Standard

Two Approaches to the Description of the Evolution of Thermodynamic Systems. / Gromov, Dmitry.

In: IFAC-PapersOnLine, Vol. 49, No. 24, 2016, p. 34-39.

Research output: Contribution to journal › Article › peer-review

Harvard

Gromov, D 2016, 'Two Approaches to the Description of the Evolution of Thermodynamic Systems', IFAC-PapersOnLine, vol. 49, no. 24, pp. 34-39. https://doi.org/10.1016/j.ifacol.2016.10.749, https://doi.org/10.1016/j.ifacol.2016.10.749

APA

Gromov, D. (2016). Two Approaches to the Description of the Evolution of Thermodynamic Systems. IFAC-PapersOnLine, 49(24), 34-39. https://doi.org/10.1016/j.ifacol.2016.10.749, https://doi.org/10.1016/j.ifacol.2016.10.749

Vancouver

Gromov D. Two Approaches to the Description of the Evolution of Thermodynamic Systems. IFAC-PapersOnLine. 2016;49(24):34-39. https://doi.org/10.1016/j.ifacol.2016.10.749, https://doi.org/10.1016/j.ifacol.2016.10.749

Author

Gromov, Dmitry. / Two Approaches to the Description of the Evolution of Thermodynamic Systems. In: IFAC-PapersOnLine. 2016 ; Vol. 49, No. 24. pp. 34-39.

BibTeX

@article{33753b0efc754475bb8e0515871a2173,
title = "Two Approaches to the Description of the Evolution of Thermodynamic Systems",
abstract = "This paper analyses two approaches to the description of thermodynamic evolution. The first approach describes the dynamics of a thermodynamic system by contact vector fields extended with inputs and outputs while the second One interprets the. thermodynamic vector field as a smooth section of the tangent bundle of the respective Legendre manifold parametrized by n functions, called thermodynamic controls. It is shown that there is a duality between these two approaches similar to the one found in the symplectic case. However, there are still many open questions which present a waste opportunity for further research. 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.",
keywords = "Mathematical modeling, Thermodynamics, Contact geometry, HAMILTONIAN-SYSTEMS",
author = "Dmitry Gromov",
year = "2016",
doi = "10.1016/j.ifacol.2016.10.749",
language = "Английский",
volume = "49",
pages = "34--39",
journal = "IFAC-PapersOnLine",
issn = "2405-8971",
publisher = "Elsevier",
number = "24",
note = "null ; Conference date: 28-09-2016 Through 30-09-2016",

}

RIS

TY - JOUR

T1 - Two Approaches to the Description of the Evolution of Thermodynamic Systems

AU - Gromov, Dmitry

PY - 2016

Y1 - 2016

N2 - This paper analyses two approaches to the description of thermodynamic evolution. The first approach describes the dynamics of a thermodynamic system by contact vector fields extended with inputs and outputs while the second One interprets the. thermodynamic vector field as a smooth section of the tangent bundle of the respective Legendre manifold parametrized by n functions, called thermodynamic controls. It is shown that there is a duality between these two approaches similar to the one found in the symplectic case. However, there are still many open questions which present a waste opportunity for further research. 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

AB - This paper analyses two approaches to the description of thermodynamic evolution. The first approach describes the dynamics of a thermodynamic system by contact vector fields extended with inputs and outputs while the second One interprets the. thermodynamic vector field as a smooth section of the tangent bundle of the respective Legendre manifold parametrized by n functions, called thermodynamic controls. It is shown that there is a duality between these two approaches similar to the one found in the symplectic case. However, there are still many open questions which present a waste opportunity for further research. 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

KW - Mathematical modeling

KW - Thermodynamics

KW - Contact geometry

KW - HAMILTONIAN-SYSTEMS

U2 - 10.1016/j.ifacol.2016.10.749

DO - 10.1016/j.ifacol.2016.10.749

M3 - статья

VL - 49

SP - 34

EP - 39

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 24

Y2 - 28 September 2016 through 30 September 2016

ER -

ID: 42932035