Thermodynamics Entropy Quotes

Once I got home, I sulked for a while. All my brilliant plans foiled by thermodynamics. Damn you, Entropy!

All my brilliant plans foiled by thermodynamics. Damn you, Entropy!

Some say Karma is a bitch. It all comes back to you, eventually. If this world can be boiled down to two truths. It would be the second law of thermodynamics (entropy) and the law of action and reaction (Karma). Well, if Karma really makes up the fabric of this Universe, if it is really a bitch, then prove it in this life itself! Why wait for reincarnation? Do you think I would be me once I die and transition to another body? No! What makes me, me, are my memories.

The fundamental laws of the universe which correspond to the two fundamental theorems of the mechanical theory of heat. 1. The energy of the universe is constant. 2. The entropy of the universe tends to a maximum.

The law that entropy always increases holds, I think, the supreme position among the laws of Nature. If someone points out to you that your pet theory of the universe is in disagreement with Maxwell's equations - then so much the worse for Maxwell's equations. If it is found to be contradicted by observation - well, these experimentalists do bungle things sometimes. But if your theory is found to be against the Second Law of Thermodynamics I can give you no hope; there is nothing for it to collapse in deepest humiliation.

The Second Law of Thermodynamics defines the ultimate purpose of life, mind, and human striving: to deploy energy and information to fight back the tide of entropy and carve out refuges of beneficial order. An underappreciation of the inherent tendency toward disorder, and a failure to appreciate the precious niches of order we carve out, are a major source of human folly.

The universe tended towards chaos and entropy. That was basic thermodynamics. Maybe it was basic existence too.

We all behave like Maxwell’s demon. Organisms organize. In everyday experience lies the reason sober physicists across two centuries kept this cartoon fantasy alive. We sort the mail, build sand castles, solve jigsaw puzzles, separate wheat from chaff, rearrange chess pieces, collect stamps, alphabetize books, create symmetry, compose sonnets and sonatas, and put our rooms in order, and all this we do requires no great energy, as long as we can apply intelligence. We propagate structure (not just we humans but we who are alive). We disturb the tendency toward equilibrium. It would be absurd to attempt a thermodynamic accounting for such processes, but it is not absurd to say we are reducing entropy, piece by piece. Bit by bit. The original demon, discerning one molecules at a time, distinguishing fast from slow, and operating his little gateway, is sometimes described as “superintelligent,” but compared to a real organism it is an idiot savant. Not only do living things lessen the disorder in their environments; they are in themselves, their skeletons and their flesh, vesicles and membranes, shells and carapaces, leaves and blossoms, circulatory systems and metabolic pathways - miracles of pattern and structure. It sometimes seems as if curbing entropy is our quixotic purpose in the universe.

Though I felt dissatisfied, at least I felt like somebody, a person, rather than a thing exemplifying the second law of thermodynamics (all order tends toward entropy, decay, etc.).

A permanent state is reached, in which no observable events occur. The physicist calls this the state of thermodynamical equilibrium, or of ‘maximum entropy’. Practically, a state of this kind is usually reached very rapidly. Theoretically, it is very often not yet an absolute equilibrium, not yet the true maximum of entropy. But then the final approach to equilibrium is very slow. It could take anything between hours, years, centuries,

The general struggle for existence of animate beings is not a struggle for raw materials – these, for organisms, are air, water and soil, all abundantly available – nor for energy which exists in plenty in any body in the form of heat, but a struggle for [negative] entropy, which becomes available through the transition of energy from the hot sun to the cold earth.

a hallmark of a living system is that it maintains or reduces its entropy by increasing the entropy around it. In other words, the second law of thermodynamics has a life loophole: although the total entropy must increase, it’s allowed to decrease in some places as long as it increases even more elsewhere. So life maintains or increases its complexity by making its environment messier.

I know this may sound like an excuse," he said. "But tensor functions in higher differential topology, as exemplified by application of the Gauss-Bonnett Theorem to Todd Polynomials, indicate that cohometric axial rotation in nonadiabatic thermal upwelling can, by random inference derived from translational equilibrium aggregates, array in obverse transitional order the thermodynamic characteristics of a transactional plasma undergoing negative entropy conversions." "Why don't you just shut up," said Hardesty.

The laws of thermodynamics tell us something quite different. Economic activity is merely borrowing low-entropy energy inputs from the environment and transforming them into temporary products and services of value. In the transformation process, often more energy is expended and lost to the environment than is embedded in the particular good or service being produced.

