An approach to generalized one-dimensional self-similar elasticity

2012 ◽  
Vol 61 ◽  
pp. 103-111 ◽  
Author(s):  
Thomas M. Michelitsch ◽  
Gérard A. Maugin ◽  
Mujibur Rahman ◽  
Shahram Derogar ◽  
Andrzej F. Nowakowski ◽  
...  
Keyword(s):  
One Dimensional ◽  
Self Similar

A self-similar solution for expansion into a vacuum of a collisionless plasma bunch

1998 ◽  
Vol 59 (1) ◽  
pp. 83-90 ◽  
Author(s):  
A. V. BAITIN ◽  
K. M. KUZANYAN
Keyword(s):  
Electron Distribution Function ◽  
Collisionless Plasma ◽  
Electron Component ◽  
One Dimensional ◽  
Ultrarelativistic Electron ◽  
Plasma Bunch ◽  
Self Similar Solution ◽  
Self Similar ◽  
The One ◽  
Similar Solutions

The process of expansion into a vacuum of a collisionless plasma bunch with relativistic electron temperature is investigated for the one-dimensional case. Self-similar solutions for the evolution of the electron distribution function and ion acceleration are obtained, taking account of cooling of the electron component of plasma for the cases of non-relativistic and ultrarelativistic electron energies.

Transient Fluid Flow in Porous Media: Inertia-Dominated to Viscous-Dominated Transition

1981 ◽  
Vol 103 (2) ◽  
pp. 339-343 ◽  
Author(s):  
R. H. Nilson
Keyword(s):  
Transition Period ◽  
Separation Of Variables ◽  
Pressure Ratio ◽  
Solution Procedure ◽  
Infinite Medium ◽  
Flow In Porous Media ◽  
One Dimensional ◽  
Forchheimer’S Equation ◽  
Gas Compression ◽  
Self Similar

A one-dimensional isothermal flow is induced by a step change in the pressure at the boundary of a semi-infinite medium. The early flow is inertia-dominated, in accordance with Ergun’s equation, and is self-similar in the variable x/t3. The late flow is viscous-dominated, in accordance with Darcy’s law, and is self-similar in the variable x/t. Comprehensive numerical results are presented for both of these asymptotic regimes and also for the intermediate transition period which is governed by Forchheimer’s equation. The only explicit parameter is the pressure ratio, N, which is varied from N → ∞ (strong gas-compression), through N → 1 (constant compressibility liquid), to N → 0 (strong gas-rarefaction). The solution procedure is based on a generalized separation-of-variables approach which should also be useful in other problems which possess self-similar asymptotic solutions both at early times and at late times.

scholarly journals On the Nature of Electronic Wave Functions in One-Dimensional Self-Similar and Quasiperiodic Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-35 ◽  
Author(s):  
Enrique Maciá
Keyword(s):  
Transport Properties ◽  
Wave Functions ◽  
Critical States ◽  
One Dimensional ◽  
Precise Nature ◽  
Self Similar ◽  
Electronic Wave Functions ◽  
Quasiperiodic Systems ◽  
The Relationship ◽  
Singular Continuous Spectra

The interest in the precise nature of critical states and their role in the physics of aperiodic systems has witnessed a renewed interest in the last few years. In this work we present a review on the notion of critical wave functions and, in the light of the obtained results, we suggest the convenience of some conceptual revisions in order to properly describe the relationship between the transport properties and the wave functions distribution amplitudes for eigen functions belonging to singular continuous spectra related to both fractal and quasiperiodic distribution of atoms through the space.

scholarly journals On the generation of self-similar with long-range dependent traffic using piecewise affine chaotic one-dimensional maps (renewed version-2)

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Long Range ◽  
Hurst Exponent ◽  
Long Range Dependence ◽  
One Dimensional ◽  
Temporal Series ◽  
Qualitative And Quantitative ◽  
Piecewise Affine ◽  
Proposed Model ◽  
Self Similar ◽  
One Dimensional Maps

A qualitative and quantitative extension of the chaotic models used to generate self-similar traffic with long-range dependence (LRD) is presented by means of the formulation of a model that considers the use of piecewise affine one-dimensional maps. Based on the disaggregation of the temporal series generated, a valid explanation of the behavior of the values of Hurst exponent is proposed and the feasibility of their control from the parameters of the proposed model is shown.

Sign in / Sign up

Export Citation Format

Share Document