1998/06/30 by Mulugeta Bekele, S. Rajesh, G. Ananthakrishna +1 · 24 citations
Chemistry · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bistability #Chemistry #Classical mechanics #Composite material #Condensed matter physics #Function (biology) #Kinetic energy #Kinetics #Materials science #Mechanics #Physics #Position (finance) #Quantum mechanics #Rate equation #Rectangular potential barrier #Smoluchowski coagulation equation #Spectroscopy and Quantum Chemical Studies #Thermodynamics #Torch #cond-mat #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.59.143
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 59(1), 143-149 (American Physical Society) · 15 pages in LaTeX format and 6 figures in postscript E-Mail : [email protected] [email protected]
arxiv created 1998/09/24 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The kinetic aspect of Landauer's blow-torch effect is investigated for a model double-well potential with localized heating. Using the supersymmetric approach, we derive an approximate analytical expression for the equilibration rate as a function of the strength, width, and the position of the hot zone, and the barrier height. We find that the presence of the hot zone enhances the equilibration rate, which is found to be an increasing function of the strength and width of the hot zone. Our calculations also reveal an intriguing result, namely, that placing the hot zone away from the top of the potential barrier enhances the rate more than when it is placed close to it. A physically plausible explanation for this is attempted. The above analytical results are borne out by detailed numerical solution of the associated Smoluchowski equation for the inhomogeneous medium.