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| viXra.org > Mathematical Physics > 2302 |
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[4] viXra:2302.0070 [pdf] submitted on 2023-02-15 22:35:26
Authors: Ervin Goldfain
Comments: 11 Pages.
Complex Ginzburg-Landau equation (CGLE) is a universal model of nonequilibrium dynamical systems. Focusing on the primordial stages of cosmological evolution, this work points out that the connection between CGLE and the Navier-Stokes (NS) equation bridges the gap between fluid flows and the mathematics of General Relativity (GR).
Category: Mathematical Physics
[3] viXra:2302.0055 [pdf] submitted on 2023-02-12 23:58:03
Authors: Makoto Itoh
Comments: Pages.
It is well known that memristors can be classified into the four classes according to the complexity of their mathematical representation. Furthermore, the four classes of memristors are used to qualitatively simulate many of the experimentally measured pinched hysteresis loops. In this paper, we define the 2-terminal devices, which do not belong to the above four classes of memristors, but have the same non-volatile property as the ideal memristor. We then study the non-volatile mechanism of these devices and the memristors that can retain the previous value of the state even when the driving signal is set to zero. We show that the ideal generic memristors and the generalized 2-terminal devices can have interesting applications: non-volatile multi-valued memories and two-element chaotic oscillators, if we remove the condition that no state change occurs after the zero driving signal. We also show that the 2-terminal devices and the four classes of memristors can exhibit a wide variety of pinched hysteresis loops similar to those measured experimentally. Furthermore, we show that a wide variety of Lissajous curves are possible, depending on whether the direction of the Lissajous curve is clockwise or counterclockwise and which quadrants the Lissajous curve passes through.
Category: Mathematical Physics
[2] viXra:2302.0027 [pdf] submitted on 2023-02-07 12:11:02
Authors: Vitaliy Budarin
Comments: 9 Pages.
The method is based on the use of geometry rules for a continuous medium in the form of the Saint-Venant equations. The article transforms the compatibility equations in order to use them in fluid mechanics. The transformation is performed within the framework of the averaged turbulence model and does not use additional restrictions. The resulting compatibility equations for a liquid take into account the influence of the linear (ux, uy, uz) and angular (ωx, ωy, ωz) particle rotation speeds. This means that they describe the turbulent flow mode. Using the conditions ω = 0 or u = 0 allows us to obtain two special cases that are designed for laminar flow and vortex flow with a fixed axis.
Category: Mathematical Physics
[1] viXra:2302.0016 [pdf] replaced on 2023-02-18 10:17:06
Authors: Ervin Goldfain
Comments: 12 Pages.
The time dependent Ginzburg Landau equation (TGLE) is a prototype model of non-equilibrium statistical physics and critical phenomena. This brief report points out that, applying TGLE to the chaotic dynamics of interacting fields hints to unexpected solutions to the challenges confronting high-energy theory.
Category: Mathematical Physics
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