3 papers
cond-mat.dis-nn2026
Disordered harmonic chain with random masses and springs: a combinatorial approach
Maximilien Bernard, Christophe Texier
We study harmonic chains with i.i.d. random spring constants and i.i.d. random masses . We introduce a new combinatorial approach which allows to derive a compact approx…
cond-mat.dis-nn2026
A mean-field theory for heterogeneous random growth with redistribution
Maximilien Bernard, Jean-Philippe Bouchaud, Pierre Le Doussal
We study the competition between random multiplicative growth and redistribution/migration in the mean-field limit, when the number of sites is very large but finite. We find that…
cond-mat.stat-mech2025
The stochastic porous medium equation in one dimension
Maximilien Bernard, Andrei A. Fedorenko, Pierre Le Doussal +1
We study the porous medium equation (PME) in one space dimension in presence of additive non-conservative white noise, and interpreted as a stochastic growth equation for the heigh…