A generic mockup of Maxwell's demon (1871 version), shown in green, who operates a trapdoor between two compartments such as to let the fast moving particles pass from compartment A to B, thus producing a temperature difference without the expenditure of work, thus violating the second law. |
“To pick a hole–say in the 2nd law of Ωcs, that if two things are in contact the hotter cannot take heat from the colder without external agency.Letter to Strutt | 1870
Now let A & B be two vessels divided by a diaphragm and let them contain elastic molecules in a state of agitation which strike each other and the sides. Let the number of particles be equal in A & B but let those in A have equal velocities, if oblique collisions occur between them their velocities will become unequal & I have shown that there will be velocities of all magnitudes in A and the same in B only the sum of the squares of the velocities is greater in A than in B.
When a molecule is reflected from the fixed diaphragm CD no work is lost or gained.
If the molecule instead of being reflected were allowed to go through a hole in CD no work would be lost or gained, only its energy would be transferred from the one vessel to the other.
Now conceive a finite being who knows the paths and velocities of all the molecules by simple inspection but who can do no work, except to open and close a hole in the diaphragm, by means of a slide without mass.
Let him [demon] first observe the molecules [in compartment] A and when he sees one coming the square of whose velocity is less than the mean square velocity of the molecules in B let him open the hole and let it go into B. Next let him watch for a molecule of [compartment] B, the square of whose velocity is greater than the mean square velocity in A, and when it comes to the hole let him draw the slide and let it go into A, keeping the slide shut for all other molecules.”
“For if there is any truth in the dynamical theory of gases the different molecules in a gas at uniform temperature are moving with very different velocities. Put such a gas into a vessel with two compartments [A and B] and make a small hole in the wall about the right size to let one molecule through. Provide a lid or stopper for this hole and appoint a doorkeeper, very intelligent and exceedingly quick, with microscopic eyes but still an essentially finite being.
Whenever he sees a molecule of great velocity coming against the door from A into B he is to let it through, but if the molecule happens to be going slow he is to keep the door shut. He is also to let slow molecules pass from B to A but not fast ones ... In this way the temperature of B may be raised and that of A lowered without any expenditure of work, but only by the intelligent action of a mere guiding agent (like a pointsman on a railway with perfectly acting switches who should send the express along one line and the goods along another).
I do not see why even intelligence might not be dispensed with and the thing be made self-acting.
Moral The 2nd law of Thermodynamics has the same degree of truth as the statement that if you throw a tumblerful of water into the sea you cannot get the same tumblerful of water out again.”
“If we conceive of a being whose faculties are so sharpened that he can follow every molecule in its course, such a being, whose attributes are as essentially finite as our own, would be able to do what is impossible to us. For we have seen that molecules in a vessel full of air at uniform temperature are moving with velocities by no means uniform, though the mean velocity of any great number of them, arbitrarily selected, is almost exactly uniform. Now let us suppose that such a vessel is divided into two portions, A and B, by a division in which there is a small hole, and that a being, who can see the individual molecules, opens and closes this hole, so as to allow only the swifter molecules to pass from A to B, and only the slower molecules to pass from B to A. He will thus, without expenditure of work, raise the temperature of B and lower that of A, in contradiction to the second law of thermodynamics.”
Left: A 2009 video overview of Maxwell's demon by the Khan Academy. Right: a 2009 "Laplace's demon meets Maxwell's demon" dialog between James Maxwell's 1867 version of a "being" talking to Pierre Laplace's version of a "being" (Laplace's demon). |
See main: Scientific demonThe term demon, to note, was never used by Maxwell. The actual term “demon” was first introduced by British physicist William Thomson in his 1874 article “Kinetic Theory of the Dissipation of Energy”, who states in a footnote: [10]
“The definition of a ‘demon’, according to the use of this word by Maxwell, is an intelligent being endowed with free will, and fine enough tactile and perceptive organization to give him the faculty of observing and influencing individual molecules of matter.”
Concerning Demons1. Who gave them this name? Thomson.
2. What were they by nature? Very small BUT lively beings incapable of doing work but able to open and shut valves which move without friction or inertia.
3. What was their chief end? To show that the 2nd Law of Thermodynamics has only a statistical certainty.
4. Is the production of an inequality of temperature their only occupation? No, for less intelligent demons can produce a difference while stopping all those going the other way. This reduces the demon to a valve. As such a value him. Call him no more a demon but a valve like that of the hydraulic ram, suppose.
A 2008 rendition of the Szilard demon (or Szilard’s heat engine), according to which a chamber of volume V contains a one-molecule gas, which can be found in either the right or the left part of the box. (a) Initially, the position of the molecule is unknown. (b) Maxwell’s demon inserts a partition at the center and observes the molecule to determine whether it is in the right or the left hand side of the partition. He records this information in his memory. (c) Depending on the outcome of the measurement (which is recorded in his memory), the demon connects a load to the partition. If the molecule is in the right part as shown in the figure, he connects the load to the right hand side of the partition. (d) The isothermal expansion of the gas does work upon the load, whose amount is kT ln 2. [15] | A 2010 Escher house, built of polystyrene beads, with a perpetual motion water wheel being run by a Maxwell’s demon. [12] | Hungarian-American physicist Leó Szilárd's 1929 interpretation of Maxwell's demon as an entity (Szilard's demon) that would need a light source to measure the position of each particle. |
A Russian-drawing of a Maxwell demon. [11] | Harvey Leff and Andrew Rex's 2002 depiction of James Maxwell and his demon. [6] | A Maxwell's demon comic. |