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Topic: Thermal equilibrium

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Thermodynamics

Temperature

Boltzmann factor

Heat

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	Thermal equilibrium (Site not responding. Last check: 2007-10-08)
		Thermal equilibrium is the subject of the Zeroth Law of Thermodynamics.
		The "zeroth law" states that if two systems are at the same time in thermal equilibrium with a third system, they are in thermal equilibrium with each other.
		If A and C are in thermal equilibrium with B, then A is in thermal equilibrium with B. Practically this means that all three are at the same temperature, and it forms the basis for comparison of temperatures.
	hyperphysics.phy-astr.gsu.edu /hbase/thermo/thereq.html (148 words)

	Thermodynamic equilibrium - Wikipedia, the free encyclopedia
		In thermodynamics, a thermodynamic system is in thermal equilibrium or thermodynamic equilibrium when its macroscopic observables have ceased to change with time -- for example, an ideal gas whose distribution function has stabilised to a Maxwell-Boltzmann distribution.
		The process that leads to a thermodynamic equilibrium is called thermalisation.
		A thermally equilibrated radiation field would have a fl body distribution at the same temperature as the massive particles.
	en.wikipedia.org /wiki/Thermodynamic_equilibrium (218 words)

	Zeroth law of thermodynamics - Wikipedia, the free encyclopedia
		The zeroth law of thermodynamics is the law which states that thermal equilibrium is transitive.
		Two systems are said to be in thermal equilibrium when 1) both of the systems are in a state of equilibrium, and 2) they remain so when they are brought into contact, where 'contact' is meant to imply the possibility of exchanging heat, but not work or particles.
		The zeroth law states that this relation is transitive, which means that whenever system A is in thermal equilibrium with B, and B is in thermal equilibrium with system C, then A and C are also in thermal equilibrium.
	en.wikipedia.org /wiki/Status_of_the_zeroth_law_of_thermodynamics (573 words)

	Virtual Naval Hospital: United States Naval Flight Surgeon Manual: Third Edition 1991: Chapter 20: Thermal Stresses and ... (Site not responding. Last check: 2007-10-08)
		Thermal equilibrium is preserved by the body's ability as a whole to alter its rate of heat production and heat loss.
		Another expression of thermal equilibrium has been designated as the "comfort zone." The comfort zone may be grossly defined as the set of environmental conditions which causes neither sweating nor shivering.
		Therefore, thermal regulation is closely related to the regulation of peripheral circulation through the cutaneous vascular bed, particularly of the extremities, since they represent about 65 percent of the total body surface.
	www.vnh.org /FSManual/20/02ThermalEquilibrium.html (2689 words)

	Heat - Wikipedia, the free encyclopedia
		Heat is to thermal energy as work is to mechanical energy.
		Heat flows between regions that are not in thermal equilibrium; in particular, it flows from areas of high temperature to areas of low temperature.
		Thermal radiation is a direct result of the movements of atoms and molecules in a material.
	en.wikipedia.org /wiki/Heat (1619 words)

	thermo
		This definition implies that in thermal equilibrium no energy (heat, work or particle energy) is being exchanged between the parts within the system nor between the system and the environment.
		Thermal equilibrium is obtained by isolating a system from its environment, removing any internal sources of energy, and waiting for a long enough time until the system does not change any more.
		The concept of thermal equilibrium is of interest since a various thermodynamic results assume that the system under consideration is in thermal equilibrium.
	ece-www.colorado.edu /~bart/ecen5355/newbook/chapter1/thermo.htm (901 words)

	AllRefer.com - equilibrium (Physics) - Encyclopedia (Site not responding. Last check: 2007-10-08)
		Some bodies, such as a ball or a cone lying on its side, do not return to their original position of equilibrium when pushed, assuming instead a new position of equilibrium; these are said to be in neutral equilibrium.
		In thermodynamics, two bodies placed in contact with each other are said to be in thermal equilibrium when, after a sufficient length of time, their temperatures are equal.
		Chemical equilibrium refers to reversible chemical reactions in which the reactions involved are occurring in opposite directions at equal rates, so that no net change is observed.
	reference.allrefer.com /encyclopedia/E/equilbrm.html (391 words)

	0th Law of Thermodynamics Summary
		A system in thermal equilibrium is characterized by a set of macroscopic quantities that depend on the system in question and characterize its ``state'' (such as pressure, volume, density) that do not change in time.
		Two systems are said to be in (mutual) thermal equilibrium if, when they are placed in ``thermal contact'' (basically, contact that permits the exchange of energy between them), their state variables do not change.
		A thermometer is a portable device whose thermal state is related linearly to some simple property, for example its density or pressure.
	www.phy.duke.edu /~rgb/Class/phy51/phy51/node57.html (321 words)

