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One-dimensional cellular automata are discrete dynamical systems that operate on an infinite lattice of sites and are characterized by the locality and uniformity of their update rule. Permutations of the state set and isometric…

Cellular Automata and Lattice Gases · Physics 2025-12-10 Martin Schaller , Karl Svozil

We propose a simple model of a nanoswitch as a memory resistor. The resistance of the nanoswitch is determined by electron tunneling through a nanoparticle diffusing around one or more potential minima located between the electrodes in the…

Mesoscale and Nanoscale Physics · Physics 2013-04-17 Sergey E. Savel'ev , Fabio Marchesoni , Alexander M. Bratkovsky

We study transmission lines made of memory capacitive (memcapacitive) materials. The transmission properties of these lines can be adjusted on demand using an appropriate sequence of pulses. In particular, we demonstrate a pulse combination…

Mesoscale and Nanoscale Physics · Physics 2016-06-24 Y. V. Pershin , V. A. Slipko , M. Di Ventra

Memristors have been at the forefront of nanoelectronics research for the last decade, offering a valuable component to reconfigurable computing. Their attributes have been studied extensively along with applications that leverage their…

We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.

Probability · Mathematics 2016-04-28 Paolo Dai Pra , Pierre-Yves Louis , Sylvie Roelly

Over the last decade, memristive devices have been widely adopted in computing for various conventional and unconventional applications. While the integration density, memory property, and nonlinear characteristics have many benefits,…

Emerging Technologies · Computer Science 2017-04-21 Dat Tran , Christof Teuscher

The coexistence and coupling between magnetization and electric polarization in multiferroic materials provide extra degrees of freedom for creating next-generation memory devices. A variety of concepts of multiferroic or magnetoelectric…

Materials Science · Physics 2016-06-23 Jianxin Shen , Junzhuang Cong , Dashan Shang , Yisheng Chai , Shipeng Shen , Kun Zhai , Young Sun

This paper introduces a perspective approach for simulating a memristive sensor tailored for low power biological analyte detection. The necessity for such innovation stems from the increasing demand for efficient biosensing technologies…

Applied Physics · Physics 2024-08-13 Manel Bouzouita , Fakhreddine Zayer , Hamdi Belgacem

We consider reversible and surjective cellular automata perturbed with noise. We show that, in the presence of positive additive noise, the cellular automaton forgets all the information regarding its initial configuration exponentially…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-21 Siamak Taati

An elementary cellular automaton with memory is a chain of finite state machines (cells) updating their state simultaneously and by the same rule. Each cell updates its current state depending on current states of its immediate neighbours…

Cellular Automata and Lattice Gases · Physics 2018-03-16 Genaro J. Martinez , Andrew Adamatzky , Kenichi Morita

The present paper investigates state space analysis of memristor based series and parallel RLCM circuits. The stability analysis is carried out with the help of eigenvalues formulation method, pole-zero plot and transient response of…

Emerging Technologies · Computer Science 2016-02-19 T. D. Dongale , P. K. Gaikwad , R. K. Kamat

A simple and unambiguous test has been recently suggested [J. Phys. D: Applied Physics, 52, 01LT01 (2018)] to check experimentally if a resistor with memory is indeed a memristor, namely a resistor whose resistance depends only on the…

Mesoscale and Nanoscale Physics · Physics 2023-10-03 Y. V. Pershin , J. Kim , T. Datta , M. Di Ventra

Human brain dynamics can be profitably viewed through the lens of statistical mechanics, where neurophysiological activity evolves around and between local attractors representing preferred mental states. Many physically-inspired models of…

Neurons and Cognition · Quantitative Biology 2016-09-06 Arian Ashourvan , Shi Gu , Marcelo G. Mattar , Jean M. Vettel , Danielle S. Bassett

We suggest a possible realization of a solid-state memory capacitive (memcapacitive) system. Our approach relies on the slow polarization rate of a medium between plates of a regular capacitor. To achieve this goal, we consider a…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 J. Martinez , M. Di Ventra , Yu. V. Pershin

Multistability-induced hysteresis has been widely studied in mechanical systems, but such behavior has proven more difficult to reproduce experimentally in flow networks. Natural flow networks like animal and plant vasculature can exhibit…

Soft Condensed Matter · Physics 2025-12-03 Lauren E. Altman , Nadia Aguilar , Douglas J. Durian , Miguel Ruiz-Garcia , Eleni Katifori

Resistance switching memory cells such as electrochemical metallization cells and valence change mechanism cells have the potential to revolutionize information processing and storage. However, the creation of deterministic resistance…

Mesoscale and Nanoscale Physics · Physics 2023-10-03 V. A. Slipko , Y. V. Pershin

In a probabilistic cellular automaton in which all local transitions have positive probability, the problem of keeping a bit of information indefinitely is nontrivial, even in an infinite automaton. Still, there is a solution in 2…

Probability · Mathematics 2024-01-26 Peter Gacs

Microtubules (MTs) are important cytoskeletal structures, engaged in a number of specific cellular activities, including vesicular traffic, cell cyto-architecture and motility, cell division, and information processing within neuronal…

Subcellular Processes · Quantitative Biology 2007-05-23 Avner Priel , Arnolt J. Ramos , Jack A. Tuszynski , Horacio F. Cantiello

The Rulkov model, which simulates the behavior of biological neurons, is modified by replacing one of its control parameters with a memristive, sigmoid-type function of finite memory. This modification causes the parameter to vary according…

Chaotic Dynamics · Physics 2026-01-21 Miguel Moreno , Alexandre R. Nieto , Miguel A. F. Sanjuán

We study the effect of metastable states on the relaxation process (and hence information propagation) in locally coupled and boundary-driven structures. We first give a general argument to show that metastable states are inevitable even in…

Condensed Matter · Physics 2009-10-31 M. P. Anantram , Vwani P. Roychowdhury
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