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Maximum Entropy Production
Energy dissipation and entropy production extremal principles are ideas developed within non-equilibrium thermodynamics that attempt to predict the likely steady states and dynamical structures that a physical system might show. The search for extremum principles for non-equilibrium thermodynamics follows their successful use in other branches of physics.Ziegler, H., (1983). ''An Introduction to Thermomechanics'', North-Holland, Amsterdam, According to Kondepudi (2008), and to Grandy (2008),Grandy, W.T., Jr (2008). ''Entropy and the Time Evolution of Macroscopic Systems'', Oxford University Press, Oxford, . there is no general rule that provides an extremum principle that governs the evolution of a far-from-equilibrium system to a steady state. According to Glansdorff and Prigogine (1971, page 16), irreversible processes usually are not governed by global extremal principles because description of their evolution requires differential equations which are not self-adjoint, but local ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Entropy Production
Entropy production (or generation) is the amount of entropy which is produced during heat process to evaluate the efficiency of the process. Short history Entropy is produced in irreversible processes. The importance of avoiding irreversible processes (hence reducing the entropy production) was recognized as early as 1824 by Carnot. In 1865 Rudolf Clausius expanded his previous work from 1854 on the concept of "unkompensierte Verwandlungen" (uncompensated transformations), which, in our modern nomenclature, would be called the entropy production. In the same article in which he introduced the name entropy, Clausius gives the expression for the entropy production for a cyclical process in a closed system, which he denotes by ''N'', in equation (71) which reads :N=S-S_0-\int\frac. Here ''S'' is the entropy in the final state and ''S0'' the entropy in the initial state; ''S0-S'' is the entropy difference for the backwards part of the process. The integral is to be taken from the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ilya Prigogine
Viscount Ilya Romanovich Prigogine (; ; 28 May 2003) was a Belgian physical chemist of Russian-Jewish origin, noted for his work on dissipative structures, complex systems, and irreversibility. Prigogine's work most notably earned him the 1977 Nobel Prize in Chemistry “for his contributions to non-equilibrium thermodynamics, particularly the theory of dissipative structures”, as well as the Francqui Prize in 1955, and the Rumford Medal in 1976. Biography Early life and studies Prigogine was born in Moscow a few months before the October Revolution of 1917, into a Jewish family. His father, Ruvim (Roman) Abramovich Prigogine, was a chemist who studied at the Imperial Moscow Technical School and owned a soap factory; his mother, Yulia Vikhman, was a pianist who attended the Moscow Conservatory. In 1921, the factory having been nationalized by the new Soviet regime and the feeling of insecurity rising amidst the civil war, the family left Russia. After a brief period i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fluctuation Theorem
The fluctuation theorem (FT), which originated from statistical mechanics, deals with the relative probability that the Entropy (statistical thermodynamics), entropy of a system which is currently away from thermodynamic equilibrium (i.e., maximum entropy) will increase or decrease over a given amount of time. While the second law of thermodynamics predicts that the entropy of an isolated system should tend to increase until it reaches equilibrium, it became apparent after the discovery of statistical mechanics that the second law is only a statistical one, suggesting that there should always be some nonzero probability that the entropy of an isolated system might spontaneously ''decrease''; the fluctuation theorem precisely quantifies this probability. Statement Roughly, the fluctuation theorem relates to the probability distribution of the time-averaged irreversible entropy production, denoted \overline_t. The theorem states that, in systems away from equilibrium over a fi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Non-equilibrium Thermodynamics
Non-equilibrium thermodynamics is a branch of thermodynamics that deals with physical systems that are not in thermodynamic equilibrium but can be described in terms of macroscopic quantities (non-equilibrium state variables) that represent an extrapolation of the variables used to specify the system in thermodynamic equilibrium. Non-equilibrium thermodynamics is concerned with transport processes and with the rates of chemical reactions. Almost all systems found in nature are not in thermodynamic equilibrium, for they are changing or can be triggered to change over time, and are continuously and discontinuously subject to flux of matter and energy to and from other systems and to chemical reactions. Many systems and processes can, however, be considered to be in equilibrium locally, thus allowing description by currently known equilibrium thermodynamics. Nevertheless, some natural systems and processes remain beyond the scope of equilibrium thermodynamic methods due to the exis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Self-organization
Self-organization, also called spontaneous order in the social sciences, is a process where some form of overall order and disorder, order arises from local interactions between parts of an initially disordered system. The process can be spontaneous when sufficient energy is available, not needing control by any external agent. It is often triggered by seemingly random Statistical fluctuations, fluctuations, amplified by positive feedback. The resulting organization is wholly decentralized, :wikt:distribute, distributed over all the components of the system. As such, the organization is typically Robustness, robust and able to survive or self-healing material, self-repair substantial perturbation theory, perturbation. Chaos theory discusses self-organization in terms of islands of predictability in a sea of chaotic unpredictability. Self-organization occurs in many physics, physical, chemistry, chemical, biology, biological, robotics, robotic, and cognitive systems. Examples of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rayleigh–Bénard Convection
