Search results for "one-dimensional"

EVOLUZIONE DELLA COMPOSIZIONE GRANULOMETRICA DI SABBIE POMICEE SOTTOPOSTE A COMPRESSIONE 1-D FINO AD ALTE PRESSIONI

2012

Nell’articolo si riportano i risultati di uno studio sperimentale sull’evoluzione della composizione granulometrica di sabbie pomicee sottoposte a compressione 1-D fino a pressioni di 100 MPa. La sperimentazione è stata eseguita su sabbie asciutte con coefficiente di uniformità compreso tra 1.18 e 1.66 e con diametro iniziale dei grani compreso tra 0.18 e 2mm. Il crushing dei grani è significativo per tutte le granulometrie indagate a partire da pressioni efficaci basse (dell’ordine di appena 150 kPa). I risultati della ricerca dimostrano che, anche per queste sabbie dotate di un doppio ordine di pori – intergranulari e intragranulari - esiste una composizione granulometrica limite superior…

The evolution of grain-size distribution of sands under 1-D compression

2009

Crushing of particles is a fundamental mechanisms leading to deformation of particulate materials at medium and high stresses. As crushing progresses, the grain-size distribution undergoes modifications, causing changes of the porosity, grain-to-grain contacts and of their density (”packing density” and “grain contact”). The main aim of the research is the identification of trends in the modifications of characteristic diameters (D10, D15, D25, etc.) in function of the applied stress s´v. Results of a laboratory research programme on the crushing of dry sands compressed under one-dimensional conditions, at vertical effective stresses ′v up to 120 MPa, are reported in the paper. Tests have …

From microscopic to macroscopic description of Josephson dynamics in one-dimensional arrays of weakly-coupled superconducting islands

2015

Abstract By starting from a microscopic quantum mechanical description of Josephson dynamics of a one-dimensional array of N coupled superconductors, we obtain a set of linear differential equations for the system order parameter and for additional macroscopic physical quantities. With opportune considerations, we adapt this description to two coupled superconductors, obtaining the celebrated Feynman model for Josephson junctions. These results confirm the correspondence between the microscopic picture and the semi-classical Ohta’s model adopted in describing the superconducting phase dynamics in multi-barrier Josephson junctions.

Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit

2012

The asymptotic description of the semiclassical limit of nonlinear Schrödinger equations is a major challenge with so far only scattered results in 1 + 1 dimensions. In this limit, solutions to the NLS equations can have zones of rapid modulated oscillations or blow up. We numerically study in this work the Davey-Stewartson system, a 2 + 1 dimensional nonlinear Schrödinger equation with a nonlocal term, by using parallel computing. This leads to the first results on the semiclassical limit for the Davey-Stewartson equations.

Multi-rogue waves solutions: from the NLS to the KP-I equation

2013

Our discovery of multi-rogue wave (MRW) solutions in 2010 completely changed the viewpoint on the links between the theory of rogue waves and integrable systems, and helped explain many phenomena which were never understood before. It is enough to mention the famous Three Sister waves observed in oceans, the creation of a regular approach to studying higher Peregrine breathers, and the new understanding of 2 + 1 dimensional rogue waves via the NLS-KP correspondence. This article continues the study of the MRW solutions of the NLS equation and their links with the KP-I equation started in a previous series of articles (Dubard et al 2010 Eur. Phys. J. 185 247–58, Dubard and Matveev 2011 Natur…

Non-uniform Sediment Transport Estimation in Non-equilibrium Situations: Case Studies

2014

Abstract Quantitative estimate of sediment transport in alluvial channels is one of the most important task in river engineering. Even today, numerical models of sediment transport processes are confronted with some difficulties, often of conceptual nature. One of these difficulties is the simulation of non-uniform sediment transport in non-equilibrium situations, which requires the characterization of the ability of the alluvial system to immediately overcome the variations of the sediment boundary conditions. In this work a 1-D numerical model, which includes a new expression of the so-called “adaptation coefficient”, has been applied to test its capability to simulate the transient bed p…

Ping-pong configurations and circular orders on free groups

2017

We discuss actions of free groups on the circle with "ping-pong" dynamics; these are dynamics determined by a finite amount of combinatorial data, analogous to Schottky domains or Markov partitions. Using this, we show that the free group $F_n$ admits an isolated circular order if and only if n is even, in stark contrast with the case for linear orders. This answers a question from (Mann, Rivas, 2016). Inspired by work of Alvarez, Barrientos, Filimonov, Kleptsyn, Malicet, Menino and Triestino, we also exhibit examples of "exotic" isolated points in the space of all circular orders on $F_2$. Analogous results are obtained for linear orders on the groups $F_n \times \mathbb{Z}$.

Coherent superposition of current flows in an atomtronic quantum interference device

2015

We consider a correlated Bose gas tightly confined into a ring shaped lattice, in the presence of an artificial gauge potential inducing a persistent current through it. A weak link painted on the ring acts as a source of coherent back-scattering for the propagating gas, interfering with the forward scattered current. This system defines an atomic counterpart of the rf-SQUID: the atomtronics quantum interference device (AQUID). The goal of the present study is to corroborate the emergence of an effective two-level system in such a setup and to assess its quality, in terms of its inner resolution and its separation from the rest of the many-body spectrum, across the different physical regime…

Nonuniform sediment transport estimation in non-equlibrium situations: study cases

2014

Magnetic quantum criticality in quasi-one-dimensional Heisenberg antiferromagnet Cu(C4H4N2)(NO3)2

2016

We analyze exciting recent measurements [Phys. Rev. Lett. 114 (2015) 037202] of the magnetization, differential susceptibility and specific heat on one dimensional Heisenberg antiferromagnet Cu(C4H4N2)(NO3)2 (CuPzN) subjected to strong magnetic fields. Using the mapping between magnons (bosons) in CuPzN and fermions, we demonstrate that magnetic field tunes the insulator towards quantum critical point related to so-called fermion condensation quantum phase transition (FCQPT) at which the resulting fermion effective mass diverges kinematically. We show that the FCQPT concept permits to reveal the scaling behavior of thermodynamic characteristics, describe the experimental results quantitativ…