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With the birth of quantum information science, many tools have been developed to deal with many-body quantum systems. Although a complete description of such systems is desirable, it will not always be possible to achieve this goal, as the…

Quantum Physics · Physics 2020-12-01 Cristhiano Duarte , Barbara Amaral , Marcelo Terra Cunha , Matthew Leifer

The results summarized here are intended as rigorous mathematical statements on various physical models coming from condensed matter physics, statistical mechanics (classical and quantum), quantum field theory and cold atoms physics. The…

Mathematical Physics · Physics 2016-12-21 Nicolas Rougerie

Comment on the paper J. Solsvik and E. Manger, "Kinetic theory models for granular mixtures with unequal granular temperature: Hydrodynamic velocity," Phys. Fluids \textbf{33}, 043321 (2021).

Soft Condensed Matter · Physics 2021-08-17 Vicente Garzó

As a complement to experimental and theoretical approaches, numerical modeling has become an important component to study asteroid collisions and impact processes. In the last decade, there have been significant advances in both…

Earth and Planetary Astrophysics · Physics 2019-08-07 Martin Jutzi , Keith Holsapple , Kai Wünneman , Patrick Michel

Development of several alternative mathematical models for the biological system in question and discrimination between such models using experimental data is the best way to robust conclusions. Models which challenge existing theories are…

Quantitative Methods · Quantitative Biology 2016-02-01 Vitaly V. Ganusov

In this paper we review many interesting open problems in mathematical physics which may be attacked with the help of tools from constructive field theory. They could give work for future mathematical physicists trained with the…

Mathematical Physics · Physics 2009-10-31 V. Rivasseau

A short introduction to the mathematical methods and technics of differential algebras and modules adapted to the problems of mathematical and theoretical physics is presented.

Rings and Algebras · Mathematics 2018-08-29 Victor Zharinov

The behaviour of dense assemblies of dry grains submitted to continuous shear deformation has been the subject of many experiments and discrete particle simulations. This paper is a collective work carried out among the French research…

Soft Condensed Matter · Physics 2009-11-10 GdR Midi

The first step in the construction of a regression model or a data-driven analysis, aiming to predict or elucidate the relationship between the atomic scale structure of matter and its properties, involves transforming the Cartesian…

Granular simulations are used to probe the particle scale dynamics at short, intermediate, and long time scales for gravity driven, dense granular flows down an inclined plane. On approach to the angle of repose, where motion ceases, the…

Soft Condensed Matter · Physics 2009-11-11 L. E. Silbert

The static as well as the dynamic behaviour of granular material are determined by dynamic {\it and} static friction. There are well known methods to include static friction in molecular dynamics simulations using scarcely understood…

High Energy Physics - Lattice · Physics 2009-10-22 T. Poeschel , V. Buchholtz

The study of atomically thin two-dimensional materials is a young and rapidly growing field. In the past years, a great advance in the study of the remarkable electrical and optical properties of 2D materials fabricated by exfoliation of…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 Andres Castellanos-Gomez , Vibhor Singh , Herre S. J. van der Zant , Gary A. Steele

Analytical models have been developed for fracture propagation over the last several decades and are now considered with renewed interest; the range of their applicability varies for different materials and different loading conditions.…

Materials Science · Physics 2015-09-22 D. Misseroni , A. B. Movchan , N. V. Movchan , D. Bigoni

In this paper a new multiscale modeling technique is proposed. It relies on a recently introduced measure-theoretic approach, which allows to manage the microscopic and the macroscopic scale under a unique framework. In the resulting…

Mathematical Physics · Physics 2011-01-24 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin

Due to the complex physical properties of granular materials, research on robot learning for manipulating such materials predominantly either disregards the consideration of their physical characteristics or uses surrogate models to…

Robotics · Computer Science 2025-11-26 Minglun Wei , Xintong Yang , Yu-Kun Lai , Seyed Amir Tafrishi , Ze Ji

This article discusses recent developments in the literature of quantile time series models in the cases of stationary and nonstationary underline stochastic processes.

Econometrics · Economics 2023-08-23 Christis Katsouris

Machine Learning tools are nowadays widely applied extensively to the prediction of the properties of molecular materials, using datasets extracted from high-throughput computational models. In several cases of scientific and technological…

Materials Science · Physics 2021-02-10 Fabio Le Piane , Matteo Baldoni , Francesco Mercuri

The recent decades have seen various attempts at accelerating the process of developing materials targeted towards specific applications. The performance required for a particular application leads to the choice of a particular material…

A variety of computational models have been developed to describe active matter at different length and time scales. The diversity of the methods and the challenges in modeling active matter---ranging from molecular motors and cytoskeletal…

Soft Condensed Matter · Physics 2020-04-21 M Reza Shaebani , Adam Wysocki , Roland G Winkler , Gerhard Gompper , Heiko Rieger

Models of random phylogenetic networks have been used since the inception of the field, but the introduction and rigorous study of mathematically tractable models is a much more recent topic that has gained momentum in the last 5 years.…

Populations and Evolution · Quantitative Biology 2024-11-20 François Bienvenu