![]() ![]() The dynamical changes of the physical states of memristors with input voltages and their memory-holding abilities may revolutionize our understanding associated with the functionality of human brain and may also be applicable to nanotechnology. Our computational method is based on a set of coupled rate equations, where additional mechanisms of opening and closing specific sodium and potassium ion channels are incorporated. Here we show that quantum conduction via correlated sodium and potassium ion channels will generate memristive transport characteristics. Memristors may operate simultaneously as logic elements and memory storage devices. ![]() Our project explores and redefines memristors, which are viewed as two-terminal electronic devices with current-voltage dependences in the form of pinched hysteretic loops or Lissajous figures. If all mental functions and properties belong to physical reality, then it is definitely possible to build physics-based models to mathematically describe the learning and decision-making processes in the human brain. Understanding and gaining control of coherent manipulations of qubits (two-level quantum systems) is crucial for further development of quantum informatics. ![]() For instance, the non-equilibrium conditions may establish and maintain certain degree of coherence between correlated quantum states which are involved into the energy conduction process. Since the applicability of Fourier’s law is questionable at nanoscale and in the case of transient heat conduction, we pay particular attention to the new physics of post-Fourier heat transport and its further consequences. Such dynamics is captured by non-steady-state solutions to time-dependent Schrödinger equation or by specific solutions of interrelated Pauli rate equations. Our results show the specific modifications of heat transport characteristics due to the dynamics of quantum systems under consideration. Nanoscale transport is treated within the first-principles method by including the superposed wave functions into the quantum expression for heat flux. In this project, we examine heat transfer via quantum advection modes (coherently correlated quantum states) between two thermal baths of different temperatures mediated by quantum system with disc rete spectrum of accessible energy levels. ![]()
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