete ring. Two distinguished bases for the Hilbert space include th…
Universal KPZ Fluctuations for Moderate Deviations of Random Walks in Random Environments
Jacob Hass, Hindy Drillick, Ivan Corwin +1
The theory of diffusion seeks to describe the motion of particles in a chaotic environment. Classical theory models individual particles as independent random walkers, effectively…
Measurements of extreme first passage times in photon transport
Aileen N. Carroll-Godfrey, Eric I. Corwin
Photon transport through turbid media has typically been modeled through diffusion or telegraph equations. These models describe behavior of the average, or typical, photon with re…