Concept
Continuum limit
Related publications (28)
A recipe for cracking the quantum scaling limit with machine learned electron densities
A long-standing goal of science is to accurately simulate large molecular systems using quantum mechanics. The poor scaling of current quantum chemistry algorithms on classical computers, however, imposes an effective limit of about a few dozen atoms on tr ...
IOP Publishing Ltd2023Stochastic homogenization of degenerate integral functionals with linear growth
We study the limit behaviour of sequences of non-convex, vectorial, random integral functionals, defined on W1,1, whose integrands are ergodic and satisfy degenerate linear growth conditions. The latter involve suitable random, scale-dependent weight-funct ...
2023Dynamics of Dual-Mode Bedload Transport With Three-Dimensional Alternate Bars Migration in Subcritical Flow: Experiments and Model Analysis
Mehrdad Kiani Oshtorjani, Zhipeng Li, Yong Zhang
Bedload transport often exhibits dual-mode behavior due to interactions of spatiotemporal controlling factors with the migrating three-dimensional bedforms (characterized by the fully developed patterns in the bed, such as alternate bars, pools, and cluste ...
AMER GEOPHYSICAL UNION2023Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure
Critical statistical mechanics and Conformal Field Theory (CFT) are conjecturally connected since the seminal work of Beliavin et al. (Nucl Phys B 241(2):333-380, 1984). Both exhibit exactly solvable structures in two dimensions. A long-standing question ( ...
SPRINGER2022The exploration process of critical Boltzmann planar maps decorated by a triangular O(n) loop model
In this paper we investigate pointed (q, g, n)-Boltzmann loop-decorated maps with loops traversing only inner triangular faces. Using peeling exploration Budd (2018) modified to this setting we show that its law in the non-generic critical phase can be cod ...
IMPA2022Unraveling looping efficiency of stochastic Cosserat polymers
Understanding looping probabilities, including the particular case of ring closure or cyclization, of fluctuating polymers (e.g., DNA) is important in many applications in molecular biology and chemistry. In a continuum limit the configuration of a polymer ...
AMER PHYSICAL SOC2022Emergence of Concentration Effects in the Variational Analysis of the N-Clock Model
We investigate the relationship between the N-clock model (also known as planar Potts model or DOUBLE-STRUCK CAPITAL ZN-model) and the XY model (at zero temperature) through a Gamma-convergence analysis of a suitable rescaling of the energy as both the num ...
WILEY2021Critical values in an anisotropic percolation on $\mathbb{Z}^2$
In this thesis, we consider an anisotropic finite-range bond percolation model on . On each horizontal layer for , we have edges for with $N\in\mathbb{N ...
EPFL2021Imaginary Multiplicative Chaos: Moments, Regularity And Connections To The Ising Model
In this article we study imaginary Gaussian multiplicative chaos-namely a family of random generalized functions which can formally be written as e(iX(x)), where X is a log-correlated real-valued Gaussian field on R-d, that is, it has a logarithmic singula ...
INST MATHEMATICAL STATISTICS2020Critical scaling for an anisotropic percolation system on Z(2)
In this article, we consider an anisotropic finite-range bond percolation model on Z(2). On each horizontal layer {(x, i): x is an element of Z} we have edges for 1
UNIV WASHINGTON, DEPT MATHEMATICS2020