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François Massieu
François Jacques Dominique Massieu (4 August 1832 – 5 February 1896) was a French thermodynamics engineer noted for his two 1869 characteristic functions, each of which known as a Massieu function (the first of which sometimes called free entropy), as cited by American engineer Willard Gibbs in his 1876 ''On the Equilibrium of Heterogeneous Substances In the history of thermodynamics, ''On the Equilibrium of Heterogeneous Substances'' is a 300-page paper written by American chemical physicist Willard Gibbs. It is one of the founding papers in thermodynamics, along with German physicist Hermann ...''. References External links *Nivoit, E. (1897). Notice of the Life and Work of Mr. Massieu Inspector General of Mines” (French → English), Annales des Mines, 9th Series, Vol. 11. {{DEFAULTSORT:Massieu, Francois 1832 births 1896 deaths Thermodynamicists ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thermodynamics
Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these quantities is governed by the four laws of thermodynamics which convey a quantitative description using measurable macroscopic physical quantities, but may be explained in terms of microscopic constituents by statistical mechanics. Thermodynamics applies to a wide variety of topics in science and engineering, especially physical chemistry, biochemistry, chemical engineering and mechanical engineering, but also in other complex fields such as meteorology. Historically, thermodynamics developed out of a desire to increase the efficiency of early steam engines, particularly through the work of French physicist Sadi Carnot (1824) who believed that engine efficiency was the key that could help France win the Napoleonic Wars. Scots-Irish physicist Lord Kelvin was the first to formulate a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Massieu Function
In thermodynamics, Massieu function (sometimes called Massieu–Gibbs function, Massieu potential, or Gibbs function, or characteristic (state) function in its original terminology), symbol \Psi (Psi), is defined by the following relation: : \Psi = \Psi \big( X_1, \dots, X_i, Y_, \dots Y_r \big) \, where for every system with degree of freedom ''r'' one may choose r variables, e.g. \big( X_1, \dots, X_i, Y_, \dots Y_r \big) \, , to define a coordinate system, where ''X'' and ''Y'' are extensive and intensive variables, respectively, and where at least one extensive variable must be within this set in order to define the size of the system. The (''r'' + 1)-th variable, \Psi , is then called the Massieu function.Inden, Gerhard. (2008). Introduction to Thermodynamics, ''Materials Issues for Generation IV Systems'', pgs. 73–112. Springer The Massieu function was introduced in the 1869 paper "On the Characteristic Functions of Various Fluids" by French eng ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Free Entropy
A thermodynamic free entropy is an entropic thermodynamic potential analogous to the free energy. Also known as a Massieu, Planck, or Massieu–Planck potentials (or functions), or (rarely) free information. In statistical mechanics, free entropies frequently appear as the logarithm of a partition function. The Onsager reciprocal relations in particular, are developed in terms of entropic potentials. In mathematics, free entropy means something quite different: it is a generalization of entropy defined in the subject of free probability. A free entropy is generated by a Legendre transformation of the entropy. The different potentials correspond to different constraints to which the system may be subjected. Examples The most common examples are: where ::S is entropy ::\Phi is the Massieu potential ::\Xi is the Planck potential ::U is internal energy ::T is temperature ::P is pressure ::V is volume ::A is Helmholtz free energy ::G is Gibbs free energy ::N_i is number of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Willard Gibbs
Josiah Willard Gibbs (; February 11, 1839 – April 28, 1903) was an American scientist who made significant theoretical contributions to physics, chemistry, and mathematics. His work on the applications of thermodynamics was instrumental in transforming physical chemistry into a rigorous inductive science. Together with James Clerk Maxwell and Ludwig Boltzmann, he created statistical mechanics (a term that he coined), explaining the laws of thermodynamics as consequences of the statistical properties of ensembles of the possible states of a physical system composed of many particles. Gibbs also worked on the application of Maxwell's equations to problems in physical optics. As a mathematician, he invented modern vector calculus (independently of the British scientist Oliver Heaviside, who carried out similar work during the same period). In 1863, Yale awarded Gibbs the first American doctorate in engineering. After a three-year sojourn in Europe, Gibbs spent the rest of his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
On The Equilibrium Of Heterogeneous Substances
In the history of thermodynamics, ''On the Equilibrium of Heterogeneous Substances'' is a 300-page paper written by American chemical physicist Willard Gibbs. It is one of the founding papers in thermodynamics, along with German physicist Hermann von Helmholtz's 1882 paper "'' Thermodynamik chemischer Vorgänge.''" Together they form the foundation of chemical thermodynamics as well as a large part of physical chemistry. Gibbs's ''Equilibrium'' marked the beginning of chemical thermodynamics by integrating chemical, physical, electrical, and electromagnetic phenomena into a coherent system. It introduced concepts such as chemical potential, phase rule, and others, which form the basis for modern physical chemistry. American writer Bill Bryson describes Gibbs's ''Equilibrium'' paper as "the '' Principia'' of thermodynamics". ''On the Equilibrium of Heterogeneous Substances'', was originally published in a relatively obscure American journal, the ''Transactions of the Connecticut ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1832 Births
Year 183 ( CLXXXIII) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Aurelius and Victorinus (or, less frequently, year 936 ''Ab urbe condita''). The denomination 183 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * An assassination attempt on Emperor Commodus by members of the Senate fails. Births * January 26 – Lady Zhen, wife of the Cao Wei state Emperor Cao Pi (d. 221) * Hu Zong, Chinese general, official and poet of the Eastern Wu state (d. 242) * Liu Zan (Zhengming), Chinese general of the Eastern Wu state (d. 255) * Lu Xun Zhou Shuren (25 September 1881 – 19 October 1936), better known by his pen name Lu Xun (or Lu Sun; ; Wade–Giles: Lu Hsün), was a Chinese writer, essayist, poet, and literary criti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1896 Deaths
Events January–March * January 2 – The Jameson Raid comes to an end, as Jameson surrenders to the Boers. * January 4 – Utah is admitted as the 45th U.S. state. * January 5 – An Austrian newspaper reports that Wilhelm Röntgen has discovered a type of radiation (later known as X-rays). * January 6 – Cecil Rhodes is forced to resign as Prime Minister of the Cape of Good Hope, for his involvement in the Jameson Raid. * January 7 – American culinary expert Fannie Farmer publishes her first cookbook. * January 12 – H. L. Smith takes the first X-ray photograph. * January 17 – Fourth Anglo-Ashanti War: British redcoats enter the Ashanti capital, Kumasi, and Asantehene Agyeman Prempeh I is deposed. * January 18 – The X-ray machine is exhibited for the first time. * January 28 – Walter Arnold, of East Peckham, Kent, England, is fined 1 shilling for speeding at (exceeding the contemporary speed limit of , the first sp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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