	The world of thermodynamics \|\| Temperature (Site not responding. Last check: 2007-10-08)
		When the thermal changes have stopped, we say that the two objects (physicists define them more rigorously as systems) are in thermal equilibrium.
		When a calibrated thermometer is put in thermal contact with a system and reaches thermal equilibrium, we then have a quantitative measure of the temperature of the system.
		Mercury's thermal expansion is large and fairly uniform, it does not adhere to the glass, and it remains a liquid over a wide range of temperatures.
	td-guide.net /temp (2026 words)

	Semiconductor thermodynamics ...
		This definition implies that in thermal equilibrium no energy (heat, work or particle energy) is exchanged between the parts within the system and between the system and the environment.
		The concept of thermal equilibrium is of interest since a variety of thermodynamic results assume that the system under consideration is in thermal equilibrium.
		At constant temperature and in thermal equilibrium there is no current as the diffusion current is balanced by the drift current associated with the built-in electric field caused by the graded doping density.
	ece-www.colorado.edu /~bart/book/book/chapter2/ch2_11.htm (2060 words)

	TEMPERATURE
		If the thermometer is also in thermal equilibrium with a second body than the two bodies are also in thermal equilibrium.
		The temperature is a property of a body, and two bodies are found to be in thermal equilibrium if their temperatures are equal.
		The bulb is filled with a gas and in thermal contact with the body whose temperature is to be measured.
	teacher.nsrl.rochester.edu /phy121/LectureNotes/Chapter19/Chapter19.html (1112 words)

	Thermodynamic Equilibrium
		During the process of reaching thermal equilibrium, heat, which is a form of energy, is transferred between the objects.
		The details of the process of reaching thermal equilibrium are described in the first and second laws of thermodynamics.
		If we then bring the thermometer into thermal equilibrium with any other system, such as the bottom of your tongue, we can determine the temperature of the other system by noting the change in the thermal property.
	www.grc.nasa.gov /WWW/K-12/airplane/thermo0.html (505 words)

	Thermal equilibrium and the definition of temperature
		An example of a thermodynamic system which is not in thermal equilibrium is a gas which occupies one half of the volume V which is available to it.
		Another example of a system which is not in thermal equilibrium is a cup of hot coffee on the breakfast table.
		If there were two cups of coffee on the table and they were both left to evolve into thermal equilibrium with the same surroundings then clearly the two cups of coffee would be in thermal equilibrium with one another as well.
	www.pha.jhu.edu /~broholm/l33/node2.html (672 words)

	Physics 128 Lecture: Temperature
		Thermal energy is that portion of the internal energy that changes when the temperature changes or the phase of the substance changes.
		Two objects are said to be in thermal equilibrium with each other if, when placed in thermal contact, they do not exchange heat.
		This effect is used to measure temperature by measuring the pressure of the gas when it is placed in thermal contact with the substance whose temperature is being measured.
	www.cord.edu /dept/physics/p128/lecture98_36.html (938 words)

	Baryon Number Generation in the Early Universe (1980)
		The expansion of the universe may therefore prevent the achievement of complete thermal equilibrium and allow a baryon excess to be generated: the relaxation time necessary to destroy the excess often increases faster than the age of the universe (see subsect.
		In keeping with the simple big bang cosmology we shall assume (6) that all species of particles in the universe were initially in thermal equilibrium and spread homogeneously (the gravitational field opposing expansion must, however, remain far from equilibrium).
		When massive particles are present, therefore, the expansion of the universe is no longer reversible; deviations from thermal equilibrium may occur, and in their relaxation, the entropy of the universe may increase slightly (7).
	www.stephenwolfram.com /publications/articles/cosmology/80-baryon/3/text.html (4824 words)

	Air Temperature
		The second principle is the definition of thermodynamic equilibrium between two objects.
		Two objects are in thermodynamic equilibrium when they have the same temperature.
		When the thermometer is brought into contact with another object, it quickly establishes a thermodynamic equilibrium.
	www.grc.nasa.gov /WWW/K-12/airplane/temptr.html (1082 words)

	[No title]
		If two thermodynamic systems such as gases are put in thermal contact, after a time no further changes in the pressures and volumes will occur, each gas being in an equilibrium state.
		But if a return to thermal equilibrium produces no work, in engineering terms, this return to thermal equilibrium is a loss.
		Theorem: The condition for thermodynamic equilibrium in a system involving constant temperature and pressure is that G be a miniumum.
	www.maths.tcd.ie /~tkachev/thermodynamics.doc (5314 words)

	About Temperature
		Temperature is a measure of the energy of thermal motion and, at a temperature of zero, the energy reaches a minimum (quantum mechanically, the zero-point motion remains at 0 K).
		Thermal energy is carried by the molecules in the form of their motions and some of it, through molecular collisions, is transferred to molecules of a second object when put in contact with it.
		The sun and stars emit thermal radiation covering all wavelengths; other objects in the sky, like the great clouds of gas in the Milky Way, also emit thermal radiation but are much cooler.
	eo.ucar.edu /skymath/tmp2.html (4839 words)

