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equilibrium

Definitions

  • WordNet 3.6
    • n equilibrium a sensory system located in structures of the inner ear that registers the orientation of the head
    • n equilibrium a chemical reaction and its reverse proceed at equal rates
    • n equilibrium equality of distribution
    • n equilibrium a stable situation in which forces cancel one another
    • ***
Webster's Revised Unabridged Dictionary
  • Interesting fact: According to experts, large caves tend to "breathe"; they inhale and exhale great quantities of air when the barometric pressure on the surface changes, and air rushes in or out seeking equilibrium.
    • Equilibrium A balancing of the mind between motives or reasons, with consequent indecision and doubt.
    • Equilibrium A level position; a just poise or balance in respect to an object, so that it remains firm; equipoise; as, to preserve the equilibrium of the body. "Health consists in the equilibrium between those two powers."
    • Equilibrium Equality of weight or force; an equipoise or a state of rest produced by the mutual counteraction of two or more forces.
    • ***
Century Dictionary and Cyclopedia
    • n equilibrium Equipoise; the state of being equally balanced; a situation of a body in which the forces acting on it balance one another; also, a determination of forces such that they balance one another, so that their resultant vanishes. Thus, when a heavy body rests on a table, the weight and the elastic forces which the weight evokes are in equilibrium (a phrase often used in the Latin form in æquilibrio, or more commonly in equilibrio)—that is, are precisely equal and opposite; thus, a man walking a tight-rope usually carries a pole or balancing-rod to aid him in preserving his equilibrium—that is, in keeping his center of gravity over the rope, so that his weight and the spring of the rope may act in the same vertical line. Similarly, a floating body is in equilibrium when its weight and the upward pressure or buoyancy of the liquid are exactly equal and opposite. When a body, being slightly moved out of its position, always tends to return to its position, the latter is said to be one of stable equilibrium; when a body, on the contrary, once removed, however slightly, from the position of equilibrium, tends to depart from it more and more, like a needle balanced on its point, its position is said to be one of unstable equilibrium; and when a body, being moved more or less from its position of equilibrium, will rest in any of the positions in which it is placed, and is indifferent to any particular position, its equilibrium is said to be neutral or indifferent. A perfect sphere, of uniform material, resting upon a horizontal plane, is in a state of neutral equilibrium; an oblate spheroid with its axis of rotation vertical is in stable equilibrium; while a prolate spheroid with its axis vertical is in unstable equilibrium on the same plane. A body suspended by its center of gravity is in a state of neutral or indifferent equilibrium. If a body is suspended by any other point, it will be in a state of stable equilibrium when its center of gravity is perpendicularly below the point of suspension; but if the center of gravity is above the point of suspension, the equilibrium will be unstable.
    • n equilibrium The state of balance of any causes, powers, or motives, so that no effect is produced.
    • n equilibrium A state of just poise; a position of due balance. Especially— Mental balance.
    • n equilibrium In the fine arts: The just poise or balance of a figure or other object, making it appear to stand firmly. The properly balanced disposition or arrangement of objects, lights, shadows, etc.
    • n equilibrium Equality of influence or effect; due or just relationship.
    • n equilibrium Indifferent or neutral equilibrium, when the vertical gradient of temperature in still air is exactly equal to the adiabatic rate in moving air, and a disturbed mass stays in its new location.
    • n equilibrium Unstable equilibrium, when the vertical gradient of temperature in still air is greater than the adiabatic rate in moving air. In this ease the mass of air when once started in vertical motion continues to rise or fall as the case may be, because the thermodynamic change in its own temperature is less than the change actually existing in the surrounding atmosphere. A thunder-storm, with its ascending currents and formation of tall cumuli, illustrates unstable equilibrium.
    • n equilibrium In chem.: An assumed condition of a mass consisting of the same or of different kinds of matter, in which apparently no chemical change is going on, but in which it is imagined that individual atoms are exchanging places with others of exactly similar character, so that in a given (perhaps extremely short) time many molecules may be decomposed and precisely as many molecules, of absolutely similar character, formed.
    • n equilibrium The equilibrium of a liquid cooled, out of contact with its solid phase, below the temperature of equilibrium between the liquid and the solid; or of a liquid heated, out of contact with its vapor, above the temperature of equilibrium between the liquid and the vapor having a pressure equal to the actual pressure on the liquid. Water, free from ice, may be cooled many degrees below its usual freezing-point; when brought into contact with a fragment of ice, sometimes when disturbed mechanically, part of the water instantly freezes, and the temperature rises, from that of the labile equilibrium of water alone, to that of the stable equilibrium between water and ice.
    • ***
Chambers's Twentieth Century Dictionary
    • Equilibrium equal balancing: equality of weight or force: level position
    • ***

