Statics and dynamics of inhomogeneous liquids via the internal-energy functional

The whole world is currently struggling with one of the most disastrous pandemics to hit in modern times – Covid-19. Individual national governments, the WHO and worldwide media organisations are appealing for humanity to universally stay at home, to limit contact and to stay safe in the ongoing fight against this unseen threat. Economists are concerned about the devastating effect this will have on the markets and possible outcomes. One of the countries suffering from potential destruction of this situation is Poland. In this article we will explain how difficult internal energy transformation is, considering the long-term crisis associated with the extraction and usage of coal, the European Green Deal and current discussion on increasing the EU 2030 climate ambitions. In the face of an ongoing pandemic, the situation becomes even more challenging with each passing day.

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Deterministic Mechanism of Irreversibility

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v14i3.7759 ◽

2018 ◽

Vol 14 (3) ◽

pp. 5708-5733 ◽

Cited By ~ 1

Author(s):

Vyacheslav Michailovich Somsikov

Keyword(s):

Internal Energy ◽

Hamiltonian Systems ◽

Classical Mechanics ◽

Motion Equation ◽

Holonomic Constraints ◽

Dissipative Processes ◽

Motion Energy ◽

Analytical Review ◽

History Of ◽

Material Points

The analytical review of the papers devoted to the deterministic mechanism of irreversibility (DMI) is presented. The history of solving of the irreversibility problem is briefly described. It is shown, how the DMI was found basing on the motion equation for a structured body. The structured body was given by a set of potentially interacting material points. The taking into account of the body’s structure led to the possibility of describing dissipative processes. This possibility caused by the transformation of the body’s motion energy into internal energy. It is shown, that the condition of holonomic constraints, which used for obtaining of the canonical formalisms of classical mechanics, is excluding the DMI in Hamiltonian systems. The concepts of D-entropy and evolutionary non-linearity are discussed. The connection between thermodynamics and the laws of classical mechanics is shown. Extended forms of the Lagrange, Hamilton, Liouville, and Schrödinger equations, which describe dissipative processes, are presented.

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Radiative interactions between absorbing- emitting and flowing mediawith internal energy generation

10.2514/6.1966-434 ◽

1966 ◽

Cited By ~ 2

Author(s):

J. HOWELL

Keyword(s):

Internal Energy ◽

Energy Generation

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Reciprocal Polarizable Embedding with a Transferable H2O Potential Function I: Formulation & Tests on Dimer

10.26434/chemrxiv.9206417 ◽

2019 ◽

Author(s):

Elvar Jónsson ◽

Asmus Ougaard Dohn ◽

Hannes Jonsson

Keyword(s):

Potential Function ◽

Dft Method ◽

Multipole Expansion ◽

Energy Functional ◽

Real Space ◽

Functional Formulation ◽

General Energy ◽

Projector Augmented Wave ◽

Grid Based ◽

Polarizable Embedding

This work describes a general energy functional formulation of a polarizable embedding QM/MM scheme, as well as an implementation where a real-space Grid-based Projector Augmented Wave (GPAW) DFT method is coupled with a potential function for H<sub>2</sub>O based on a Single Center Multipole Expansion (SCME) of the electrostatics, including anisotropic dipole and quadrupole polarizability.

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