Glow discharge based device for solving mazes

Дубинов, А. Е.; Maksimov, A. N.; Mironenko, M. S.; Pylayev, Nikolay A.; Селемир, В. Д.

doi:10.1063/1.4894677

Cited by 15 publications

(13 citation statements)

References 18 publications

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“…Due to the great impact of plasma as a component in modern image viewing devices, the investigation of plasma tubes is of considerable interest. Additional applications of interest involve microfluidic chips proposed for visible analog computing 10 and the ability of glow discharges to find the shortest way through a maze 11 .…”

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confidence: 99%

Complex dynamics of a dc glow discharge tube: Experimental modeling and stability diagrams

Pugliese

Meucci

Euzzor

et al. 2015

Sci Rep

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We report a detailed experimental study of the complex behavior of a dc low-pressure plasma discharge tube of the type commonly used in commercial illuminated signs, in a microfluidic chip recently proposed for visible analog computing, and other practical devices. Our experiments reveal a clear quasiperiodicity route to chaos, the two competing frequencies being the relaxation frequency and the plasma eigenfrequency. Based on an experimental volt-ampere characterization of the discharge, we propose a macroscopic model of the current flowing in the plasma. The model, governed by four autonomous ordinary differential equations, is used to compute stability diagrams for periodic oscillations of arbitrary period in the control parameter space of the discharge. Such diagrams show self-pulsations to emerge remarkably organized into intricate mosaics of stability phases with extended regions of multistability (overlap). Specific mosaics are predicted for the four dynamical variables of the discharge. Their experimental observation is an open challenge.A n outstanding problem is to understand and control the complex chaotic behaviors commonly observed in glow discharge plasma tubes. From an experimental point of view, the first observations of deterministic chaos 1 , mixed-mode oscillations and homoclinic chaos in discharge tubes 2 date back more than twenty years ago. Currently, much attention has been focused on the generic problem of phase synchronization using these devices. In particular, phase synchronization has been demonstrated under different conditions [3][4][5] . More recently, the transition to chaos and constructive effects of noise, such as stochastic resonance and coherence resonance, have been reported in plasma tubes [6][7][8][9] . All aforementioned works have in common the feature of using discharge tubes specifically built for research: Geissler's tubes, Plücker's tubes, and so on. Conversely, in this work, we present an application of nonlinear dynamics to study the behavior of a popular device not designed specifically for research purposes. Due to the great impact of plasma as a component in modern image viewing devices, the investigation of plasma tubes is of considerable interest. Additional applications of interest involve microfluidic chips proposed for visible analog computing 10 and the ability of glow discharges to find the shortest way through a maze 11 .Electrical discharges have been continuously the subject of innumerous works and much is known about them [12][13][14][15][16] . From a theoretical point of view, discharges have been traditionally described taking into account the complex processes involved in the plasma recombination and electric conductivity. Such descriptions require the use of coupled partial differential equations involving spatial and time variables, the transport of momentum and energy of plasma components, the continuity equation, diffusion equation, Poisson equation, etc. This means that a realistic description is generally quite involved. However, a fair descr...

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confidence: 99%

Complex dynamics of a dc glow discharge tube: Experimental modeling and stability diagrams

Pugliese

Meucci

Euzzor

et al. 2015

Sci Rep

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“…It is amazing that even with such a tricky geometry of the labyrinth, plasma is capable to find the optimal way out! Moreover, the shortest path includes sections that require electrons to move away from the anode, the voltage needed to initiate a discharge drops …”

Section: Resultsmentioning

confidence: 99%

A Novel Insight on the Geometry of Plasma Channels of Nanosecond Micron-Size Discharges on the Surface of Living Tissues of Plants

Kozhayeva

Lyubimtseva

Zuimatch

et al. 2014

Plasma Process. Polym.

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This paper describes the chip that is used for generating nanosecond surface micron-size discharges, as well as the results of observations of their interaction with surfaces of living tissues of plants: onion shell, leaves of Canada water weed, and day nettle petals. The interaction was observed for the first time in cellular size range. It was identified that the trajectories of plasma discharge channels follow intercellular walls and have a zigzag shape. It was also identified that a single discharge having <0.5 mJ energy results in destruction of cell wall, which stimulates intensive juice excretion.

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“…It is thus not surprising that the geometric and topological complexity of a maze and its solutions (i.e., one or more paths leading from the entrance to the exit) serves as a model configuration in many areas of science and technology (e.g., logistics, robot control, neuroscience, etc.). It has been shown that besides humans, animals, and computer algorithms, some amoeboid organisms [1][2][3], and even nonliving, synthetic constructs are 'able' to solve mazes [1][2][3][4][5][6][7][8][9][10][11][12]. Such chemical, physical or biological systems are initially in a non-equilibrium thermodynamic state with a spatial gradient of some thermodynamic variable, e.g., temperature, chemical potential, pressure, electric or magnetic field, which induces a flow of matter (momentum) or energy within the system to reach its equilibrium state.…”

Section: Introductionmentioning

confidence: 99%

“…Microfluidic networks are often solved by imposing a pressure gradient across the corresponding maze [4] between the entrance and the exit so that the pressure-induced flow has the largest amplitude along the shortest path. An electric field gradient was used to induce a glow discharge in gas-filled microchannels and to identify the shortest path in mazes or urban city maps [5,6]; in a medium conducting electric current the shortest path is characterized by the largest gradient of the electric field which ionizes a gas and induces a plasma glow. Maze solving by a network of memristors is also based on the presence of an electric potential gradient [7].…”

Section: Introductionmentioning

confidence: 99%

Marangoni Flow Driven Maze Solving

Suzuno

Ueyama

Branicki

et al. 2016

Emergence, Complexity and Computation

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Algorithmic approaches to maze solving problems and finding shortest paths are generally NP-hard (Non-deterministic Polynomial-time hard) and thus, at best, computationally expensive. Unconventional computational methods, which often utilize non-local information about the geometry at hand, provide an alternative to solving such problems much more efficiently. In the past few decades several chemical, physical and other methods have been proposed to tackle this issue. In this chapter we discuss a novel chemical method for maze solving which relies on the Marangoni flow induced by a surface tension gradient due to a pH gradient imposed between the entrance and exit of the maze. The solutions of the maze problem are revealed by paths of a passive dye which is transported on the surface of the liquid in the direction of the acidic area, which is chosen to be the exit of the maze. The shortest path is visualized first, as the Marangoni flow advecting the dye particles is the most intense along the shortest path. The longer paths, which also solve the maze, emerge subsequently as they are associated with weaker branches of the chemically-induced Marangoni flow which is key to the proposed method.

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Glow discharge based device for solving mazes

Cited by 15 publications

References 18 publications

Complex dynamics of a dc glow discharge tube: Experimental modeling and stability diagrams

Complex dynamics of a dc glow discharge tube: Experimental modeling and stability diagrams

A Novel Insight on the Geometry of Plasma Channels of Nanosecond Micron-Size Discharges on the Surface of Living Tissues of Plants

Marangoni Flow Driven Maze Solving

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