scholarly journals The Application of the Generalized Differential Formulation of the First Law of Thermodynamics for Evidence of the Tidal Mechanism of Maintenance of the Energy and Viscous-Thermal Dissipative Turbulent Structure of the Mesoscale Oceanic Eddies

2018 ◽  
Vol 09 (03) ◽  
pp. 357-386 ◽  
Author(s):  
Sergey V. Simonenko ◽  
Vyacheslav B. Lobanov
Keyword(s):  
Turbulent Structure ◽  
First Law Of Thermodynamics ◽  
Differential Formulation ◽  
Oceanic Eddies ◽  
Generalized Differential

scholarly journals Fundamentals of the Thermohydrogravidynamic Theory of the Global Seismotectonic Activity of the Earth

2013 ◽  
Vol 2013 ◽  
pp. 1-39 ◽  
Author(s):  
Sergey V. Simonenko
Keyword(s):  
Kinetic Energy ◽  
Gravitational Potential Energy ◽  
First Law Of Thermodynamics ◽  
Differential Formulation ◽  
The Earth ◽  
Continuum Region ◽  
Gravitational Influence ◽  
Generalized Differential ◽  
Seismotectonic Activity ◽  
The Continuum

The article presents the fundamentals of the cosmic geophysics (representing the deterministic thermohydrogravidynamic theory intended for earthquakes prediction) based on the author's generalized differential formulation of the first law of thermodynamics extending the classical Gibbs' formulation by taking into account (along with the classical infinitesimal change of heatδQand the classical infinitesimal change of the internal energydUτ) the infinitesimal increment of the macroscopic kinetic energydKτ, the infinitesimal increment of the gravitational potential energydπτ, the generalized expression for the infinitesimal workδAnp,∂τdone by the nonpotential terrestrial stress forces (determined by the symmetric stress tensorT) acting on the boundary of the continuum regionτ, and the infinitesimal incrementdGof energy due to the cosmic and terrestrial nonstationary energy gravitational influence on the continuum regionτduring the infinitesimal timedt. Based on the established generalized differential formulation of the first law of thermodynamics, the author explains the founded cosmic energy gravitational genesis of the strong Chinese 2008 and the strong Japanese 2011 earthquakes.

Conservation of Energy Readings on the Origins of the First Law of Thermodynamics. Part I

2011 ◽  
Vol 19 (2) ◽  
pp. 159 ◽  
Author(s):  
Jaime Wisniak
Keyword(s):  
Conservation Of Energy ◽  
First Law Of Thermodynamics

Los conceptos de masa, movimiento y energía han ocupado la atención de filósofos y científicos desde tiempos ancestrales. Aun cuando hubo muchos que creían que la masa y la energía se conservaban, debieron pasar muchos años hasta que la primera ley de la termodinámica adquiriera su forma actual. La ley de conservación de la energía es uno de los principios fundamentales del mundo físico como lo entendemos hoy. Negar la posibilidad del movimiento perpetuo le coloca un límite superior a la utilización de la energía y a la eficiencia termodinámica de un proceso.

Non-Equilibrium Green’s Functions: Variational Relations and Approximations for Particle Interactions

2018 ◽  
Author(s):  
Norman J. Morgenstern Horing
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Green's Functions ◽  
Green’S Functions ◽  
Random Phase ◽  
Integration Contour ◽  
Differential Formulation ◽  
Variational Relations ◽  
Potential Perturbation ◽  
Non Equilibrium

Chapter 09 Nonequilibrium Green’s functions (NEGF), including coupled-correlated (C) single- and multi-particle Green’s functions, are defined as averages weighted with the time-development operator U(t0+τ,t0). Linear conductivity is exhibited as a two-particle equilibrium Green’s function (Kubo-type formulation). Admitting particle sources (S:η,η+) and non-conservation of number, the non-equilibrium multi-particle Green’s functions are constructed with numbers of creation and annihilation operators that may differ, and they may be derived as variational derivatives with respect to sources η,η+ of a generating functional eW=TrU(t0+τ,t0)CS/TrU(t0+τ,t0)C. (In the non-interacting case this yields the n-particle Green’s function as a permanent/determinant of single-particle Green’s functions.) These variational relations yield a symmetric set of multi-particle Green’s function equations. Cumulants and the Linked Cluster Theorem are discussed and the Random Phase Approximation (RPA) is derived variationally. Schwinger’s variational differential formulation of perturbation theories for the Green’s function, self-energy, vertex operator, and also shielded potential perturbation theory, are reviewed. The Langreth Algebra arises from analytic continuation of integration of products of Green’s functions in imaginary time to the real-time axis with time-ordering along the integration contour in the complex time plane. An account of the Generalized Kadanoff-Baym Ansatz is presented.

GDE4: The Generalized Differential Evolution with Ordered Mutation

2019 ◽  
pp. 101-113 ◽  
Author(s):  
Azam Asilian Bidgoli ◽  
Sedigheh Mahdavi ◽  
Shahryar Rahnamayan ◽  
Hessein Ebrahimpour-Komleh
Keyword(s):  
Differential Evolution ◽  
Generalized Differential
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