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Reversibility is a widely accepted principle in physics, according to which, the microscopic laws governing the dynamics of the physical nature can hypothetically be reversed to let the system run backward in time. Reversible cellular automata (CA) have been extensively studied as convenient tools for modeling physical systems, whenever capturing the microscopic reversibility is desirable (see ...

We study harmonic functions on random environments with particular emphasis on the case of the infinite cluster of supercritical percolation on Z. We prove that the vector space of harmonic functions growing at most linearly is (d+ 1)-dimensional almost surely. Further, there are no nonconstant sublinear harmonic functions (thus implying the uniqueness of the corrector). A main ingredient of th...

Many universal reversible libraries that contain more than one gate type have been proposed in the literature. Practical implementation of reversible circuits is much easier if a single gate type is used in the circuit construction. This paper proposes a reversible n-bit gate that is universal for reversible circuits synthesis. The proposed gate is extendable according to the size of the circui...

Second Law analyses of ejector performance have rarely been conducted in literature. Many measures of ejector efficiency have not always been clearly defined and the rationale underlying and justifying current performance metrics is often unclear. One common means of assessing performance is to define a thermodynamically reversible reference process against which real processes may be benchmark...

Reversible logic is one of the new paradigms for power optimization that can be used instead of the current circuits. Moreover, the fault-tolerance capability in the form of error detection or error correction is a vital aspect for current processing systems. In this paper, as the multiplication is an important operation in computing systems, some novel reversible multiplier designs are propose...

Rubbing is applied on thiophene-based organic semiconductor crystalline thin films to induce a reversible mechanical amorphisation. causes fluorescence switching regulated by the polymorphic nature of film. The process thermal annealing.

O. Intr~cluction In this paper, we describe the linguistic solutions to some of the problems encountered in writing a reversible French grammar. This grammar is primarily intended to be one of the components of a machine translation system built using ELU, 1 an enhanced PATR-II style unification grammar linguistic environment based on the LID system described in Johnson and Rosner (1989), but i...

The paper discusses the asymptotic depth of a reversible circuit consisting of NOT, CNOT and 2-CNOT gates. Reversible circuit depth function $D(n, q)$ for a circuit implementing a transformation $f\colon \mathbb Z_2^n \to \mathbb Z_2^n$ is introduced as a function of $n$ and the number of additional inputs $q$. It is proved that for the case of implementing a permutation from $A(\mathbb Z_2^n)$...