Our subjective sense of the direction of time, the psychological arrow of time, is therefore determined within our brain by the thermodynamic arrow of time. Just like a computer, we must remember things in the order in which entropy increases. This makes the second law of thermodynamics almost trivial. Disorder increases with time because we measure time in the direction in which disorder increases. You can’t have a safer bet than that!

Entropy—already a difficult and poorly understood concept—is a measure of disorder in thermodynamics, the science of heat and energy.

The second law of thermodynamics says that the entropy of a system increases with time i.e. disorder rises as you age, leading to frantic chaos at times. Be aware of it. Do not fight it.

Love takes its meaning from the mainfold ways in which it is used; which are indefinite in number. You can never understand its menaing fully because you can never experience love in all its context. And so it is energy and entropy.

Clausius summarized his application of entropy to thermodynamics in two dramatic phrases that had a big impact at the time. They were (1) First Law: The energy of the universe is constant, and (2) Second Law: The entropy of the universe tends to a maximum.

The law that entropy always increases, holds, I think, the supreme position among the laws of Nature. … if your theory is found to be against the second law of thermodynamics I can give you no hope; there is nothing for it but to collapse in deepest humiliation.

mathematician Steven Strogatz puts it . . . In every case, these feats of synchrony occur spontaneously, almost as if nature has an eerie yearning for order. And that raises a profound mystery: Scientists have long been baffled by the existence of spontaneous order in the universe. The laws of thermodynamics seem to dictate the opposite, that nature should inexorably degenerate toward a state of greater disorder, greater entropy. Yet all around us we see magnificent structures that have somehow managed to assemble themselves. This enigma bedevils all of science today.2

Entropy is the loyal servant of the second law of thermodynamics. So, if we think of entropy as a character in our story, we should imagine it as dissolute, lurking, careless of others’ pain and suffering, not interested in looking you in the eye. Entropy is also very, very dangerous, and in the end it will get us all.

It is very desirable to have a word to express the Availability for work of the heat in a given magazine; a term for that possession, the waste of which is called Dissipation. Unfortunately the excellent word Entropy, which Clausius has introduced in this connexion, is applied by him to the negative of the idea we most naturally wish to express. It would only confuse the student if we were to endeavour to invent another term for our purpose. But the necessity for some such term will be obvious from the beautiful examples which follow. And we take the liberty of using the term Entropy in this altered sense ... The entropy of the universe tends continually to zero.

THE WORLD IS APPROACHING TOWARDS ANARCHY" : The second law of thermodynamics concludes that the entropy of universe is increasing with time . Which means with time , the randomness or disorderness is also increasing. Anarchy is the condition of excessive social entropy . Thus , we can conclude that finally universe will reach to the condition of anarchy . -anup joshi

This “Hawking temperature” of a black hole and its “Hawking radiation” (as they came to be called) were truly radical—perhaps the most radical theoretical physics discovery in the second half of the twentieth century. They opened our eyes to profound connections between general relativity (black holes), thermodynamics (the physics of heat) and quantum physics (the creation of particles where before there were none). For example, they led Stephen to prove that a black hole has entropy, which means that somewhere inside or around the black hole there is enormous randomness. He deduced that the amount of entropy (the logarithm of the hole’s amount of randomness) is proportional to the hole’s surface area. His formula for the entropy is engraved on Stephen’s memorial stone at Gonville and Caius College in Cambridge, where he worked. For the past forty-five years, Stephen and hundreds of other physicists have struggled to understand the precise nature of a black hole’s randomness. It is a question that keeps on generating new insights about the marriage of quantum theory with general relativity—that is, about the ill-understood laws of quantum gravity.

How would we express in terms of the statistical theory the marvellous faculty of a living organism, by which it delays the decay into thermodynamical equilibrium (death)? We said before: ‘It feeds upon negative entropy’, attracting, as it were, a stream of negative entropy upon itself, to compensate the entropy increase it produces by living and thus to maintain itself on a stationary and fairly low entropy level.

There are at least three different arrows of time. First, there is the thermodynamic arrow of time, the direction of time in which disorder or entropy increases. Then, there is the psychological arrow of time. This is the direction in which we feel time passes, the direction in which we remember the past but not the future. Finally, there is the cosmological arrow of time. This is the direction of time in which the universe is expanding rather than contracting.

