Traveling waves




B. Derrida, H. Spohn, Polymers on disordered trees, spin glasses and traveling waves J. Stat. Phys. 51, 817-840 (1988) [pdf]

E. Brunet, B. Derrida, Shift in the velocity of a front due to a cut-off Phys. Rev. E 56, 2597-2604 (1997) cond-mat/0005362 [pdf]

E. Brunet, B. Derrida, Microscopic models of traveling wave equations, Proceedings of the Conference on Computational Physics (CCP 1998) in Granada, September 2-5 1998, Computer Physics Communications 121-122, 376-381 (1999) [pdf]

E. Brunet, B. Derrida, Effect of Microscopic Noise on Front Propagation J. Stat. Phys. 103, 269-282 (2001) [pdf]

E. Brunet, B. Derrida, Exactly soluble noisy traveling-wave equation appearing in the problem of directed polymers in a random medium Phys. Rev. E 70, 016106 (2004) cond-mat/0409261 [pdf]

E. Brunet, B. Derrida, A. H. Mueller, S. Munier, A phenomenological theory giving the full statistics of the position of fluctuating pulled fronts Phys. Rev. E 73, 056126 (2006) cond-mat/0512021 [pdf]

E. Brunet, B. Derrida, A. H. Mueller, S. Munier, Noisy traveling waves: Effect of selection on genealogies Europhys. Lett., 76, 1-7 (2006) cond-mat/0603160 [pdf]

B. Derrida, D. Simon, The survival probability of a branching random walk in presence of an absorbing wall EPL 78, 60006 (2007) cond-mat/0703353 [pdf]

E. Brunet, B. Derrida, A. H. Mueller, S. Munier, Effect of selection on ancestry: an exactly soluble case and its phenomenological generalization Phys. Rev. E 76, 041104 (2007) cond-mat/0704.3389 [pdf]

D. Simon, B. Derrida, Quasi-stationary regime of a branching random walk in presence of an absorbing wall J. Stat. Phys. 131, 203-233 (2008) cond-mat/0710.3689 [pdf]

E. Brunet, B. Derrida, Statistics at the tip of a branching random walk and the delay of traveling waves EPL 87, 60010 (2009) cond-mat/0905.0613 [pdf]