‎hensel [k‎. ‎hensel‎, ‎deutsch‎. ‎math‎. ‎verein‎, ‎{6} (1897), ‎83-88.] discovered the $p$-adic number as a‎ ‎number theoretical analogue of power series in complex analysis‎. ‎fix ‎a prime number $p$‎. ‎for any nonzero rational number $x$‎, ‎there‎ ‎exists a unique integer $n_x inmathbb{z}$ such that $x = ‎frac{a}{b}p^{n_x}$‎, ‎where $a$ and $b$ are integers not divisible by ‎$p$‎. ‎then $|x...

Kuo Kan Liang 1 Research Center for Applied Sciences, Academia Sinica, 128 Academia Road, Section 2, Nankang, Taipei 115-29, Taiwan and 2 Department of Biochemical Science and Technology, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617 Taiwan∗ Abstract In this work we focused on the kinetics of a one-dimensional Ising system (1DIS) with constant nearest-neighbor interac...

In nanotechnologies, quantum-dot cellular automata (QCA) offer promising and attractive features for nano-scale computing. QCA effectively overcomes the scaling shortfalls of CMOS technology. One of the variants of QCA is 4 Dot 2 Electron QCA which is well explored and researched. The main concentration of this study is on 2 Dot 1 Electron QCA, an emerging variant of QCA. A novel and efficient ...

In this work, we focused on the kinetics of a one-dimensional Ising system (1DIS) with constant nearest-neighbor interaction (NNI). The exact solution both thermodynamics and under quasi-chemical approximation (QCA) had been shown in literature, equilibrium was exact. it discussed why QCA applied best case 1DIS NNI. Furthermore, extension made to discuss that due special reason, perhaps is corr...

This paper proposes a SPICE model development methodology for quantum-dot cellular automata (QCA) cells and presents a SPICE model for QCA cells. The model is validated by simulating the basic logic gates such as inverter and majority voter. The proposed model makes it possible to design and simulate QCA combinational circuits and hybrid circuits of QCA and other NANO devices using SPICE. In th...

We give a one-dimensional quantum cellular automata (QCA) capable of simulating all others. By this we mean that the initial configuration and the local transition rule of any one-dimensional QCA can be encoded within the initial configuration of the universal QCA. Several steps of the universal QCA will then correspond to one step of the simulated QCA. The simulation preserves the topology in ...

We report an experimental demonstration of a functional cell for quantum-dot cellular automata ~QCA!, a transistorless approach to implement logic functions. The four-dot QCA cell is defined by a pair of series-connected, capacitively coupled input and output double dots. We demonstrate that, at low temperature, an electron switch in the input double dot induces an opposite electron switch in t...

Quantum dot cellular automata(QCA) shows promise as a post silicon CMOS,low power computational technology.Nevertheless,to generalize QCA for next generation digital devices,the ability to implement conventional programmable circuits based on NOR,AND and OR gates is necessary.We devise a new QCA structure,the QCA multiplier,employing the five quantum dot QCA cell.The structure can multiply two ...

In order to design large digital circuits using Quantum-Dot Cellular Automata(QCA) cells, CAD tools and automated design methodology for QCA circuits are essential. This paper presents a QCA circuits design methodology based on traditional CMOS circuits design flow. This QCA circuits design methodology utilizes the current CMOS circuits design tools such as HSPICE and Synopsys Design Compiler. ...