In Thermal fluids, fluid thermodynamics, Rayleigh–Bénard convection is a type of natural convection, occurring in a planar horizontal layer of fluid heated from below, in which the fluid develops a regular pattern of convection cells known as Bénard cells. Such systems were first investigated by Joseph Valentin Boussinesq and Anton Oberbeck in the 19th century. This phenomenon can also manifest where a species denser than the electrolyte is consumed from below and generated at the top. Bénard–Rayleigh convection is one of the most commonly studied convection phenomena because of its analytical and experimental accessibility. The convection patterns are the most carefully examined example of self-organizing nonlinear systems. Time-dependent Self-similar solution, self-similar analytic solutions are known for the velocity fields and for the temperature distribution as well. Buoyancy, and hence gravity, are responsible for the appearance of convection cells. The initial move ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rudolf Clausius
Rudolf Julius Emanuel Clausius (; 2 January 1822 – 24 August 1888) was a German physicist and mathematician and is considered one of the central founding fathers of the science of thermodynamics. By his restatement of Sadi Carnot's principle known as the Carnot cycle, he gave the theory of heat a truer and sounder basis. His most important paper, "On the Moving Force of Heat", published in 1850, first stated the basic ideas of the second law of thermodynamics. In 1865 he introduced the concept of entropy. In 1870 he introduced the virial theorem, which applied to heat. Life Clausius was born in Köslin (now Koszalin, Poland) in the Province of Pomerania in Prussia. His father was a Protestant pastor and school inspector, and Rudolf studied in the school of his father. In 1838, he went to the Gymnasium in Stettin. Clausius graduated from the University of Berlin in 1844 where he had studied mathematics and physics since 1840 with, among others, Gustav Magnus, Peter Gusta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hans Ziegler (physicist)
Hans Ziegler was born in Winterthur, Switzerland, on 5 September 1910, and died in Estes Park, Colorado, on 5 August 1985. He was raised and spent his early career in Switzerland but much of his later career in the United States. Hans Ziegler was an academic and was the author of textbooks on engineering and thermodynamics, which were translated into other languages, and re-issued in new editions. In non-equilibrium thermodynamics Non-equilibrium thermodynamics is a branch of thermodynamics that deals with physical systems that are not in thermodynamic equilibrium but can be described in terms of macroscopic quantities (non-equilibrium state variables) that represent an ex ..., he considered a 'principle of maximum dissipation rate'. He was also an early proponent of a 'principle of maximum rate of entropy production', which is closely related to a 'principle of maximum dissipation rate'. The range of applicability and validity or invalidity of these 'principles' has been exa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Ziman
John Michael Ziman (16 May 1925 – 2 January 2005) was a British-born New Zealand physicist and humanist who worked in the area of condensed matter physics. He was a spokesman for science, as well as a teacher and author. Ziman was born in Cambridge, England, in 1925. His parents were Solomon Netheim Ziman and, Nellie Frances, née Gaster. The family emigrated to New Zealand when Ziman was a baby. He obtained his early education at Hamilton High School and the Victoria University College. He obtained his PhD from Balliol College, Oxford and did his early research on the theory of electrons in liquid metals at the University of Cambridge. In 1964 he was appointed professor of theoretical physics at University of Bristol, where he wrote his ''Elements Of Advanced Quantum Theory'' (1969) which explains the rudiments of quantum field theory with an elementary condensed matter slant. During this period, his interests shifted towards the philosophy of science Philosophy of scie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hendrik Casimir
Hendrik Brugt Gerhard Casimir (15 July 1909 – 4 May 2000) was a Dutch physicist who made significant contributions to the field of quantum mechanics and quantum electrodynamics. He is best known for his work on the Casimir effect, which describes the attractive force between two uncharged plates in a vacuum due to quantum fluctuations of the electromagnetic field. Hendrik Casimir is also known for his research on the two-fluid model of superconductors (together with C. J. Gorter) in 1934. Biography Casimir was born 15 July 1909. He studied theoretical physics at the University of Leiden under Paul Ehrenfest, where he received his Ph.D. in 1931. His Ph.D. thesis dealt with the quantum mechanics of a rigid spinning body and the group theory of the rotations of molecules. During that time he also spent some time in Copenhagen with Niels Bohr, where he helped Bohr support the latter's hypothesis of the gunslinger effect with mock shoot-outs on campus. From 1932 to mid-1933, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diederik Korteweg
Diederik Johannes Korteweg (31 March 1848 – 10 May 1941) was a Dutch mathematician. He is now best remembered for his work on the Korteweg–de Vries equation, together with Gustav de Vries. Early life and education Diederik Korteweg's father was a judge in 's-Hertogenbosch, Netherlands. Korteweg received his schooling there, studying at a special academy which prepared students for a military career. However, he decided against a military career and, making the first of his changes of direction, he began his studies at the Polytechnical School of Delft. Korteweg originally intended to become an engineer but, although he maintained an interest in mechanics and other applications of mathematics throughout his life, his love of mathematics made him change direction for the second time when he was not enjoying the technical courses at Delft. He decided to terminate his course and pull out of his studies so that he could concentrate on mathematics. He then enrolled in mathematics ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Non-equilibrium Thermodynamics
Non-equilibrium thermodynamics is a branch of thermodynamics that deals with physical systems that are not in thermodynamic equilibrium but can be described in terms of macroscopic quantities (non-equilibrium state variables) that represent an extrapolation of the variables used to specify the system in thermodynamic equilibrium. Non-equilibrium thermodynamics is concerned with transport processes and with the rates of chemical reactions. Almost all systems found in nature are not in thermodynamic equilibrium, for they are changing or can be triggered to change over time, and are continuously and discontinuously subject to flux of matter and energy to and from other systems and to chemical reactions. Many systems and processes can, however, be considered to be in equilibrium locally, thus allowing description by currently known equilibrium thermodynamics. Nevertheless, some natural systems and processes remain beyond the scope of equilibrium thermodynamic methods due to the exis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
