Neutron refractive index of liquid mixtures in the critical region

Bulavin, L. A.; Chalyi, A. V.; Chalyy, K. A.; Chernenko, L. M.; Godinskii, K.K.; Северин, А. В.

doi:10.1016/j.molliq.2011.05.001

Cited by 3 publications

(3 citation statements)

References 4 publications

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“…For spatially bounded systems, for which 𝐿 ≈ 𝜉, to this list of identical features, the following should be added: 5) the same type of geometry of the system or, in other words, the lower crossover dimension 𝑑 cros (𝑑 cros = 2 for a slitlike, plane-parallel pore, 𝑑 cros = 1 for a cylindric pore, 𝑑 cros = 0 for a bounded sphere or cube), 6) the same type of boundary conditions (hygrophylic, hydrophobic, partially wetting), 7) the same physical properties under consideration [2,33,40,[49][50][51].…”

Section: The Concept Of Universality Classes Near Bifurcation (Critic...mentioning

confidence: 99%

Physical Aspects of 2014 Nobel Prize in Physiology or Medicine: 2. The First Principle and Universality Class for Grid Cells in the Brain

Chalyi,

Zaitseva

et al. 2023

Ukr. J. Phys.

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The main purpose of this review article is to use the fluctuation theory of phase transitions for studying the process of the emergence of hexagonal grid cells in the brain (2014 Nobel Prize in Physiology or Medicine). Particular attention is paid to the application of the Feynman’s classification of three stages of the study of natural phenomena for: 1) a brief description of the experimental stage of the discovery of the hexagonal structures of grid cells in human and animal brains; 2) the theoretical stage of research on the hexagon formation in the physical system of Benard cells, as well as the neurophysiological system of grid cells, discovered by Edward Mozer and May-Britt Mozer; 3) the most important stage, which allows one to formulate the first principle of the emergence of grid cells in the brain and, generally speaking, the first principle for the hexagon formation in different objects of inanimate and living nature. Our original theoretical findings are the following: (a) Polyakov’s conformal invariance hypothesis is violated for a system of grid cells in the brain; (b) the system of grid cells in the brain belongs to the universality class including the 3D Ising model in a magnetic field, as well as a real classical liquid-vapor system;(c) to formulate the first principle for a reliable theoretical justification of the emergence of hexagonal grid cells in the brain, it is necessary to use the fluctuating part of Gibbs thermodynamic potential (the Ginzburg–Landau Hamiltonian) for a system with chemical (biochemical) reactions.

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Section: The Concept Of Universality Classes Near Bifurcation (Critic...mentioning

confidence: 99%

Physical Aspects of 2014 Nobel Prize in Physiology or Medicine: 2. The First Principle and Universality Class for Grid Cells in the Brain

Chalyi,

Zaitseva

et al. 2023

Ukr. J. Phys.

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“…The crossover (transitional) phenomena describing the nature of the critical behavior changes on approaching from a vicinity of one phase-transition point to another one (for example, from the critical to the tricritical point or the crossover events between the Ising model and the Heisenberg model critical behaviors) was discussed in a number of works [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

“…A consistent treatment of such kinds of crossover phenomena in nanoscale condensed systems requires to consider the problem of universality classes, for which one has specific conditions of a similar critical behavior of different physical properties. As is known [1,2,[15][16][17][18][19][20][21][22][23][24][25][26][27][28], these conditions of unversality classes for While changing one (or more) of these four conditions, the crossover phenomena may appear in the bulk,as well as in systems under confinement. In the latter case, i.e.…”

Section: Introductionmentioning

confidence: 99%

Dimensional Crossover and Thermophysical Properties of Nanoscale Condensed Matter

Chalyi¹,

Зайцева²,

Chalyy³

et al. 2015

Ukr. J. Phys.

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The problem going to be discussed is as follows: how results for 3𝐷 systems transfer to results for 2𝐷 systems and vice versa. Obviously, such a 3𝐷 ⇔ 2𝐷 dimensional crossover should be smooth and without discontinuities. Here, this problem is studied for a single-component classical liquid in a reduced geometry, namely for slit-like and cylindrical pores with the lower crossover dimensionality 𝐷cros = 2 and 𝐷cros = 1, correspondingly, which are filled by water molecules. The influence of the 3𝐷 ⇔ 2𝐷 dimensional crossover on the effective critical exponents 𝛼 eff , 𝜈 eff , 𝛾 eff and on the thermophysical properties such as the heat capacity 𝐶𝑉 and the isothermal compressibility 𝛽𝑇 is investigated. K e y w o r d s: dimensional crossover, confined systems, effective critical exponents, isochoric heat capasity, isothermal compressibility.

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