scholarly journals Exactly solvable 1D model explains the low-energy vibrational level structure of protonated methane

2021 ◽  
Author(s):  
Jonathan Rawlinson ◽  
Csaba Fábri ◽  
Attila G. Császár
Keyword(s):  
Vibrational Level ◽  
Quantum Dynamics ◽  
Level Structure ◽  
Low Energy ◽  
Dimensional Model ◽  
One Dimensional ◽  
Effective Particle ◽  
Exactly Solvable ◽  
Vertex Graph ◽  
1D Model

A new one-dimensional model is proposed for the low-energy vibrational quantum dynamics of CH+5 based on the motion of an effective particle confined to a 60-vertex graph Γ60 with a...

scholarly journals An Improved One-Dimensional Model for Liquid Slugs Traveling in Pipelines

2015 ◽  
Vol 138 (1) ◽  
Author(s):  
Arris S. Tijsseling ◽  
Qingzhi Hou ◽  
Zafer Bozkuş
Keyword(s):  
Experimental Data ◽  
Flow Separation ◽  
Parameter Variation ◽  
Numerical Results ◽  
Driving Pressure ◽  
Dimensional Model ◽  
Liquid Slug ◽  
Straight Pipe ◽  
One Dimensional ◽  
1D Model

An improved one-dimensional (1D) model—compared to previous work by the authors—is proposed, which is able to predict the acceleration and shortening of a single liquid slug propagating in a straight pipe with a downstream bend. The model includes holdup at the slug's tail and flow separation at the bend. The obtained analytical and numerical results are validated against experimental data. The effects of holdup, driving pressure and slug length are examined in a parameter variation study.

AN EXACTLY SOLVABLE ONE-DIMENSIONAL MODEL OF FERMIONS WITH CORRELATED HOPPING

1996 ◽  
Vol 10 (27) ◽  
pp. 3673-3683 ◽  
Author(s):  
IGOR N. KARNAUKHOV
Keyword(s):  
Critical Exponents ◽  
Ground State ◽  
Correlation Functions ◽  
State Energy ◽  
One Dimension ◽  
Supersymmetric Model ◽  
Dimensional Model ◽  
Long Distance ◽  
One Dimensional ◽  
Exactly Solvable

A new solution of supersymmetric model of electrons with correlated hopping which generalizes those obtained earlier is formulated. The model is solved in one dimension by the Bethe ansatz. The ground state energy is calculated, and the critical exponents describing the decrease of the correlation functions on long distance are derived.

scholarly journals Floods effects on rivers morphological changes application to the Medjerda River in Tunisia

2016 ◽  
Vol 64 (1) ◽  
pp. 56-66 ◽  
Author(s):  
Mohamed Gharbi ◽  
Amel Soualmia ◽  
Denis Dartus ◽  
Lucien Masbernat
Keyword(s):  
Sediment Transport ◽  
Extreme Events ◽  
Morphological Changes ◽  
High Accuracy ◽  
Dimensional Model ◽  
One Dimensional ◽  
1D Model ◽  
Analysis Of Results ◽  
Major Floods ◽  
Natural Domains

Abstract In Tunisia especially in the Medjerda watershed the recurring of floods becoming more remarkable. In order to limit this risk, several studies were performed to examine the Medjerda hydrodynamic. The analysis of results showed that the recurrences of floods at the Medjerda watershed is strongly related to the sediment transport phenomena. Initially, a one dimensional modelling was conducted in order to determine the sediment transport rate, and to visualize the river morphological changes during major floods. In continuity of this work, we will consider a two-dimensional model for predicting the amounts of materials transported by the Medjerda River. The goal is to visualize the Medjerda behaviour during extreme events and morphological changes occurred following the passage of the spectacular flood of January 2003. As a conclusion for this study, a comparative analysis was performed between 1D and 2D models results. The objective of these comparisons is to visualize the benefits and limitations of tested models. The analysis of the results demonstrate that 2D model is able to calculate the flow variation, sediment transport rates, and river morphological changes during extreme events for complicated natural domains with high accuracy comparing with 1D Model.

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