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Vladimir Nikolajevich Pokrovskii (; born 11 May 1934) is a Russian scientist known for his contributions to
polymer physics Polymer physics is the field of physics that studies polymers, their fluctuations, mechanical properties, as well as the kinetics of reactions involving degradation of polymers and polymerisation of monomers.P. Flory, ''Principles of Polymer Che ...
and economic theory.


Education and career

Pokrovskii was born on 11 May 1934 into a Russian family in the rural locality Altayskoye, Altaysky District, Altai Krai (Russian: Алтайское, Алтайского края), Russia. He graduated from Tomsk State University in Siberia as a physicist in 1958 and in the same year was employed as a teacher of physics at Tomsk Polytechnic University. In 1964 he moved to the Institute of Chemical Physics of the Academy of Sciences of the USSR ( Chernogolovka, Moscow region) as a senior research fellow, where he engaged in the study of suspensions and polymers. He received the Candidate of Sciences degree (1968) and the Doctor of Sciences (1977) in physics and mathematics. Since 1980, he has managed the department of applied mathematics of the Altai Polytechnic Institute (now
Altai State Technical University The leading technological and scientific university of the Altai Krai, Altai region, Altai State Technical University (AltSTU) is one of a number of universities in the city of Barnaul, Altai Krai, Russia, and is among the largest institutions ...
), (
Barnaul Barnaul (, ) is the largest types of inhabited localities in Russia, city and administrative centre of Altai Krai, Russia, located at the confluence of the Barnaulka and Ob (river), Ob rivers in the West Siberian Plain. As of the Russian Censu ...
, Russia), and in 1981 he was appointed professor of applied mathematics. From 1987-1995 he was professor and head of the department of applied mathematics at Moscow University of Economics, Statistics and Informatics (МЭСИ, the Russian abbreviation). He worked on methods for modelling economic processes and undertakes studies in the field of the mathematical description of economic growth, focused on better understanding the role of energy and the formulation of a generalized labour theory of value. Since 1995 Vladimir Nikolaevich has been a visiting professor at Maltese University. He gives lectures on statistical physics and is engaged in research work. He now (2021) lives with his wife in Moscow, and writes about his life in 'Notes'


Research


Dynamics of suspensions

In order to describe the dynamic behaviour of polymer solutions and molecular liquids, suspensions of rigid or semi-rigid particles were used as simple heuristic models. The development of
constitutive equations In physics and engineering, a constitutive equation or constitutive relation is a relation between two or more physical quantities (especially kinetic quantities as related to kinematic quantities) that is specific to a material or substance o ...
of the flowing dilute suspension of rigid ellipsoids was apparently the first example of microrheological
constitutive equations In physics and engineering, a constitutive equation or constitutive relation is a relation between two or more physical quantities (especially kinetic quantities as related to kinematic quantities) that is specific to a material or substance o ...
of
complex fluid Complex fluids are mixtures that have a coexistence between two Phase (matter) , phases: solid–liquid (Suspension (chemistry) , suspensions or solutions of macromolecules such as polymers), solid–gas (Granular material, granular), liquid–gas ...
. The rigid ellipsoids model was also used to explain optical anisotropy and relaxation phenomena of the molecular systems. The suspension of rigid particles in an anisotropic fluid provides a qualitative description of behaviour of
liquid crystals Liquid crystal (LC) is a state of matter whose properties are between those of conventional liquids and those of solid crystals. For example, a liquid crystal can flow like a liquid, but its molecules may be oriented in a common direction as i ...
.


Polymer dynamics

According to earlier work by Sam Edwards and
Pierre-Gilles de Gennes Pierre-Gilles de Gennes (; 24 October 1932 – 18 May 2007) was a French physicist and the Nobel Prize laureate in physics in 1991. Education and early life He was born in Paris, France, and was home-schooled to the age of 12. By the age of ...
, the properties of certain linear
polymers A polymer () is a substance or material that consists of very large molecules, or macromolecules, that are constituted by many repeating subunits derived from one or more species of monomers. Due to their broad spectrum of properties, b ...
could be modeled as a reptation, a special movement of a long macromolecule among other macromolecules in the manner of a snake. Pokrovskii and his collaborators developed the theory of stochastic thermal motion of long
macromolecules A macromolecule is a "molecule of high relative molecular mass, the structure of which essentially comprises the multiple repetition of units derived, actually or conceptually, from molecules of low relative molecular mass." Polymers are physi ...
among similar macromolecules (in the entangled system) and confirmed the existence of reptation in the region of molecular mass above 10 times the length between 'entanglements' and identified the internal relaxation processes in polymers from the molecular point of view. The theory is applicable to the theory of
viscoelasticity In materials science and continuum mechanics, viscoelasticity is the property of materials that exhibit both viscous and elastic characteristics when undergoing deformation. Viscous materials, like water, resist both shear flow and strain lin ...
, diffusion and a number of other features of linear polymeric materials.


