2006/05/26 by Ernesto Gonzalez-Candela, Ernesto González-Candela, Vı́ctor Romero-Rochı́n +1 · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Biological system #Biology #Classical mechanics #Computer science #Dimension (graph theory) #Engineering #Folding (DSP implementation) #Kinesin #Mathematics #Microtubule #Noise (video) #Physics #Protein folding #Quantitative biology #Quantum mechanics #Ratchet #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.soft #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1016/j.physa.2006.08.060
published in Physica A Statistical Mechanics and its Applications 372(2), 249-262 (Elsevier BV) · 21 pages, 14 figures
arxiv created 2006/05/26 · openalex publication_date 2006/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The overdamped thermal ratchet driven by an external (Orstein-Uhlenbeck) noise is revisited. The ratchet we consider is unbounded in space and not necessarily periodic . We briefly discuss the conditions under which current is obtained by analyzing the corresponding Fokker-Planck equation and its lack of stationary states. Next, two examples in more than one dimension and related to biological systems are presented. First, a two-dimensional model of a ``kinesin protein'' on a ``microtubule'' is analyzed and, second, we suggest that a ratchet mechanism may be behind the folding of proteins; the latter is elaborated with a multidimensional ratchet model.