The universal laws of nature including the thermodynamic principles of entropy govern the relationships between interconnected organisms. The notion of internal thermodynamic equilibrium assure us that the powerful energy reserves of one person will always rush in to fill the void or vacuum in another person. Thus I will always register your mystical presence in my quiescent mind, your hallow echo fills the hollow space of my very being. You are the external reflection of my innermost want, the personification of a world that lies outside my conscious reach, ethereal substance of the soul, the guiding hand that my unconscious mind instinctually gropes for in order to make me complete.

This was a golden age, in which we solved most of the major problems in black hole theory even before there was any observational evidence for black holes. In fact, we were so successful with the classical general theory of relativity that I was at a bit of a loose end in 1973 after the publication with George Ellis of our book The Large Scale Structure of Space–Time. My work with Penrose had shown that general relativity broke down at singularities, so the obvious next step would be to combine general relativity—the theory of the very large—with quantum theory—the theory of the very small. In particular, I wondered, can one have atoms in which the nucleus is a tiny primordial black hole, formed in the early universe? My investigations revealed a deep and previously unsuspected relationship between gravity and thermodynamics, the science of heat, and resolved a paradox that had been argued over for thirty years without much progress: how could the radiation left over from a shrinking black hole carry all of the information about what made the black hole? I discovered that information is not lost, but it is not returned in a useful way—like burning an encyclopedia but retaining the smoke and ashes. To answer this, I studied how quantum fields or particles would scatter off a black hole. I was expecting that part of an incident wave would be absorbed, and the remainder scattered. But to my great surprise I found there seemed to be emission from the black hole itself. At first, I thought this must be a mistake in my calculation. But what persuaded me that it was real was that the emission was exactly what was required to identify the area of the horizon with the entropy of a black hole. This entropy, a measure of the disorder of a system, is summed up in this simple formula which expresses the entropy in terms of the area of the horizon, and the three fundamental constants of nature, c, the speed of light, G, Newton’s constant of gravitation, and ħ, Planck’s constant. The emission of this thermal radiation from the black hole is now called Hawking radiation and I’m proud to have discovered it.

It will be noticed that the fundamental theorem proved above bears some remarkable resemblances to the second law of thermodynamics. Both are properties of populations, or aggregates, true irrespective of the nature of the units which compose them; both are statistical laws; each requires the constant increase of a measurable quantity, in the one case the entropy of a physical system and in the other the fitness, measured by m, of a biological population. As in the physical world we can conceive the theoretical systems in which dissipative forces are wholly absent, and in which the entropy consequently remains constant, so we can conceive, though we need not expect to find, biological populations in which the genetic variance is absolutely zero, and in which fitness does not increase. Professor Eddington has recently remarked that 'The law that entropy always increases—the second law of thermodynamics—holds, I think, the supreme position among the laws of nature'. It is not a little instructive that so similar a law should hold the supreme position among the biological sciences. While it is possible that both may ultimately be absorbed by some more general principle, for the present we should note that the laws as they stand present profound differences—-(1) The systems considered in thermodynamics are permanent; species on the contrary are liable to extinction, although biological improvement must be expected to occur up to the end of their existence. (2) Fitness, although measured by a uniform method, is qualitatively different for every different organism, whereas entropy, like temperature, is taken to have the same meaning for all physical systems. (3) Fitness may be increased or decreased by changes in the environment, without reacting quantitatively upon that environment. (4) Entropy changes are exceptional in the physical world in being irreversible, while irreversible evolutionary changes form no exception among biological phenomena. Finally, (5) entropy changes lead to a progressive disorganization of the physical world, at least from the human standpoint of the utilization of energy, while evolutionary changes are generally recognized as producing progressively higher organization in the organic world.

Loschmidt’s paradox Yet if, as is widely assumed, a thermodynamic system is composed of many fundamental particles and a thermodynamic process is composed of many fundamental interactions, why are not all thermodynamic processes reversible? Johann Loschmidt (1821–1895) asked this question in 1876. We still have no fully satisfactory answer. That many reversible fundamental processes do not necessarily compose a reversible thermodynamic process is known as Loschmidt’s paradox or the reversibility paradox. Our failure to resolve Loschmidt’s paradox suggests that the laws governing the interactions of fundamental particles do not form a complete picture of nature and need to be supplemented with additional physics equivalent to the second law of thermodynamics.

