Quantum gases of Chromium: thermodynamics and magnetic

... 2 Loading an Optical Dipole Trap with 53 Cr atoms: a first step towards producing a Chromium Fermi sea 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Producing a 53 Cr MOT . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2.1 Laser system . . . . . . . . ...

... 2 Loading an Optical Dipole Trap with 53 Cr atoms: a first step towards producing a Chromium Fermi sea 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Producing a 53 Cr MOT . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2.1 Laser system . . . . . . . . ...

DISP-2003: Introduction to Digital Signal Processing

... Note that the above only applies to the Cartesian coordinate system. Dr. Blanton - ENTC 3331 - Gauss’s Theorem ...

... Note that the above only applies to the Cartesian coordinate system. Dr. Blanton - ENTC 3331 - Gauss’s Theorem ...

Chapter 13

... The compressibility factor in this case turned out to be almost the same as the one determined by using Kay’s rule. (d) When Dalton’s law is used in conjunction with compressibility factors, Zm is again determined from Eq. 13–10. However, this time the Z of each component is to be determined at the ...

... The compressibility factor in this case turned out to be almost the same as the one determined by using Kay’s rule. (d) When Dalton’s law is used in conjunction with compressibility factors, Zm is again determined from Eq. 13–10. However, this time the Z of each component is to be determined at the ...

Controlled Manipulation of Engineered Colloidal Particles Janine

... influences, including electric fields, magnetic fields and a templating approach based on the PRINT process. Given the tunability in particle properties afforded by the PRINT process, exceptional control of the resulting particle assemblies and particle mobility were observed, suggesting potential a ...

... influences, including electric fields, magnetic fields and a templating approach based on the PRINT process. Given the tunability in particle properties afforded by the PRINT process, exceptional control of the resulting particle assemblies and particle mobility were observed, suggesting potential a ...

The Einstein–Vlasov System/Kinetic Theory H˚ akan Andr´ easson

... case will also be mentioned. The reason that we focus on the relativistic case is not only that it is more closely related to the main theme in this review, but also that the literature on relativistic kinetic theory is very sparse in comparison to the non-relativistic case, in particular concerning ...

... case will also be mentioned. The reason that we focus on the relativistic case is not only that it is more closely related to the main theme in this review, but also that the literature on relativistic kinetic theory is very sparse in comparison to the non-relativistic case, in particular concerning ...

Paul Ehrenfest: The Genesis of the Adiabatic Hypothesis, 1911–1914

... of the molecule, this meant that the initial ellipses around q = p = 0 were transformed into the regions of phase space given by Eq. (9). Assumption B then states that in an ...

... of the molecule, this meant that the initial ellipses around q = p = 0 were transformed into the regions of phase space given by Eq. (9). Assumption B then states that in an ...

entropy and superfluid critical parameters of a strongly interacting

... is “A good experimental physicist is always an excellent engineer,” which is one of many John’s quotations I love. John has been a fantastic mentor and a true friend during my years at Duke. I am sure that I will look back on this time in my life with fond memories with such a great mentor. In our ...

... is “A good experimental physicist is always an excellent engineer,” which is one of many John’s quotations I love. John has been a fantastic mentor and a true friend during my years at Duke. I am sure that I will look back on this time in my life with fond memories with such a great mentor. In our ...

Thermodynamics Chapter 4

... During a steady-flow process, the fluid flows through the control volume steadily, experiencing no change with time at a fixed position. The mass and energy content of the control volume remain constant during a steady-flow process. ...

... During a steady-flow process, the fluid flows through the control volume steadily, experiencing no change with time at a fixed position. The mass and energy content of the control volume remain constant during a steady-flow process. ...

kinetic theory of instability-enhanced collective interactions in plasma

... the domain of interest, or otherwise modify the distribution functions to limit the instability amplitude, before nonlinear amplitudes are reached. Specification of the discrete particle origin of fluctuations allows one to show properties of the resultant collision operator that cannot be shown fro ...

... the domain of interest, or otherwise modify the distribution functions to limit the instability amplitude, before nonlinear amplitudes are reached. Specification of the discrete particle origin of fluctuations allows one to show properties of the resultant collision operator that cannot be shown fro ...

PDF corrected surface chemistry

... solvent and then the solution is added to another solvent in which it is less soluble. For example if an alcoholic solution (true solution) of sulphur is added in excess of water, a colloidal solution of sulphur results. Sulphur is insoluble in water. 2. Passing vapours of an element into a liquid: ...

... solvent and then the solution is added to another solvent in which it is less soluble. For example if an alcoholic solution (true solution) of sulphur is added in excess of water, a colloidal solution of sulphur results. Sulphur is insoluble in water. 2. Passing vapours of an element into a liquid: ...

Gulder-UToronto-CombustionThermochemistry.pdf

... • For an isolated system of fixed volume, mass, and energy system, the maximum entropy approach demonstrates the role of second law. • In most typical sysytems, however, the equilibrium χi are required for a given T , P , and Φ. • For such cases, the Gibbs free energy, G replaces entropy as the impo ...

... • For an isolated system of fixed volume, mass, and energy system, the maximum entropy approach demonstrates the role of second law. • In most typical sysytems, however, the equilibrium χi are required for a given T , P , and Φ. • For such cases, the Gibbs free energy, G replaces entropy as the impo ...

Chapter 7 -- Removal of Particles from Gas Streams

... particulate separation by external forces, one must be able to compute the motion of a particle under such circumstances. A preliminary selection of suitable particulate emission control systems is generally based on knowledge of four items: particulate concentration in the stream to be cleaned, the ...

... particulate separation by external forces, one must be able to compute the motion of a particle under such circumstances. A preliminary selection of suitable particulate emission control systems is generally based on knowledge of four items: particulate concentration in the stream to be cleaned, the ...

ABSTRACT Title of Document:

... various hydrodynamics-based models, and these suggest that the matter behaves as an ultra low-viscosity liquid, achieving local thermal equilibrium very early in the collision evolution. This thesis presents measurements of the elliptic flow anisotropy parameter, v2, for Au+Au and Cu+Cu collisions a ...

... various hydrodynamics-based models, and these suggest that the matter behaves as an ultra low-viscosity liquid, achieving local thermal equilibrium very early in the collision evolution. This thesis presents measurements of the elliptic flow anisotropy parameter, v2, for Au+Au and Cu+Cu collisions a ...

# H-theorem

In classical statistical mechanics, the H-theorem, introduced by Ludwig Boltzmann in 1872, describes the tendency to increase in the quantity H (defined below) in a nearly-ideal gas of molecules. As this quantity H was meant to represent the entropy of thermodynamics, the H-theorem was an early demonstration of the power of statistical mechanics as it claimed to derive the second law of thermodynamics—a statement about fundamentally irreversible processes—from reversible microscopic mechanics.The H-theorem is a natural consequence of the kinetic equation derived by Boltzmann that has come to be known as Boltzmann's equation. The H-theorem has led to considerable discussion about its actual implications, with major themes being: What is entropy? In what sense does Boltzmann's quantity H correspond to the thermodynamic entropy? Are the assumptions (such as the Stosszahlansatz described below) behind Boltzmann's equation too strong? When are these assumptions violated?↑