Word Finder - entropy

definition

Strictly thermodynamic entropy. A measure of the amount of energy in a physical system that cannot be used to do work.

definition

A measure of the disorder present in a system.

example

Ludwig Boltzmann defined entropy as being directly proportional to the natural logarithm of the number of microstates yielding an equivalent thermodynamic macrostate (with the eponymous constant of proportionality). Assuming (by the fundamental postulate of statistical mechanics), that all microstates are equally probable, this means, on the one hand, that macrostates with higher entropy are more probable, and on the other hand, that for such macrostates, the quantity of information required to describe a particular one of its microstates will be higher. That is, the Shannon entropy of a macrostate would be directly proportional to the logarithm of the number of equivalent microstates (making it up). In other words, thermodynamic and informational entropies are rather compatible, which shouldn't be surprising since Claude Shannon derived the notation 'H' for information entropy from Boltzmann's H-theorem.

definition

The capacity factor for thermal energy that is hidden with respect to temperature http//arxiv.org/pdf/physics/0004055.

definition

The dispersal of energy; how much energy is spread out in a process, or how widely spread out it becomes, at a specific temperature. https//web.archive.org/web/20060702234316/http://www.entropysite.com/students_approach.html

definition

A measure of the amount of information and noise present in a signal.

definition

The tendency of a system that is left to itself to descend into chaos.

Changes of entropy must be calculated in terms of quantities of heat, and must be interpreted in a similar manner.

In the special case of a substance isolated from external heat supply, dH=o, the change of entropy is zero in a reversible process, but must be positive if the process is not reversible.

Things tend to move toward disorder I think its called entropy or something that's Isaac's law.

In any spontaneous irreversible change, if the system is heat-isolated, there must be an increase of entropy.

Since the condition of heat-isolation is impracticable, the condition of maximum entropy cannot, as a rule, be directly applied, and it is necessary to find a more convenient method of expression.

I showed how gravitational entropy can be defined in general.

In practice, however, there is always some frictional dissipation, accompanied by an increase of entropy and by a fall of pressure.

In passing along an adiabatic there is no change of entropy, since no heat is absorbed.

The adiabatics are lines of constant entropy, and are also called Isentropics.

Even if the expansion is adiabatic, in the sense that it takes place inside a non-conducting enclosure and no heat is supplied from external sources, it will not be isentropic, since the heat supplied by internal friction must be included in reckoning the change of entropy.

At higher energies, where there is no entropy bottleneck, this time scale separation disappears altogether.

Two voxel-based similarity measures, the linear correlation coefficient and the entropy correlation coefficient, are used.

Extension of the direct methods approach to structure solving by X-ray or electron crystallography based on the principle of maximum entropy.

In the microcanonical ensemble the presence of a first-order phase transition is indicated by two maxima in the Landau entropy separated by a well.

The small boy who built the sandcastle reduced the entropy in a localized area by doing work.

If the braid formed by the rods has positive topological entropy, then material lines must grow exponentially, ensuring chaos.

Combining probabilistic logic programming with the power of maximum entropy.

So they built Entropy on Dover Street (well, converted a former joiner 's building ).

Thus one can not localize the entropy on the horizon, which is just like the axis in ordinary three dimensional space.

They function on the principle of constrained maximization of the Shannon entropy, which produces the most statistically probable solution consistent with the constraints.

The majority of thermodynamical problems may be treated without any reference to entropy, but it affords a convenient method of expression in abstract thermodynamics, especially in the consideration of irreversible processes and in reference to the conditions of equilibrium of heterogeneous systems.

The rationale for the colligative properties is the increase in entropy on mixing solutes with the water.

The activity of an organic process is the rate at which it increases the thermodynamic entropy of the universe.

In all such cases there is necessarily, by Carnot's principle, a loss of efficiency or available energy, accompanied by an increase of entropy, which serves as a convenient measure or criterion of the loss.

If the change is not reversible, but the final state is the same, the change of entropy, do, is the same, but it is no longer equal to dII/B.

Any change involving decrease of entropy is impossible.

The entropy tends to a maximum, and the state is one of stable equilibrium when the value of the entropy is the maximum value consistent with the conditions of the problem.

Entropy restaurant serves top-notch, exciting, modern cuisine which entertains the eyes and tastebuds rather than simply fills the belly.

In virtue of relations (2), the change of entropy of a substance between any two states depends only on the initial and final states, and may be reckoned along any reversible path, not necessarily isothermal, by dividing each small increment of heat, dH, by the temperature, 0, at which it is acquired, and taking the sum or integral of the quotients, dH/o, so obtained.

In any small reversible change in which the substance absorbs heat, dH, from external sources, the increase of entropy, d0, must be equal to dH/9.

The total entropy of the system is found by multiplying the entropy per unit mass of the substance in each state by the mass existing in that state, and adding the products so obtained.

The entropy cannot diminish.

This quotient is called the change of entropy, and may be denoted by (4,"-0').