	Thermal equilibrium (Site not responding. Last check: 2007-10-08)
		We can describe the gas as being in thermal equilibrium with a kinetic temperature T if the energy transfer between the particles in the gas is dominated by elastic scattering.
		The main process for inelastic scattering is collisional excitation of atomic or molecular levels and subsequent photon emission, thereby radiating away the energy pumped into the excitation.
		Although the last value is much higher than the previous ones, it still allows us to treat the gas as being in thermal equilibrium.
	www.mpia-hd.mpg.de /THEORY/preprints/kessel/1999/dissertation/node22.html (253 words)

	Stroud Water Research Center: Thermal Equilibrium Concept
		In 1972 Bern Sweeney and Robin Vannote abandoned the idea of thermal limits and hypothesized that temperature changes altered the normal developmental and growth characteristics of a species, which in turn reduced its adult size and reproductive activity.
		Their Thermal Equilibrium Concept proposed two hypotheses: (1) that for many cold-blooded aquatic animals, especially insects, a direct correlation exists between water temperature and reproductive potential; and (2) that changing temperature cycles affect the geographic distribution of a species by gradually lowering its reproductive vitality.
		In a world increasingly intent on protecting its water, the Thermal Equilibrium Model provided a quantifiable way to measure the impact of pollution on stream life.
	www.stroudcenter.org /research/thermal.htm (249 words)

	Amazon.com: Books: Equilibrium Thermodynamics (Site not responding. Last check: 2007-10-08)
		The terms of reference for Equilibrium Thermodynamics are primarily those of the undergraduate physicist; but it is also suitable for courses in chemistry, engineering, materials science etc. The subject is usually taught in the first or second year of an undergraduate course, but the book takes the student to degree standard (and beyond).
		The zeroth law of thermodynamics is concerned with the properties of systems in thermal equilibrium, and the concept of temperature follows directly from it.
		Equilibrium thermodynamics (or thermostatics, as some call it) has manifold applications-in physics, chemistry, biology, geology, engineering, etc. The author is a physicist, and selects his material accordingly.
	www.amazon.com /exec/obidos/tg/detail/-/0521274567?v=glance (944 words)

	Technical Note 50: Guarded Heat Flow Meter Method (Site not responding. Last check: 2007-10-08)
		In this equipment, a small sample of the material to be tested is held under a compressive load between two polished metal surfaces, each controlled at a different temperature.
		As heat flows from the upper surface through the sample to the lower surface, an axial temperature gradient is established in the stack.
		By measuring the temperature difference across the sample along with the output from the heat flux transducer, thermal conductivity of the sample can be determined when the thickness is known.
	www.anter.com /TN50.htm (435 words)

	Temperature and Heat -- Thermal Equilibrium (Site not responding. Last check: 2007-10-08)
		The small motions that represent the thermal energy in the hot object give rise to small motions in the cooler one, which is how energy is transferred.
		In the second activity, we saw that the cups of hot and cold water were exchanging energy with the air in the room, and eventually everything will be at the same temperature -- the temperature of the room, whatever that may be.
		If objects in contact could stay at different temperatures (so that stone would always be colder than fur), a thermometer might decide not to become the temperature of the object it is touching, and we would have no way to measure or even define the temperature of anything.
	www.pa.uky.edu /~sciworks/heat/preview/theq3.htm (626 words)

	Critical Fluid Thermal Equilibrium Experiment (Site not responding. Last check: 2007-10-08)
		Another key fact about near-critical fluids is that the time it takes for a sample to reach thermal equilibrium approaches infinity as the critical point is approached.
		Because temperature is such a key parameter in critical-point studies, the CPF was designed to provide thermal control of the test fluid with an accuracy of one thousandth of a degree (0.001 degree C).
		In order for researchers to plan the timelines for these experiments, it is necessary to determine how quickly their test samples will reach thermal equilibrium after temperature step changes near the critical point.
	zeta.lerc.nasa.gov /expr2/cft.htm (987 words)

	Chatper 15 Sections 1-6 (Site not responding. Last check: 2007-10-08)
		Two systems are said to be in thermal equilibrium if there is no heat flow between the two when brought in thermal contact.
		There is a significant concept here: temperature is the indicator of thermal equilibrium, in that there is no heat flow between two systems in thermal contact and at the same temperature.
		It establishes temperature as the indicator of thermal equilibrium.
	www.physics.niu.edu /~willis/phys250/chapter_15_day_1.html (2751 words)

	Ch4.nb
		Because we are not at thermal equilibrium, the partition function is not useful.
		Now, we are asked to compare the kinetic pressure with the thermal radiation pressure.
		The pressure of an ideal gas at that temperature is given by Eq.
	www.novajo.ca /ch4.html (196 words)

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