The universe seeks equilibriums; it prefers to disperse energy, disrupt organisation, and maximise chaos. Life is designed to combat these forces. We slow down reactions, concentrate matter, and organise chemicals into compartments; we sort laundry on Wednesdays. "It sometimes seems as if curbing entropy is our quixotic purpose in the universe," James Gleick wrote. We live in the loopholes of natural laws, seeking extensions, exceptions, and excuses. The laws of nature still mark the outer boundaries of permissibility – but life, in all its idiosyncratic, mad weirdness, flourishes by reading between the lines. Even the elephant cannot violate the law of thermodynamics – although its trunk, surely, must rank as one of the most peculiar means of moving matter using energy.

Three laws governing black hole changes were thus found, but it was soon noticed that something unusual was going on. If one merely replaced the words 'surface area' by 'entropy' and 'gravitational field' by 'temperature', then the laws of black hole changes became merely statements of the laws of thermodynamics. The rule that the horizon surface areas can never decrease in physical processes becomes the second law of thermodynamics that the entropy can never decrease; the constancy of the gravitational field around the horizon is the so-called zeroth law of thermodynamics that the temperature must be the same everywhere in a state of thermal equilibrium. The rule linking allowed changes in the defining quantities of the black hole just becomes the first law of thermodynamics, which is more commonly known as the conservation of energy.

Dear Dr. Schrodinger, In What Is Life? you say that in all of nature only man hesitates to cause pain. As destruction is the master-method by which evolution produces new types, the reluctance to cause pain may express a human will to obstruct natural law. Christianity and its parent religion, a few short millennia, with frightful reverses … The train had stopped, the door was already shutting when Herzog roused himself and squeezed through. He caught a strap. The express flew uptown. It emptied and refilled at Times Square, but he did not sit down. It was too hard to fight your way out again from a seat. Now, where were we? In your remarks on entropy … How the organism maintains itself against death—in your words, against thermodynamic equilibrium … Being an unstable organization of matter, the body threatens to rush away from us. It leaves. It is real. It! Not we! Not I! This organism, while it has the power to hold its own form and suck what it needs from its environment, attracting a negative stream of entropy, the being of other things which it uses, returning the residue to the world in simpler form. Dung. Nitrogenous wastes. Ammonia. But reluctance to cause pain coupled with the necessity to devour … a peculiar human trick is the result, which consists in admitting and denying evils at the same time. To have a human life, and also an inhuman life. In fact, to have everything, to combine all elements with immense ingenuity and greed. To bite, to swallow. At the same time to pity your food. To have sentiment. At the same time to behave brutally. It has been suggested (and why not!) that reluctance to cause pain is actually an extreme form, a delicious form of sensuality, and that we increase the luxuries of pain by the injection of a moral pathos. Thus working both sides of the street.

The success of discovering a thermodynamic principle associated with the gravitational field of a black hole has led to a speculation that there might exist some thermodynamic aspect to the gravitational field of the whole Universe. The simplest assumption to make, following the black hole case, would be that it is the surface area of the boundary of the visible universe. As the Universe expands, this boundary increases and the information available to us about the Universe increases. But this does not seem promising. It would appear to tell us only that the Universe must continue expanding forever, for if it were ever to begin to recollapse the entropy would fall and violate the second law of thermodynamics. The universe can expand in all sorts of different ways and still have the increasing area. What we really want is some principle that tells us why the organization of the Universe changes in the way that it does: why it now expands so uniformally and isotropically.

Then, in 1974, Stephen Hawking made a dramatic discovery. He decided to examine for the forst time what occurs when one applies the notions of quantum mechanics to black holes. What he discovered was that black holes are not completely black. When quantum mechanics is included in the discussion of their properties, it is possible for energy to escape from the surface of the black hole and be recorded by an outside observer. The variation in the strength of the gravitational field near the horizon surface is strong enough to create pairs of particles and antiparticles spontaneously. The energy necessary to do this is extracted from the source of the gravitational field, and as the process continues, so the mass of the black hole ebbs away. If one waits long enough, it should disappear completely unless some unknown physics intervenes in the final stages. Such a discovery was exciting enough, but its most satisfying aspect was the fact that the particles radiated away from the surface of the black hole were found to have all the characteristics of heat radiation, with a temperature precisely equal to the gravitational field at the horizon and an entropy given by its surface area, just as the analogy had suggested. Black holes did possess a non-zero temperature and obeyed the laws of thermodynamics, but only when quantum mechanics was included in their description.

