### Contributions to the Data on Theoretical Metallurgy: [Part] 7. The Thermodynamic Properties of Sulphur and its Inorganic Compounds

**Date:**1937

**Creator:**Kelley, K. K.

**Description:**Report issued by the Bureau of Mines discussing the thermodynamic properties of sulfur, and its inorganic compounds. As stated in the introduction, "the present bulletin has as its primary purpose the correlation of the thermodynamic properties of elementary sulfur and its inorganic compounds and the presentation, after careful consideration of all available information, of a self-consistent system of thermodynamic relationships for these substances" (p. 1). This report includes tables.

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### Microscopic Foundations of Thermodynamics and Generalized Statistical Ensembles

**Date:**May 2008

**Creator:**Campisi, Michele

**Description:**This dissertation aims at addressing two important theoretical questions which are still debated in the statistical mechanical community. The first question has to do with the outstanding problem of how to reconcile time-reversal asymmetric macroscopic laws with the time-reversal symmetric laws of microscopic dynamics. This problem is addressed by developing a novel mechanical approach inspired by the work of Helmholtz on monocyclic systems and the Heat Theorem, i.e., the Helmholtz Theorem. By following a line of investigation initiated by Boltzmann, a Generalized Helmholtz Theorem is stated and proved. This theorem provides us with a good microscopic analogue of thermodynamic entropy. This is the volume entropy, namely the logarithm of the volume of phase space enclosed by the constant energy hyper-surface. By using quantum mechanics only, it is shown that such entropy can only increase. This can be seen as a novel rigorous proof of the Second Law of Thermodynamics that sheds new light onto the arrow of time problem. The volume entropy behaves in a thermodynamic-like way independent of the number of degrees of freedom of the system, indicating that a whole thermodynamic-like world exists at the microscopic level. It is also shown that breaking of ergodicity leads to microcanonical ...

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### Thermodynamical Formalism

**Date:**August 2004

**Creator:**Chousionis, Vasileios

**Description:**Thermodynamical formalism is a relatively recent area of pure mathematics owing a lot to some classical notions of thermodynamics. On this thesis we state and prove some of the main results in the area of thermodynamical formalism. The first chapter is an introduction to ergodic theory. Some of the main theorems are proved and there is also a quite thorough study of the topology that arises in Borel probability measure spaces. In the second chapter we introduce the notions of topological pressure and measure theoretic entropy and we state and prove two very important theorems, Shannon-McMillan-Breiman theorem and the Variational Principle. Distance expanding maps and their connection with the calculation of topological pressure cover the third chapter. The fourth chapter introduces Gibbs states and the very important Perron-Frobenius Operator. The fifth chapter establishes the connection between pressure and geometry. Topological pressure is used in the calculation of Hausdorff dimensions. Finally the sixth chapter introduces the notion of conformal measures.

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### Thermodynamic Calculations Relating to Chloride Volatility Processing of Nuclear Fuels: [Part] 2. The Capacity of Chlorine for Transporting Plutonium Tetrachloride Vapor During Reaction of U3O8-PuO2 with Carbon Tetrachloride

**Date:**October 1964

**Creator:**Gens, T. A.

**Description:**Report issued by the Oak Ridge National Laboratory discussing thermodynamic calculations of nuclear fuels. As stated in the introduction, "the equations developed in this report could be used to calculate the capacity of chlorine for transporting plutonium tetrachloride" (p. 2). This report includes tables, and illustrations.

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**Permallink:**digital.library.unt.edu/ark:/67531/metadc100329/

### Contributions to the Data on Theoretical Metallurgy: [Part] 7. The Thermodynamic Properties of Sulphur and its Inorganic Compounds

**Date:**1937

**Creator:**Kelley, K. K.

**Description:**Report issued by the Bureau of Mines over studies on the thermodynamics of sulphur. As stated in the introduction, "the present bulletin has as its primary purpose the correlation of the thermodynamic properties of elementary sulphur and its inorganic compounds and the presentation, after careful consideration of all available information, of a self-consistent system of thermodynamic relationships for these substances" (p. 1). This report includes tables.

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**Permallink:**digital.library.unt.edu/ark:/67531/metadc38780/

### Electronic Distribution Functions and Thermodynamic Properties at High Temperatures

**Date:**May 1953

**Creator:**Brachman, Malcolm K. & Meyerott, Roland E.

**Description:**Report issued by the Argonne National Laboratory discussing the thermodynamics and electronic distribution of high temperatures. As stated in the introduction, "in the present paper, a model for computing is described which takes into account in detail the interactions between bound electrons and the average interaction of the bound electrons with the free ones" (p. 4). This report includes tables, and illustrations.

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**Permallink:**digital.library.unt.edu/ark:/67531/metadc67174/

### Transient Temperature in Infinite Plates, Infinite Cylinders, and Spheres Following a Simultaneous Step Change in Internal Heat Generation Rate, Coolant Temperature and Heat Transfer Coefficient

**Date:**1958

**Creator:**Epel, Lester G.

**Description:**Report regarding the problem of transient temperature in infinite plates, infinite cylinders, and spheres following during convective cooling after heat generation.

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**Permallink:**digital.library.unt.edu/ark:/67531/metadc100270/

### Dynamics, Thermodynamic formalism and Perturbations of Transcendental Entire Functions of Finite Singular Type

**Date:**May 2005

**Creator:**Coiculescu, Ion

**Description:**In this dissertation, we study the dynamics, fractal geometry and the topology of the Julia set of functions in the family H which is a set in the class S, the Speiser class of entire transcendental functions which have only finitely many singular values. One can think of a function from H as a generalized expanding function from the cosh family. We shall build a version of thermodynamic formalism for functions in H and we shall show among others, the existence and uniqueness of a conformal measure. Then we prove a Bowen's type formula, i.e. we show that the Hausdorff dimension of the set of returning points, is the unique zero of the pressure function. We shall also study conjugacies in the family H, perturbation of functions in the family and related dynamical properties. We define Perron-Frobenius operators for some functions naturally associated with functions in the family H and then, using fundamental properties of these operators, we shall prove the important result that the Hausdorff dimension of the subset of returning points depends analytically on the parameter taken from a small open subset of the n-dimensional parameter space.

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### Boiling Water Reactor Technology Status of the Art Report: Volume 1., Heat Transfer and Hydraulics

**Date:**February 1962

**Creator:**Lottes, P. A.

**Description:**Report discussing state of the art design and operation of heat transfer and hydraulics equipment and technology in boiling water reactor power plants.

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**Permallink:**digital.library.unt.edu/ark:/67531/metadc11563/

### The Chemical Thermodynamic Properties of Hydrocarbons and Related Substances: Properties of 100 Linear Alkane Thiols, Sulfides, and Symmetrical Disulfides in the Ideal Gas State from 0° to 1,000° K

**Date:**1961

**Creator:**Scott, Donald W. & McCullough, John P.

**Description:**None

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**Permallink:**digital.library.unt.edu/ark:/67531/metadc12749/