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21 papers · 1 filter
The height distribution of the KPZ equation with sharp wedge initial condition: numerical evaluations
Sylvain Prolhac, Herbert Spohn
The time-dependent probability distribution function of the height for the Kardar-Parisi-Zhang equation with sharp wedge initial conditions has been obtained recently as a convolut…
The One-dimensional KPZ Equation and the Airy Process
Sylvain Prolhac, Herbert Spohn
Our previous work on the one-dimensional KPZ equation with sharp wedge initial data is extended to the case of the joint height statistics at n spatial points for some common fixed…
Geometric entanglement of critical XXZ and Ising chains and Affleck-Ludwig boundary entropies
Jean-Marie Stéphan, Grégoire Misguich, Fabien Alet
We study the geometrical entanglement of the XXZ chain in its critical regime. Recent numerical simulations [Q.-Q. Shi, R. Orús, J. O. Fjærestad and H.-Q Zhou, New J. Phys. {\bf 12…
Aging of the frictional properties induced by temperature variations
Jean-Christophe Géminard, Eric Bertin
The dry frictional contact between two solid surfaces is well-known to obey Coulomb friction laws. In particular, the static friction force resisting the relative lateral (tangenti…
Quantum compacton vacuum
O. V. Zhirov, A. S. Pikovsky, D. L. Shepelyansky
We study the properties of classical and quantum compacton chains by means of extensive numerical simulations. Such chains are strongly nonlinear and their classical dynamics remai…
One-dimensional counterion gas between charged surfaces: Exact results compared with weak- and strong-coupling analysis
David S. Dean, Ron R. Horgan, Ali Naji +1
We evaluate exactly the statistical integral for an inhomogeneous one-dimensional counterion-only Coulomb gas between two charged boundaries and from this compute the effective int…