Growth, coarsening and persistence




J.P. Nadal, B. Derrida, J. Vannimenus, Directed diffusion-controlled aggregation versus directed animals Phys. Rev. B 30, 376-383 (1984) [pdf]

B. Derrida, C. Godrèche, I. Yekutieli, Stable distributions of growing and coalescing droplets Europhys. Lett. 12, 385-390 (1990) [pdf]

B. Derrida, V. Hakim, J. Vannimenus, Growth histories and overlap distributions of diffusion-limited-aggregation clusters Phys. Rev. A 43, 888-899 (1991) [pdf]

B. Derrida, R. Dickman, On the interface between two growing Eden clusters J. Phys. A 24, L191-193 (1991) [pdf]

B. Derrida, C. Godrèche, I. Yekutieli, Scale invariant regime in the one dimensional models of growing and coalescing droplets Phys. Rev. A 44, 6241-6251 (1991) [pdf]

B. Derrida, V. Hakim, Needle models of Laplacian growth Phys. Rev. A 45, 8759-8765 (1992) [pdf]

B. Derrida, A.J. Bray, C. Godrèche, Non-trivial exponents in the zero temperature dynamics of the 1d Ising and Potts model J. Phys. A27, L357-L361 (1994) [pdf]

A.J. Bray, B. Derrida, C. Godrèche, Non-trivial algebraic decay in a soluble model of coarsening Europhys. Lett. 27, 175-180 (1994) [pdf]

A.J. Bray, B. Derrida, Exact exponent lambda of the autocorrelation function for a soluble model of coarsening Phys. Rev. E 51, R1633-R1636 (1995) cond-mat/9411037 [pdf]

B. Derrida, Exponents appearing in the zero temperature dynamics of the 1d Potts model J. Phys. A28, 1481-1491 (1995) [pdf]

B. Derrida, V. Hakim, V. Pasquier, Exact first passage exponents in 1d domain growth: relation to a reaction-diffusion model Phys. Rev. Lett. 75, 751-754 (1995) [pdf]

B. Derrida, P.M.C. de Oliveira, D. Stauffer, Stable spins in the zero temperature dynamics of 2d Potts models Physica A224, 604-613 (1996) [pdf]

B. Derrida, V. Hakim, V. Pasquier, Exact exponent for the number of persistent spins in the zero temperature dynamics of the 1d Potts model J. Stat. Phys. 85, 763-797 (1996) [pdf]

B. Derrida, R. Zeitak, Distribution of domain sizes in the zero temperature Glauber dynamics of the 1d Potts model Phys. Rev. E 54, 2513-2525 (1996) cond-mat/9606042 [pdf]

B. Derrida, V. Hakim, R. Zeitak, Persistent spins in the linear approximation of phase ordering and zeros of stationary Gaussian processes Phys. Rev. Lett. 77, 2871-2874 (1996) cond-mat/9606005 [pdf]

B. Derrida, V. Hakim, Coarsening in the 1d Ising model evolving with the Swendsen-Wang dynamics; an unusual scaling J. Phys. A Lett. 29, L589-594 (1996) [pdf]

B. Derrida, Non-trivial exponents in coarsening phenomena Physica D 103, 466-477 (1997), Proceedings for the Workshop on Lattice Dynamics, Université Denis Diderot, Juin 95 [pdf]

B. Derrida, Zero temperature Glauber dynamics of the 1d Potts model p 126-140 The mathematical beauty of physics volume dedicated to Claude Itzykson (volume 24 in advances series in mathematical physics of world scientific) (1997)

B. Derrida, How to extract information from simulations of coarsening at finite temperature? Phys. Rev. E 55, 3705-3707 (1997) [pdf]