Quotations

  • Camille Paglia
    Camille%20Paglia
    “Despite crime's omnipresence, things work in society, because biology compels it. Order eventually restores itself, by psychic equilibrium.”
  • Nathalie Sarraute
    Nathalie Sarraute
    “Suspicion is one of the morbid reactions by which an organism defends itself and seeks another equilibrium.”

Etymology

Webster's Revised Unabridged Dictionary
L. aequilibrium, fr. aequilibris, in equilibrium, level; aequus, equal + libra, balance. See Equal, and Librate

Usage

In literature:

But the surprising elasticity of many nations may start up an unexpected activity which will upset this equilibrium.
"Influences of Geographic Environment" by Ellen Churchill Semple
Since then the equilibrium between them has been greatly disturbed.
"American Eloquence, Volume II. (of 4) Studies In American Political History (1896)" by Various
Thus the old equilibrium was destroyed, and fresh combinations between the disunited powers of Italy took place.
"Renaissance in Italy, Volume 1 (of 7)" by John Addington Symonds
This unstable equilibrium rests upon scales that are in your hands.
"New York Times Current History; The European War, Vol 2, No. 3, June, 1915" by Various
To them she owes her equilibrium.
"How To Write Special Feature Articles" by Willard Grosvenor Bleyer
Even before the war, however, the equilibrium thus established between old civilizations and new resources was being threatened.
"The Economic Consequences of the Peace" by John Maynard Keynes
That equilibrium must be restored.
"Notable Events of the Nineteenth Century" by Various
The equilibrium of the earth is maintained by the doing of what is right.
"The Literature of the Ancient Egyptians" by E. A. Wallis Budge
I should like, for the sake of restoring the desired equilibrium, to take a part of the possessions of others.
"Essays on Political Economy" by Frederic Bastiat
Mosment ascended at Lille, on a light platform; an oscillation made him lose his equilibrium.
"A Voyage in a Balloon (1852)" by Jules Verne
I oppose the project unless the ministers engage to raise the tariff in such a way as to restore the equilibrium.
"What Is Free Trade?" by Frédérick Bastiat
Sheppard's weight had destroyed the equilibrium of the plank: it swerved, and slowly descended.
"Jack Sheppard" by William Harrison Ainsworth
The temporal conditions of such equilibrium are a strict function of the degree of accentuation which the rhythm group presents.
"Harvard Psychological Studies, Volume 1" by Various
The going was more or less rough and Pill dodged many gopher-holes, to the peril of his rider's equilibrium.
"Sundown Slim" by Henry Hubert Knibbs
Bonnie herself was fairly overcome and couldn't get her equilibrium at all.
"The Witness" by Grace Livingston Hill Lutz
Thou art not fast-set on thy philosophic equilibrium.
"Melchior's Dream and Other Tales" by Juliana Horatia Ewing
Population is far from come to its equilibrium, and knowledge {14} is farther distant still.
"An Inquiry into the Permanent Causes of the Decline and Fall of Powerful and Wealthy Nations." by William Playfair
Sometimes an unseen hummock would all but upset us; so we had to scramble hastily to windward to restore our equilibrium.
"The Killer" by Stewart Edward White
Hoops and coins, which cannot preserve their equilibrium when in rest, keep it when set in motion.
"Autumn Leaves" by Various
An equilibrium would not displace itself!
"Winds Of Doctrine" by George Santayana
***

In poetry:

So is all equilibrium restored:
I leave the noontide wealth of richer bloom
To the destroyer, the impatient ravisher,
The intemperate bee, the immoderate bird.
"The Daisy" by Marya Zaturenska
Then suddenly the noon turns afternoon
And afternoon like an ill-written page
Will fade, until the very stain of light
Gathers in all the venom of the night-
The equilibrium of the thirtieth age.
"Fragment Of A Meditation" by Allen Tate

In news:

