scholarly journals Explicit Analytical Solution for Random Close Packing in d=2 and d=3

2022 ◽  
Vol 128 (2) ◽  
Author(s):  
Alessio Zaccone
Keyword(s):  
Analytical Solution ◽  
Close Packing ◽  
Random Close Packing ◽  
Explicit Analytical Solution

scholarly journals Boundary problem on semi-direct for pseudoparabolic equation with a small parametr

2020 ◽  
pp. 29-41
Author(s):  
Б.С. Аблабеков ◽  
А.Т. Муканбетова
Keyword(s):  
Analytical Solution ◽  
Boundary Value Problem ◽  
Small Parameter ◽  
Boundary Problem ◽  
Unique Solvability ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Pseudoparabolic Equation ◽  
Explicit Analytical Solution ◽  
Initial Boundary Value

Данная статья посвящена построению классического решения краевой задачи на полупрямой для линейного псевдопараболического уравнения с малым параметром. Для построения явного решения используется метод преобразование Фурье. В работе исследуется вопрос об однозначной разрешимости начально-краевой задачи для псевдопараболического уравнения с малым параметром на полуоси. Получено явное аналитическое решение поставленной задачи. In this paper, we study the question of the unique solvability of the initial-boundary-value problem for a pseudoparabolic equation with a small parameter on the semi-axis. An explicit analytical solution to the problem is obtained.

Structural properties of dense hard sphere systems near random close packing

2011 ◽  
Author(s):  
B. A. Klumov ◽  
S. A. Khrapak ◽  
G. E. Morfill ◽  
Vladimir Yu. Nosenko ◽  
Padma K. Shukla ◽  
...  
Keyword(s):  
Structural Properties ◽  
Hard Sphere ◽  
Close Packing ◽  
Random Close Packing

ENTANGLEMENT DYNAMICS IN THE THREE-ATOM TAVIS-CUMMINGS MODEL

2009 ◽  
Vol 07 (05) ◽  
pp. 1001-1007 ◽  
Author(s):  
JIAN-SONG ZHANG ◽  
AI-XI CHEN
Keyword(s):  
Electromagnetic Field ◽  
Analytical Solution ◽  
Quantum System ◽  
Single Mode ◽  
Interaction Time ◽  
Entanglement Dynamics ◽  
Cavity Field ◽  
W States ◽  
Explicit Analytical Solution

We investigate the entanglement dynamics in a quantum system consisting of three two-level atoms resonantly coupled to a single mode electromagnetic field in a cavity. An explicit analytical solution of the system is obtained and the entanglement of the system is studied with the help of the concurrence and tangle. It is also shown that the W states could be generated if the interaction time of the two-level atoms and the cavity field is chosen appropriately.

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