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Topic: Nonequilibrium thermodynamics

	thermodynamics - Britannica Concise
		Unlike classical thermodynamics, in which it is assumed that the initial and final states of the substance being studied are states of equilibrium (i.e., there is no tendency for a spontaneous change to occur), nonequilibrium thermodynamics investigates systems that are not at equilibrium.
		thermodynamic equilibrium - condition or state of a thermodynamic system, the properties of which do not change with time and that can be changed to another condition only at the expense of effects on other systems.
		thermodynamics - Thermodynamics is the study of the various properties of macroscopic systems that are in equilibrium and, particularly, the relations between these various properties.
	concise.britannica.com /ebc/article-9108582 (850 words)

	Schneider and Kay, 1995
		Thermodynamics, as refined by Boltzmann, viewed nature as decaying toward a certain death of random disorder in accordance with the second law of thermodynamics.
		We expand thermodynamics into the causality of the living process and show that the second law underlies processes of self-organization and determines the direction of many of the processes observed in the development of living systems.
		In 1908 thermodynamics was moved a step forward by the work of Carathéodory (Kestin, 1976) when he developed a proof that showed that the law of "entropy increase" is not the general statement of the second law.
	www.redfish.com /research/SchneiderKay1995_OrderFromDisorder.htm (4308 words)

	Nonequilibrium thermodynamics (from thermodynamics) -- Encyclopædia Britannica (Site not responding. Last check: 2007-10-20)
		Non-equilibrium Thermodynamics (1962, reissued 1984), is the most complete exposition of the nonlinear theory and includes a historical introduction that focuses primarily on contributions from the European school.
		Statistical Thermodynamics of Nonequilibrium Processes (1987), written at the advanced undergraduate and graduate level, provides an outline of the nonlinear theory and details applications to molecular fluctuations in physical, chemical, and biological systems.
		Nonequilibrium Thermodynamics and Its Statistical Foundations (1981), describes a range of interesting linear and nonlinear phenomena and deals with mechanical issues underlying the recurrence theorem, linear response theory, and the Boltzmann equation and includes a very complete bibliography of early historical references.
	www.britannica.com /eb/article-52914 (1225 words)

	Note on thermodynamic consistency of the integral pom-pom model
		A two-phase model is considered which resolves both the thermodynamics of the two phases and of the interface as well as the morphology in terms of Minkowski functionals as scalar morphological variables, assuming equal velocities of the phases.
		Three different approaches to the relativistic thermodynamics of imperfect fluids are compared: the second-order causal theory of Israel and Stewart (IS), the phenomenological extension of the IS theory proposed by Maartens and Méndez (MM), and the recently developed GENERIC formalism of Grmela and Öttinger.
		The thermodynamics and mechanics of nonisothermal polymeric fluids are examined within the auspices of a new methodology wherein the laws of physics and principles of mechanics which are applicable to these thermodynamic systems are imbedded in a definite mathematical structure of a general, abstract equation.
	www.ar.ethz.ch /IFP/ASGARD/asgard_pj1.html (4299 words)

	Nonequilibrium thermodynamics (from thermodynamics) -- Britannica Student Encyclopedia
		As successful as the phenomenological theory of nonequilibrium thermodynamics is, it applies only to systems at or close to equilibrium.
		For a thermodynamic equilibrium system with given energy, the entropy is greater than that of any other state with the same energy.
		A central consideration of thermodynamics is that any physical system will spontaneously approach a stable condition, known as equilibrium, that can be described...
	www.britannica.com /ebi/article-52907 (813 words)

	Applied Mathematics: Faculty
		Nonequilibrium steady state of a nanometric biochemical system: determining the thermodynamic driving force from single enzyme turnover time traces.
		Fluorescence correlation spectroscopy with high-order and dual-color correlation to probe nonequilibrium steady-states.
		Thermodynamic and kinetic analysis of sensitivity amplification in biological signal transduction.
	www.amath.washington.edu /people/faculty/qian/publications.html (1922 words)