I don't want to single out Krugman and DeLong, but technocratic economists in general engage in partial equilibrium social science when they ignore moral concerns and the constraints "legitimacy" places on feasible policy.
In this paper, we characterize how different topologies of the interaction network affect the probability of existence of a pure Nash equilibrium in a graphical game with random payoffs.
Britain may have reached an equilibrium between the two sectors.
Right-to-work shift begins race to a new equilibrium.
Is the 40 or 50 IPOs we saw this year about the right equilibrium.
Seeking equilibrium in the midst of glamour-madness.
Administering Elafin directly into the intestine could protect against inflammatory attacks and restore intestinal equilibrium and its functions.
Price equilibrium is achieved when supply and demand is in balance.
For generations, nomads like Wantala have lived in a precarious equilibrium with the sky above them.
For generations, nomads have lived in a precarious equilibrium with the sky above them.
The problem is that this careful equilibrium required everyone in the administration to pull together, accepting that the policy was settled and was not open to constant challenge.
Rachel Carson's "Silent Spring" pushed the pendulum past the point of scientifically justified equilibrium, and on to the other side of costly paranoia about potentially live-saving pesticides .
Phase Changes in Pure Component Systems: Solid and Solid (R. Vapour-Liquid Equilibrium at Low Pressure (J. Vapour-Liquid Equilibrium at High Pressure (D.
Sodium Leakage–Hydrogen Cycle In the hydrogen cycle, equilibrium leakage appears to govern sodium levels in the polished condensate.
(1) Extent to which a servo system carries the controlled variables past their final equilibrium position .
***

In science:

CFS have understood Smax to always be the equilibrium entropy, from which it follows that ∆ and Γαβ vanish for all equilibrium systems.
Response to Comments on "Simple Measure for Complexity"
It is not in general true that ∆ is identically 1 for equilibrium systems; therefore neither “order” nor “complexity” must vanish at equilibrium.
Response to Comments on "Simple Measure for Complexity"
As shown by Cugliandolo and Dean, for times larger than a limiting time tc the system in which ∆ 6= 0 will always reach an equilibrium state and will thus be characterized by equilibrium dynamics.
Dynamics of relaxor ferroelectrics
In the equilibrium approach, one studies the properties of Gibbs equilibrium.
Random Heteropolymer Dynamics
The probability distribution of EVRW represents the equilibrium Gibbs distribution, i.e., the equilibrium state of a surface where all configurations that satisfy the mod 2 constraint are equally likely.
Anomalous Roughness, Localization, and Globally Constrained Random Walks
It is precisely because of these fluctuations that an equilibrium system manages to remain in equilibrium.
An Introduction to Monte Carlo Simulation of Statistical physics Problem
We say |f i is the equilibrium probability vector representing the equilibrium ensemble.
Monte Carlo: Basics
Any initial ensemble represented by |ui with nonzero overlap with the equilibrium ensemble, will evolve to the equilibrium ensemble.
Monte Carlo: Basics
Regardless of whether the cloud as a whole is in dynamical equilibrium, it will in general not be far from local hydrostatic equilibrium, i.e., L ∼ LJ where LJ is the local Jeans length.
Explaining the Lyman-alpha forest
In a domain forming system equilibrium is rapidly reached in the interior of domains while the interfacial degrees of freedom remain out of equilibrium for a time which diverges with the size of the system.
Off equilibrium response function in the one dimensional random field Ising model
U0Lθ /T with α(n) ≥ n, or grow even faster with ln τ n ≫ Lθ . A theory of these timescales is crucial to understanding both equilibrium response and correlations and to near-equilibrium phenomena such as creep[2, 4].
Field theory of statics and dynamics of glasses: rare events and barrier distributions
From a physical point of view, networks can be equilibrium and non-equilibrium.
How to generate a random growing network
Such behaviours are quite reminiscent of equilibrium phase transitions, although no general principle applies a priori in such out of equilibrium situations .
A simple model for heterogeneous flows of yield stress fluids
The equilibrium state is also of interest as the asymptotic one for out-of-equilibrium processes.
Low Temperature Properties of the Random Field Potts Chain
For spontaneous evolutions of chaotic closed systems an entropy can be defined, which monotonical ly increases from non-equilibrium in the present to equilibrium in the future.
The cosmological origin of time-asymmetry
***