Citizens of the Most Probable State

2013 ◽  
pp. 227-254
Keyword(s):  
Probable State

A Probable State: The Novel, the Contract, and the Jews (review)

2003 ◽  
Vol 45 (4) ◽  
pp. 768-770
Author(s):  
Bruce Robbins
Keyword(s):  
The Novel ◽  
Probable State

The Consolidation of Muddy Sediments

1939 ◽  
Vol 76 (4) ◽  
pp. 170-172 ◽  
Author(s):  
O. T. Jones
Keyword(s):  
Probable State ◽  
Muddy Sediments

In the study of the structures acquired by sediments in the process of slumping, a knowledge of the probable state of consolidation of the materials is of some importance in forming correct views regarding submarine sliding and the conditions under which it occurred.

A Probable State: The Novel, the Contract, and the Jews

2003 ◽  
Vol 64 (2) ◽  
pp. 260-265
Author(s):  
L. M. E. Goodlad
Keyword(s):  
The Novel ◽  
Probable State

Some Special Instances of Entropy Change

2017 ◽  
pp. 144-148
Author(s):  
Alberto Gianinetti
Keyword(s):  
Statistical Mechanics ◽  
Fundamental Equation ◽  
Entropy Change ◽  
General Idea ◽  
Probable State

A few particular phenomena are quite difficult to frame into the fundamental equation, nonetheless they can be interpreted to the light of the general idea of statistical mechanics that any system and any overall change tend to the most probable state, i.e., a state that is microscopically equilibrated and then macroscopically stable.

Entropy Increase as Tendency: Drive and Effector

2017 ◽  
pp. 93-96
Author(s):  
Alberto Gianinetti
Keyword(s):  
Particle Motion ◽  
Second Law Of Thermodynamics ◽  
Second Law ◽  
Entropy Increase ◽  
Probable State ◽  
Definition Of

A useful definition of entropy is “a function of the system equilibration, stability, and inertness”, and the tendency to an overall increase of entropy, which is set forth by the second law of thermodynamics, should be meant as “the tendency to the most probable state”, that is, to a state having the highest equilibration, stability, and inertness that the system can reach. The tendency to entropy increase is driven by the probabilistic distributions of matter and energy and it is actualized by particle motion.

World Oil Industry: Forecasts of Development up to 2035

2013 ◽  
pp. 54-61
Author(s):  
N. Baykov
Keyword(s):  
Oil And Gas ◽  
International Energy Agency ◽  
Oil Industry ◽  
Oil And Gas Industry ◽  
Primary Energy ◽  
Department Of Energy ◽  
Energy Resources ◽  
Energy Agency ◽  
Gas Industry ◽  
Probable State

The fresh forecasts on the probable state of world oil and gas industry up to 2035 have appeared in late 2011. The article deals with the main points and conclusions of the available forecasts of the International Energy Agency and the U.S. Department of Energy, especially concerning supposed indicators of output and consumption of primary energy resources, primarily crude oil, in the whole world and with breakdown by regions.

Boltzmann: the probabilistic interpretation of entropy

2020 ◽  
pp. 570-595
Author(s):  
Robert T. Hanlon
Keyword(s):  
Probability Theory ◽  
Statistical Mechanics ◽  
Gas Phase ◽  
Probabilistic Interpretation ◽  
Atoms And Molecules ◽  
Collective Work ◽  
Novel Approach ◽  
Probable State ◽  
Probable Distribution ◽  
Most Probable Distribution

Boltzmann’s collective work was a mathemetical tour de force. Building on Clausius and Maxwell, he demonstrated that the distribution of gas phase atoms and molecules follows from probability theory. Atoms and molecules distribute themselves in space and momentum to the most probable distribution. Boltzmann used probability theory to quantify the most probable state and then demonstrated the connection between this state and its entropy. This novel approach, later validated by Sackur–Tetrode, led to the creation of statistical mechanics.

On the most probable states of two-dimensional plasmas

1996 ◽  
Vol 56 (3) ◽  
pp. 553-567 ◽  
Author(s):  
C. E. Seyler
Keyword(s):  
Numerical Solution ◽  
Coherent States ◽  
Initial Conditions ◽  
Two Dimensional ◽  
Information Theoretic ◽  
Random Initial Conditions ◽  
Probable State ◽  
Local Invariants ◽  
State Analysis

The Charney-Hasegawa-Mima equation and two-dimensional magnetohydrodynamics (MHD) have ideal Lagrangian invariants that are used as the basis for most probable state analysis. An information-theoretic entropy defined in terms of the Lagrangian invariants leads to predictions for relationships between the field quantities. These relationships are tested through numerical solution of the equations through the turbulent relaxation of random initial conditions to coherent states. It is found that the predictions for the most probable state for the Charney—Hasegawa—Mima equation are essentially correct, whereas for two-dimensional MHD they are not. Questions and issues are raised pertaining to why a most probable state analysis based upon Lagrangian invariants seems to work in the case of the Charney—Hasegawa—Mima equation but not for two-dimensional MHIJ. A qualitatively correct entropy is proposed for two-dimensional MHD based upon field variables that are not local invariants.

Part I The Elements of Bank Financial Supervision, 5 Bank Capital Requirements

2018 ◽  
Author(s):  
Gleeson Simon
Keyword(s):  
Stress Testing ◽  
Stress Test ◽  
Capital Requirements ◽  
Financial Supervision ◽  
Capital Requirement ◽  
Bank Capital ◽  
Leverage Ratio ◽  
The Third ◽  
The World ◽  
Probable State

This chapter begins by discussing the three overlapping capital requirements that banks are subject to. The first is the orthodox Basel capital requirement. The second is the Leverage Ratio, which is simply a non-risk-weighted capital requirement. The third is the stress test requirement. This has historically been the largest of the three. Stress testing identifies a particular probable state of the world, estimates the total loss which would occur if that state of the world were to eventuate, and requires capital sufficient to ensure that the bank retains sufficient capital after suffering the projected losses. The remainder of the chapter covers Pillar 2 assessment, capital floor, and capital buffers.

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