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Quantum-Classical Transition Analogy of the Diffusion-Mobility Relation for Hopping and Band Transport Systems:
1Department of Physics, Centre for Research and Development (CFRD), KPR Institute of Engineering and Technology, Coimbatore 641407, India.
Abstract:
We propose a quantum-classical transition analogy for Einstein's diffusion-mobility (D/μ) relation to reveal electron-hole dynamics in both the degenerate and nondegenerate molecular and material systems. Here, one-to-one variation between differential entropy and chemical potential (Δη/Δhs) is the proposed analogy, which unifies quantum and classical transport. The degeneracy stabilization energy on D/μ decides whether the transport is quantum or classical; accordingly, the transformation occurs in the Navamani-Shockley diode equation.
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