Statistical Mechanics of the Moment Stress Tensor

1966 ◽  
Vol 9 (1) ◽  
pp. 3 ◽  
Author(s):  
Evelyn F. Keller
Keyword(s):  
Statistical Mechanics ◽  
Stress Tensor ◽  
Moment Stress ◽  
The Moment

scholarly journals An analysis of steady-state distribution in M/M/1 queueing system with balking based on concept of statistical mechanics

2019 ◽  
Author(s):  
IKUO ARIZONO ◽  
Yasuhiko Takemoto
Keyword(s):  
Steady State ◽  
Statistical Mechanics ◽  
Queue Length ◽  
Queueing System ◽  
Analysis Model ◽  
Steady State Distribution ◽  
Steady State Analysis ◽  
Extended Analysis ◽  
The Moment ◽  
State Analysis

The phenomenon of balking has been considered frequently in the steady-state analysis of the M/M/1 queueing system. Balking means the phenomenon that a customer who arrives at a queueing system leaves without joining a queue, since he/she is disgusted with the waiting queue length at the moment of his/her arrival. In the traditional studies for the steady-state analysis of the M/M/1 queueing system with balking, it has been typically assumed that the arrival rates obey an inverse proportional function for the waiting queue length. In this study, based on the concept of the statistical mechanics, we have a challenge to extend the traditional steady-state analysis model for the M/M/1 queueing system with balking. As the result, we have defined an extended analysis model for the M/M/1 queueing system under the consideration of the change in the directivity strength of balking. In addition, the procedure for estimating the strength of balking in this analysis model using the observed data in the M/M/1 queueing system has been also constructed.

scholarly journals Influence of the Moment in Mathematical Models for Open Systems

2021 ◽  
Vol 16 ◽  
pp. 250-260
Author(s):  
Evelina Prozorova
Keyword(s):  
Mathematical Models ◽  
Stress Tensor ◽  
Open Systems ◽  
Three Dimensional ◽  
Theory Of Elasticity ◽  
Collective Effects ◽  
Physical Parameters ◽  
Potential Flows ◽  
The Moment ◽  
Definition Of

Article is proposed, built taking into account the influence of the angular momentum (force) in mathematical models of open mechanics. The speeds of various processes at the time of writing the equations were relatively small compared to modern ones. Theories have generally been developed for closed systems. As a result, in continuum mechanics, the theory developed for potential flows was expanded on flows with significant gradients of physical parameters without taking into account the combined action of force and moment. The paper substantiates the vector definition of pressure and the no symmetry of the stress tensor based on consideration of potential flows and on the basis of kinetic theory. It is proved that for structureless particles the symmetry condition for the stress tensor is one of the possible conditions for closing the system of equations. The influence of the moment is also traced in the formation of fluctuations in a liquid and in a plasma in the study of Brownian motion, Landau damping, and in the formation of nanostructures. The nature of some effects in nanostructures is discussed. The action of the moment leads to three-dimensional effects even for initially flat structures. It is confirmed that the action of the moment of force is the main source of the collective effects observed in nature. Examples of solving problems of the theory of elasticity are given.

The stress tensor of a molecular system: An exercise in statistical mechanics

2006 ◽  
Vol 125 (3) ◽  
pp. 034101 ◽  
Author(s):  
S. Morante ◽  
G. C. Rossi ◽  
M. Testa
Keyword(s):  
Statistical Mechanics ◽  
Stress Tensor ◽  
Molecular System

scholarly journals Understanding At-the-Moment Stress for Parents during COVID-19 Stay-at-Home Restrictions

2021 ◽  
pp. 114025
Author(s):  
Bridget Freisthler ◽  
Paul J. Gruenewald ◽  
Erin Tebben ◽  
Karla Shockley McCarthy ◽  
Jennifer Price Wolf
Keyword(s):  
Moment Stress ◽  
The Moment ◽  
At Home

On the Internal Constitutions of the Planets

1967 ◽  
Vol 1 (1) ◽  
pp. 2-3 ◽  
Author(s):  
K. E. Bullen
Keyword(s):  
Temperature Dependence ◽  
Stress Tensor ◽  
Equations Of State ◽  
Moment Of Inertia ◽  
Terrestrial Planets ◽  
Use Of Data ◽  
The Earth ◽  
The Moment ◽  
Full Stress Tensor ◽  
Secondary Consequence

The internal constitutions of the terrestrial planets Mars, Venus and Mercury are investigated through the use of ‘equations of state’ empirically derived for particular internal zones of the Earth. The equations usually take the form of tabular relations between the pressure p and density p, temperature dependence being treated as of secondary consequence. In using p rather the full stress tensor in solid zones, i.e. in using a hydrostatic theory, the effects of strength and deviatoric stress are also treated as of secondary consequence. Except for the use of data on the ellipticity ∊ of figure of a planet to provide evidence on the moment of inertia I, the planets are treated as spherically symmetrical.

Statistical mechanics of inhomogeneous fluids

1982 ◽  
Vol 379 (1776) ◽  
pp. 231-246 ◽  
Keyword(s):  
Surface Tension ◽  
Free Energy ◽  
Angular Momentum ◽  
Statistical Mechanics ◽  
Stress Tensor ◽  
Pressure Difference ◽  
Strain Tensor ◽  
Pressure Tensor ◽  
Conservation Of Momentum ◽  
Statistical Mechanical

The nature of the microscopic stress tensor in an inhomogeneous fluid is discussed, with emphasis on the statistical mechanics of drops. Changes in free energy for isothermal deformations of a fluid are expressible as volume integrals of the stress tensor ‘times’ a strain tensor. A particular radial distortion of a drop leads to statistical mechanical expressions for the pressure difference across the surface of the drop. We find that the stress tensor is not uniquely defined by the microscopic laws embodying the conservation of momentum and angular momentum and that the am­biguity remains in the ensemble average, or pressure tensor, in regions of inhomogeneity. This leads to difficulties in defining statistical mechanical expressions for the surface tension of a drop.

Sign in / Sign up

Export Citation Format

Share Document