	Extended Thermodynamics Website. Home (Site not responding. Last check: 2007-10-20)
		It is devoted to a short presentation of extended thermodynamics, a nonequilibrium thermodynamic theory going beyond the classical irreversible thermodynamics, which aims to explore both generalized transport equations including memory effects and nonlocal effects and the corresponding generalizations of the entropy and entropy flux beyond the local-equilibrium approximation.
		Both extensions must be studied in parrallel, in order to have a thermodynamically consistent framework, compatible with the second law, which is formulated in terms of the generalized entropy rather than in terms of the local-equilibrium entropy.
		Extended thermodynamic may be built by generalizing the formalism of classical irreversible thermodynamics or of rational thermodynamics; thus, extended thermodynamics has several posible presentations, which are known as extended irreversible thermodynamics or as rational extended thermodynamics, respectively.
	telemaco.uab.es /eit/home/principal.php (243 words)

	Chemical thermodynamics
		Although processes occurring in living organisms and cells obey the laws of thermodynamics, and therefore spontaneously approach equilibrium, such systems are not at equilibrium.
		The concept of a nonequilibrium steady state is an important one, and in order understand its implications, we must build on our knowledge of thermodynamics.
		The thermodynamic approach we have been taking, in discussing systems and processes, is in some ways most suited to description of equilibrium states.
	guweb2.gonzaga.edu /faculty/cronk/chemistry/thermo.cfm?topic=biochem (239 words)

	ScienceWeek
		In general, conventional thermodynamics is the systematic study of the relationship between heat, work, temperature, and energy, and the relations of these variables to the general behavior of systems at equilibrium.
		Unlike classical thermodynamics, in which it is assumed that the system is at equilibrium, nonequilibrium thermodynamics investigates systems that are not at equilibrium.
		There has been much progress in nonequilibrium thermodynamics, particularly for systems close to equilibrium, but in general our understanding of nonequilibrium phenomena is not comparable to our understanding of equilibrium phenomena.
	scienceweek.com /2003/sc031205-5.htm (1296 words)

	On Thermodynamics, Entropy and Evolution of Biological Systems: What is Life from a Physical Chemist's Viewpoint
		For example, the available data on the thermodynamic stability of supramolecular biological structures and variations in the chemical composition of living organisms have allowed a macrothermodynamic model of biological evolution to be developed experimentally.
		The thermodynamically open system of adsorption (absorption) through which the flow of substances of constant composition occurs, which are subject to phase or chemical transformations in this system, is a simple analog for the model presented [5].
		According to the thermodynamic theory and experimental data, the specific value of the Gibbs function of the formation of supramolecular structures of organisms during ontogenesis and phylogenesis tends to a minimum.
	www.endeav.org /evolut/entropy (4130 words)

	NONEQUILIBRIUM THERMODYNAMICS
		We are pursuing a global thermodynamic and stochastic theory of open chemical systems far from equilibrium.
		0 is a necessary and sufficient thermodynamic criterion for a stable steady state, in terms of the excess work of displacement of the intermediates, and
		Thermodynamic and Stochastic Theory of Nonequilibrium Systems: A Lagrangian Approach to Fluctuations and Relation to Excess Work, A. Suárez, J. Ross, B. Peng, K. Hunt, and P. Hunt, J.
	www.cem.msu.edu /~gradoff/brochfold/huntp.htm (406 words)

	JCE 1999 (76) 1491 [Nov] Modern Thermodynamics: From Heat Engines to Dissipative Structures (by Dilip Kodepudi and Ilya ... (Site not responding. Last check: 2007-10-20)
		The essential role of fluctuations in determining the properties of equilibrium and nonequilibrium systems was first elucidated by Einstein at the turn of the century.
		Since I first learned nonequilibrium thermodynamics from Prigogine's earlier book, Introduction to the Thermodynamics of Irreversible Processes (Interscience, 1961), I found the treatment in the second part of the book to be clear and logical.
		I hope that the appearance of this accessible treatment will stimulate faculty to rethink their teaching of thermodynamics and present it as a general and powerful way to understand both equilibrium and nonequilibrium systems.
	jchemed.chem.wisc.edu /Journal/Issues/1999/Nov/abs1491.html (686 words)

