Zobrazeno 1 - 10
of 194
pro vyhledávání: '"BRAY, ALAN"'
Publikováno v:
Advances in Physics, Volume 62, No.3, pp 225-361 (2013)
In this review we discuss the persistence and the related first-passage properties in extended many-body nonequilibrium systems. Starting with simple systems with one or few degrees of freedom, such as random walk and random acceleration problems, we
Externí odkaz:
http://arxiv.org/abs/1304.1195
Autor:
Majumdar, Satya N., Bray, Alan J.
We consider three independent Brownian walkers moving on a line. The process terminates when the left-most walker (the `Leader') meets either of the other two walkers. For arbitrary values of the diffusion constants D_1 (the Leader), D_2 and D_3 of t
Externí odkaz:
http://arxiv.org/abs/1006.5834
Autor:
Godreche, Claude, Bray, Alan J.
Publikováno v:
J. Stat. Mech. (2009) P12016
We study the nonequilibrium properties of directed Ising models with non conserved dynamics, in which each spin is influenced by only a subset of its nearest neighbours. We treat the following models: (i) the one-dimensional chain; (ii) the two-dimen
Externí odkaz:
http://arxiv.org/abs/0911.4011
Autor:
Sicilia, Alberto, Sarrazin, Yoann, Arenzon, Jeferson J., Bray, Alan J., Cugliandolo, Leticia F.
Publikováno v:
Phys. Rev. E 80, 031121 (2009)
We study the domain geometry during spinodal decomposition of a 50:50 binary mixture in two dimensions. Extending arguments developed to treat non-conserved coarsening, we obtain approximate analytic results for the distribution of domain areas and p
Externí odkaz:
http://arxiv.org/abs/0809.1792
Phase Transition in a Random Minima Model: Mean Field Theory and Exact Solution on the Bethe Lattice
Publikováno v:
Journal of Statistical Mechanics: Theory and Experiment, P11011, 2008
We consider the number and distribution of minima in random landscapes defined on non-Euclidean lattices. Using an ensemble where random landscapes are reweighted by a fugacity factor $z$ for each minimum they contain, we construct first a `two-box'
Externí odkaz:
http://arxiv.org/abs/0807.4386
Autor:
Sicilia, Alberto, Arenzon, Jeferson J., Dierking, Ingo, Bray, Alan J., Cugliandolo, Leticia F., Martinez-Perdiguero, Josu, Alonso, Ibon, Pintre, Inmaculada C.
Publikováno v:
Phys. Rev. Lett. 101, 197801 (2008)
We study electric field driven deracemization in an achiral liquid crystal through the formation and coarsening of chiral domains. It is proposed that deracemization in this system is a curvature-driven process. We test this prediction using the exac
Externí odkaz:
http://arxiv.org/abs/0806.1542
Publikováno v:
EPL 82, 10001 (2008)
The domain morphology of weakly disordered ferromagnets, quenched from the high-temperature phase to the low-temperature phase, is studied using numerical simulations. We find that the geometrical properties of the coarsening domain structure, e.g.,
Externí odkaz:
http://arxiv.org/abs/0711.3848
Publikováno v:
Phys. Rev. E 76, 061116 (2007)
We study the distribution of domain areas, areas enclosed by domain boundaries (''hulls''), and perimeters for curvature-driven two-dimensional coarsening, employing a combination of exact analysis and numerical studies, for various initial condition
Externí odkaz:
http://arxiv.org/abs/0706.4314
Autor:
Bray, Alan J, Smith, Richard
We consider a Brownian particle, with diffusion constant D, moving inside an expanding d-dimensional sphere whose surface is an absorbing boundary for the particle. The sphere has initial radius L_0 and expands at a constant rate c. We calculate the
Externí odkaz:
http://arxiv.org/abs/0705.0501
Autor:
Bray, Alan J., Smith, Richard
We calculate the exact asymptotic survival probability, Q, of a one-dimensional Brownian particle, initially located located at the point x in (-L,L), in the presence of two moving absorbing boundaries located at \pm(L+ct). The result is Q(y,\lambda)
Externí odkaz:
http://arxiv.org/abs/cond-mat/0612563