Exploratory behavior, trap models, and glass transitions
Fecha
2004Abstract
A random walk is performed on a disordered landscape composed of N sites randomly and uniformly distributed inside a d-dimensional hypercube. The walker hops from one site to another with probability proportional to exp[−βE(D)], where β=1/T is the inverse of a formal temperature and E(D) is an arbitrary cost function which depends on the hop distance D. Analytic results indicate that, if E(D)=Dd and N→∞, there exists a glass transition at βd=nd/2/[(d/2)r(d/2)]. Below Td, the average trapping ti ...
A random walk is performed on a disordered landscape composed of N sites randomly and uniformly distributed inside a d-dimensional hypercube. The walker hops from one site to another with probability proportional to exp[−βE(D)], where β=1/T is the inverse of a formal temperature and E(D) is an arbitrary cost function which depends on the hop distance D. Analytic results indicate that, if E(D)=Dd and N→∞, there exists a glass transition at βd=nd/2/[(d/2)r(d/2)]. Below Td, the average trapping time diverges and the system falls into an out-of-equilibrium regime with aging phenomena. A Lévy flight scenario and applications of exploratory behavior are considered. ...
En
Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 69, no. 1 (Jan. 2004), 017101, 4 p.
Origen
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