TY - CHAP

T1 - Specific Features of Processes Far from Equilibrium

AU - Хантулева, Татьяна Александровна

N1 - Bibliographic Information • Book Title Mathematical Modeling of Shock-Wave Processes in Condensed Matter • Book Subtitle From Statistical Thermodynamics to Control Theory • Authors Tatiana Aleksandrovna Khantuleva • Series Title Shock Wave and High Pressure Phenomena • DOI https://doi.org/10.1007/978-981-19-2404-0 • Publisher Springer Singapore • eBook Packages Physics and Astronomy, Physics and Astronomy (R0) • Copyright Information The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022 • Hardcover ISBN 978-981-19-2403-3 • eBook ISBN 978-981-19-2404-0 • Series ISSN 2197-9529 • Series E-ISSN 2197-9537 • Edition Number1 • Number of Pages XV, 336 • Number of Illustrations 19 b/w illustrations, 58 illustrations in colour • Topics Statistical Physics, Classical and Continuum Physics, Condensed Matter, Solid Mechanics

PY - 2022/7/19

Y1 - 2022/7/19

N2 - Modern understanding of non-equilibrium processes in distributed systems based on experimental data, obtained with use of high-precision instruments, is fundamentally different from the previously common opinion that non-equilibrium processes are irreversible non-stationary processes that can be described by partial differential equations. Attempts to apply conventional mathematical models of continuum mechanics far from thermodynamic equilibrium led to serious errors. The main problem is that all physical concepts are related to the system states near local equilibrium and a generalization of one concept implies the revision of all fundamentals of thermodynamics. In order to avoid contradictions, understanding of special features characterizing the system response to an external perturbation out of equilibrium is needed for mathematical modeling.In this chapter, we list and briefly describe those features that distinguish dynamic processes far from local equilibrium from quasi-static near-equilibrium processes. The influence of each of these non-equilibrium effects will be considered separately and the information currently available to describe it is given.

AB - Modern understanding of non-equilibrium processes in distributed systems based on experimental data, obtained with use of high-precision instruments, is fundamentally different from the previously common opinion that non-equilibrium processes are irreversible non-stationary processes that can be described by partial differential equations. Attempts to apply conventional mathematical models of continuum mechanics far from thermodynamic equilibrium led to serious errors. The main problem is that all physical concepts are related to the system states near local equilibrium and a generalization of one concept implies the revision of all fundamentals of thermodynamics. In order to avoid contradictions, understanding of special features characterizing the system response to an external perturbation out of equilibrium is needed for mathematical modeling.In this chapter, we list and briefly describe those features that distinguish dynamic processes far from local equilibrium from quasi-static near-equilibrium processes. The influence of each of these non-equilibrium effects will be considered separately and the information currently available to describe it is given.

KW - non-equilibrium, internal structure, multi-scale processes, multi-stage relaxation, inertia, instability, self-organization

UR - https://www.mendeley.com/catalogue/a5f9c9a0-cbf3-3634-8fd1-b0093565dc2e/

U2 - 10.1007/978-981-19-2404-0_2

DO - 10.1007/978-981-19-2404-0_2

M3 - Chapter

SN - 978-981-19-2403-3

T3 - Shock Wave and High Pressure Phenomena

SP - 31

EP - 63

BT - Mathematical Modeling of Shock-Wave Processes in Condensed Matter

PB - Springer Nature

CY - Singapore

ER -