Perplexed about entropy? You are not alone. Josiah Willard Gibbs (1839–1903) understood this confusion all too well, almost 150 years ago, “ . . . a method involving the notion of entropy, the very existence of which depends upon the second law of thermodynamics, will doubtless seem to many far-fetched, and may repel beginners as obscure and difficult of comprehension. This inconvenience is perhaps more than counter-balanced by the advantages of a method which makes the second law of thermodynamics so prominent, and gives it so clear and elementary an expression. . . . (1).” Gibbs profoundly altered our understanding of chemistry with his insights. At a time when it was mostly a philosophical concept, Gibbs went straight for application and made entropy relevant. Rapid advancements and heralded achievements in the chemical sciences ensued. Enthalpy (H) is a measure of the internal energy of a system, but this energy has an availability issue; some of that energy is useful, some is not. Enthalpy also provides no information about the spontaneity of energy exchange. Entropy (S) does indicate the probability of energy exchange (i.e., spontaneous, −∆S, or nonspontaneous, +∆S), but it is not useful energy and so it provides little information on the quantity of energy that is available to perform work. Energy that is available to perform useful work is known as Gibbs energy, symbolized as G. Gibbs energy has also been termed free energy. Yet energy is anything but “free” and so that term will not be used here

This, in turn, has given us a “unified theory of aging” that brings the various strands of research into a single, coherent tapestry. Scientists now know what aging is. It is the accumulation of errors at the genetic and cellular level. These errors can build up in various ways. For example, metabolism creates free radicals and oxidation, which damage the delicate molecular machinery of our cells, causing them to age; errors can build up in the form of “junk” molecular debris accumulating inside and outside the cells. The buildup of these genetic errors is a by-product of the second law of thermodynamics: total entropy (that is, chaos) always increases. This is why rusting, rotting, decaying, etc., are universal features of life. The second law is inescapable. Everything, from the flowers in the field to our bodies and even the universe itself, is doomed to wither and die. But there is a small but important loophole in the second law that states total entropy always increases. This means that you can actually reduce entropy in one place and reverse aging, as long as you increase entropy somewhere else. So it’s possible to get younger, at the expense of wreaking havoc elsewhere. (This was alluded to in Oscar Wilde’s famous novel The Picture of Dorian Gray. Mr. Gray was mysteriously eternally young. But his secret was the painting of himself that aged horribly. So the total amount of aging still increased.) The principle of entropy can also be seen by looking behind a refrigerator. Inside the refrigerator, entropy decreases as the temperature drops. But to lower the entropy, you have to have a motor, which increases the heat generated behind the refrigerator, increasing the entropy outside the machine. That is why refrigerators are always hot in the back. As Nobel laureate Richard Feynman once said, “There is nothing in biology yet found that indicates the inevitability of death. This suggests to me that it is not at all inevitable and that it is only a matter of time before biologists discover what it is that is causing us the trouble and that this terrible universal disease or temporariness of the human’s body will be cured.

What's in a name? In the case of Shannon's measure the naming was not accidental. In 1961 one of us (Tribus) asked Shannon what he had thought about when he had finally confirmed his famous measure. Shannon replied: “My greatest concern was what to call it. I thought of calling it ‘information,’ but the word was overly used, so I decided to call it ‘uncertainty.’ When I discussed it with John von Neumann, he had a better idea. Von Neumann told me, ‘You should call it entropy, for two reasons. In the first place your uncertainty function has been used in statistical mechanics under that name. In the second place, and more important, no one knows what entropy really is, so in a debate you will always have the advantage.

In the over-a-hundred-years of the history of the Second Law, people were puzzled by the apparent conflict between the reversibility of the equations of motion, and the irreversibility associated with the Second Law. Boltzmann was the first to attempt to derive the Second Law from the dynamics of the particles. In my opinion, this, as well as other attempts, will inevitably fail in principle. First, because it is impractical to solve the equations of motion for some 1023 particles. Second, because one cannot get probabilities from the deterministic equations of motion. Third, and perhaps most important, because of the indistinguishability of the particles. It is well known that whenever we write the equation of motions of any number of particles, we must first label the particles. This is true for classical as well as for the quantum mechanical equations of motion. However, the very act of labeling the particles violates the principle of ID of the particles.