	PHYSICS: SMALL-SYSTEM NONEQUILIBRIUM THERMODYNAMICS
		Ultimately, the knowledge physicists are gaining with their new experimental and theoretical tools may serve as the basis for a theory of the nonequilibrium thermodynamics of small systems.
		Equilibrium statistical mechanics is concerned with certain states of matter that appear macroscopically at rest, in equilibrium, and that are microscopically a superposition of states (i), with probabilities p(subi).
		Statistical mechanics (statistical physics) is a quantitative approach to the average behavior of a system containing many particles, the approach derived from first principles and certain simplifying assumptions concerning the nature and interactions of the particles in the system.
	scienceweek.com /2005/sw050729-1.htm (1628 words)

	Amazon.com: Statistical Thermodynamics of Nonequilibrium Processes: Books: Joel Keizer (Site not responding. Last check: 2007-10-20)
		This book provides an introduction to the modern statistical theory of nonequilibrium thermodynamics, based on a synthesis of the statistical thermodynamics of Onsager and the kinetic molecular theory of Boltzmann.
		Using the author's canonical representation for the rates of elementary processes, the book develops the statistical thermodynamics of molecular process in a form that is useful for systems close to or far from equilibrium.
		Nonequilibrium steady states are presented in the chapters 7 and 8; in 9 appears the relations between the three levels of description of this statistical theory (classical, continuum and molecular level).
	www.amazon.com /exec/obidos/tg/detail/-/0387965017?v=glance (685 words)

	[No title]
		\* \kern3mm\0($\bullet$) In trying to study nonequilibrium cases a conceptual difficulty must be met: if a system is subject to external non conservative forces then the thermostatting forces will have a non zero divergence and volume in phase space will not be preserved.
		That seems effectively to reduce the cases in which the notion would be useful to the ones in which an initial equilibrium state identified by some parameters (like $U,V$) evolves towards a final one identified by other values of the parameters.
		The latter is the condition under which equilibrium Thermodynamics is set up: so that if one studies only transformations from equilibrium states to other equilibrium states it is possible to define not only the creation of entropy but the entropy itself (up to an additive constant).
	www.ma.utexas.edu /mp_arc/papers/03-11 (2178 words)

	[No title]
		The concept of entropy in nonequilibrium macroscopic systems is investigated in the light of an extended equation of motion for the density matrix obtained in a previous study.
		Although any complete theory of nonequilibrium must be a continuum field theory, we shall omit spatial dependence explicitly here in the interest of clarity and return to address that point later.
		Much, though not all, of the work on macroscopic nonequilibrium phenomena has of necessity centered on small departures from equilibrium, or the linear approximation, so it is of some value to outline that reduction of the present theory and discuss briefly some applications.
	w3.uwyo.edu /~wtg/entropy_uni.html (7487 words)

	COSNet - ARC Complex Open Systems Research Network (Site not responding. Last check: 2007-10-20)
		Most systems in nature are in nonequilibrium states, and over the years considerable effort has been devoted to the development of nonequilibrium statistical mechanics and nonequilibrium thermodynamics.
		Questions related to the statistical thermodynamics of irreversibility and self-organization are important in a wide range of new and cross-disciplinary fields, such as evolutionary dynamics, artificial life, self assembly, phase separation, and turbulence.
		The fact that the thermodynamic and information approaches work in different fundamental units (ergs vs. bits) is not a reason to separate them, but a pole star to guide research that may ultimately bring them together.'
	www.complexsystems.net.au /index.php?page=pages&subpage=29 (878 words)

	[No title] (Site not responding. Last check: 2007-10-20)
		A general geometrical framework of nonequilibrium thermodynamics is developed.
		This thesis should play the same role in the nonequilibrium thermodynamics, as the Church-Turing thesis in the theory of computability.
		The notion of the invariant film of non-equilibrium states, and the method of its approximate construction transform the the problem of nonequilibrium kinetics into a series of problems of equilibrium statistical physics.
	www.ma.utexas.edu /mp_arc/a/03-373 (189 words)

	EURORHEO 2003-?. Third Workshop on Nonequilibrium Thermodynamics and Complex Fluids
		The application of thermodynamics to complex fluids, like polymeric liquids, dispersions, emulsions etc. is by no means obvious.
		In fact, at present there is an overwhelming amount of theories and a wide variety of approaches: Classical nonequilibrium thermodynamics with internal variables, Lagrangian methods, bracket formulations, continuum or rational thermodynamics, variational formulations, extended irreversible thermodynamics, the matrix model, network thermodynamics, and the recent GENERIC formalism.
		The final goal is to bring nonequilibrium thermodynamics to the same level of clarity and usefulness as equilibrium thermodynamics.
	www.complexfluids.ethz.ch /TRANSFER/PRINCETON (457 words)