Econodynamics

Economic dynamics is an
empirical science In philosophy, empiricism is an epistemological view which holds that true knowledge or justification comes only or primarily from sensory experience and empirical evidence. It is one of several competing views within epistemology, along ...
that studies emergences, motion and disappearance of value—a specific concept that is used for description of the processes of creation and distribution of
wealth Wealth is the abundance of valuable financial assets or physical possessions which can be converted into a form that can be used for transactions. This includes the core meaning as held in the originating Old English word , which is from an ...
. The theory is formulated as empirical science on the creation, motion and disappearance of value, which can also be considered as technological theory of social production. Any economic theory deals with the interpretation of economic processes based on the law of production of value, and various scientific approaches differ in the choice of factors of production that determine, in the end, the creation of wealth. Marxists insist that only labor creates value, neoclassicists believe that, in addition to labor, capital must also be taken into account as the important source of value. Econodynamics demonstrates, and this is an achievement of V.N. Pokrovskii, that the observed substitution of labour by capital is, in fact, the substitution of labour by work of external energy sourses, and the statement about the productive power of capital is a hoax that hides the real role of labor and energy in the production of value. Human effort and the work of external energy sources appears to be the true sources of value; productivity of capital is eventually productivity of working people and substitutive work. It has led to the understanding of the role of energy and, eventually, to the generalization of the
labour theory of value The labor theory of value (LTV) is a theory of value that argues that the exchange value of a good or service is determined by the total amount of " socially necessary labor" required to produce it. The contrasting system is typically known as ...
. Econodynamics offers a more adequate interpretation of economic growth and other phenomena. Econodynamics is based on the achievements of classical
political economy Political or comparative economy is a branch of political science and economics studying economic systems (e.g. Marketplace, markets and national economies) and their governance by political systems (e.g. law, institutions, and government). Wi ...
and neo-classical
economics Economics () is a behavioral science that studies the Production (economics), production, distribution (economics), distribution, and Consumption (economics), consumption of goods and services. Economics focuses on the behaviour and interac ...
and has been using the methods of phenomenological science to investigate evolution of
economic system An economic system, or economic order, is a system of production, resource allocation and distribution of goods and services within an economy. It includes the combination of the various institutions, agencies, entities, decision-making proces ...
. Econodynamics has been proposing methods of analysis and forecasting of
economic processes An economy is an area of the production, distribution and trade, as well as consumption of goods and services. In general, it is defined as a social domain that emphasize the practices, discourses, and material expressions associated with ...
. The comprehensive review of the problems of econodynamics is available.


Dynamics of complex thermodynamic systems

To consider the
complex systems A complex system is a system composed of many components that may interact with one another. Examples of complex systems are Earth's global climate, organisms, the human brain, infrastructure such as power grid, transportation or communication s ...
with some internal structure, such as polymers, living organisms, social organisations and so on, V.N. Pokrovskii reformulated the principles of
nonequilibrium thermodynamics Non-equilibrium thermodynamics is a branch of thermodynamics that deals with physical systems that are not in thermodynamic equilibrium but can be described in terms of macroscopic quantities (non-equilibrium state variables) that represent an ex ...
, using the concept of internal variables that describe deviations of
thermodynamic systems A thermodynamic system is a body of matter and/or radiation separate from its surroundings that can be studied using the laws of thermodynamics. Thermodynamic systems can be passive and active according to internal processes. According to inter ...
from the equilibrium state. Considering the first law of thermodynamics, work of internal variables is introduced and internal thermal energy of non-equilibrium systems is taken into account. It is shown that the requirement that the thermodynamic system cannot fulfil any work via internal variables is equivalent to the conventional formulation of the
second law of thermodynamics The second law of thermodynamics is a physical law based on Universal (metaphysics), universal empirical observation concerning heat and Energy transformation, energy interconversions. A simple statement of the law is that heat always flows spont ...
. These statements, in line with the axioms introducing internal variables can be considered as basic principles of nonequilibrium thermodynamics. It is shown that known linear parities between thermodynamic forces and fluxes and also the
entropy production Entropy production (or generation) is the amount of entropy which is produced during heat process to evaluate the efficiency of the process. Short history Entropy is produced in irreversible processes. The importance of avoiding irreversible p ...
, as a sum of products of thermodynamic forces and fluxes, are consequences (valid only in linear area and for steady-state situations) of fundamental principles of thermodynamics. Among the numerous applications of non-equilibrium thermodynamics, it appears to be a description of
living organism An organism is any life, living thing that functions as an individual. Such a definition raises more problems than it solves, not least because the concept of an individual is also difficult. Many criteria, few of them widely accepted, have be ...
as an open thermodynamic system, which allows formulating the thermodynamic equation of growth


References

{{DEFAULTSORT:Pokrovskii, Vladimir Russian physicists 1934 births Living people Tomsk State University alumni People from Altai Krai