	The Society of Rheology: 73rd Annual Meeting (Oct 2001) Paper PL1
		A particular fruitful area for applications has been the rheology of complex systems where nonequilibrium thermodynamics has been used to connect the modeling for the mechanical behavior to a description of the internal microstructure.
		Nonequilibrium thermodynamics can place constraints on model admissibility through the requirement of non-negative entropy production and establish links between various parts of the governing equations linking terms in the expression for the stress tensor to others appearing in the evolution of the internal structure or in mass transfer.
		A particular example in polymer rheology is the nonequilibrium casting of kinetic theory models that has allowed for a more systematic handling of heat and mass transfer effects.
	www.rheology.org /sor01a/abstract.asp?PaperID=215 (310 words)

	Chemical and Materials Engineering (Site not responding. Last check: 2007-10-20)
		Elliott is involved in the ongoing development of the Statistical Rate Theory of interfacial transport, which she has applied to adsorption kinetics and surface diffusion (important steps in catalytic reactions and chemical sensing).
		In Dr. Elliott’s current research, thermodynamics is being used to understand 1) microgravity fluid behaviour of multiphase systems of interest to the oil sands industry and 2) cryobiology fundamentals.
		Cryobiology is the study of life at temperatures too low to support life, with a major application being the preservation of cells and tissues for transplant.
	www.ualberta.ca /~jawe (330 words)

	Wiley::Beyond Equilibrium Thermodynamics
		Nonequilibrium thermodynamics has emerged as a promising new field of study dealing with irreversible processes in matter, and is fundamental to understanding these systems on a wide range of length scales, including the micro- or nanoscopic level.
		In addition to being based on the latest developments, Beyond Equilibrium Thermodynamics is itself a significant development in the field.
		In defining the new paradigm of beyond equilibrium thermodynamics, this book has the potential for opening a new field in the study of irreversible processes.
	www.wiley.com /WileyCDA/WileyTitle/productCd-0471666580,subjectCd-MS65,descCd-description.html?print=true (261 words)

	Non-Equilibrium Thermodynamics
		Predictive modeling of nonequilibrium molecular plasma flows for aerodynamic applications requires solution of coupled multidimensional flow equations (Navier-Stokes equations), electromagnetic field equations (Maxwell equations), and state-specific nonequilibrium kinetic equations (including master equation and Boltzmann equation).
		At Nonequilibrium Thermodynamics Group, we are developing a new generation Computational Nonequilibrium Plasmadynamics (CNPD) code, which would incorporate these critical features.
		Among the first problems to be analyzed using this code is a nitrogen flow through a transverse RF discharge sustained in a plane two-dimensional supersonic nozzle.
	rclsgi.eng.ohio-state.edu /~adamovic/netl/compNoneqPlas.html (814 words)

	read-more
		The objective of the statistical mechanics of far-from-equilibrium systems is to determine the thermodynamic properties and the temporal evolution of macroscopic quantities in terms of the dynamical laws that govern the movement of the particles that form the system.
		It can be said that non-equilibrium statistical thermodynamics had its origin during the last century with the works by Boltzmann who developed the basis for a kinetic theory of gases valid for diluted systems.
		Rational Thermodynamics [4] abandons the concept of local equilibrium and deals with response functionals that describe the system, at time t, by the values of the thermodynamic variables determined along all the previous evolution of the system (at times t'
	cmm.cit.nih.gov /~mago/read-more.html (2357 words)

	Modeling Microbial Consortiums as Distributed Metabolic Networks -- Vallino 204 (2): 174 -- The Biological Bulletin
		Allen, P. Ecology, thermodynamics, and self-organization: towards a new understanding of complexity.
		Johnson, L. The thermodynamic origin of ecosystems: a tale of broken symmetry.
		On the consistency between thermodynamical and network approaches to ecosystems.
	www.biolbull.org /cgi/content/full/204/2/174 (2163 words)

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