Lie discrete symmetries of lattice equations

We extend two of the methods previously introduced to find discrete symmetries of differential equations to the case of difference and differential-difference equations. As an example of the application of the methods, we construct the discrete symmetries of the discrete Painlev\'e I equation and of the Toda lattice equation

Photo-excited zero-resistance states in the GaAs/AlGaAs system

The microwave-excited high mobility two-dimensional electron system exhibits, at liquid helium temperatures, vanishing resistance in the vicinity of $B = [4/(4j+1)] B_{f}$, where $B_{f} = 2\pi\textit{f}m^{*}/e$, m$^{*}$ is an effective mass, e is the charge, and \textit{f} is the microwave frequency. Here, we summarize some experimental results.Comment: 7 color figures, 5 page

Coseismic horizontal slip revealed by sheared clastic dikes in the Dead Sea Basin

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Cycles of passive versus active diapirism recorded along an exposed salt wall

Acknowledgements GIA is grateful for funding from the Carnegie Trust for the Universities of Scotland that enabled fieldwork for this project. RW was supported by the Israel Science Foundation (ISF grant No. 1245/11). SM was supported by the Israel Science Foundation (ISF grant No. 1436/14). We would like to thank Chris Talbot and Yohann Poprawski for careful and constructive reviews. The authors appreciate the help of Nicolas Waldmann in precisely locating the positons of dated unconformities.Peer reviewedPostprin

The internal Josephson effect in a Fermi gas near a Feshbach resonance

We consider a two-component system of Fermi atoms and molecular bosons in the vicinity of a Feshbash resonance. We derive an effective action for the system, which has a term describing coherent tunneling of the molecular bosons into Cooper pairs and vice versa. In the equilibrium state, global phase coherence may be destroyed by thermal or quantum phase fluctuations. In the non-equilibrium regime, the system may show an internal AC Josephson effect leading to real time oscillations in the number of molecular bosons.Comment: 5 pages, 2 figure

Bed-parallel slip : Identifying missing displacement in mass transport deposits

RW was supported by the Israel Science Foundation (ISF grant No. 868/17). SM acknowledges the Israel Science Foundation (ISF grant No. 1645/19). TL acknowledges the Israeli government GSI DS project 40706.Peer reviewedPostprin

Continuous Symmetries of Difference Equations

Lie group theory was originally created more than 100 years ago as a tool for solving ordinary and partial differential equations. In this article we review the results of a much more recent program: the use of Lie groups to study difference equations. We show that the mismatch between continuous symmetries and discrete equations can be resolved in at least two manners. One is to use generalized symmetries acting on solutions of difference equations, but leaving the lattice invariant. The other is to restrict to point symmetries, but to allow them to also transform the lattice.Comment: Review articl

Detachment fold duplexes within gravity-driven fold and thrust systems

Funding Information: RW was supported by the Israel Science Foundation ( ISF grant No. 868/17). SM acknowledges the Israel Science Foundation ( ISF grant No. 1645/19). TL was supported by a grant from the Israeli Government under Geological Survey of Israel DS project 40706. We would like to thank Chris Morley and an anonymous reviewer for detailed and constructive reviews, together with Cees Passchier for efficient editorial handling. Publisher Copyright: © 2020 Elsevier LtdPeer reviewedPostprin

Identifying soft-sediment deformation in rocks

SM acknowledges the Israel Science Foundation (ISF grant No. 1436/14) and the Ministry of National Infrastructures, Energy and Water Resources (grant #214-17-027). RW was supported by the Israel Science Foundation (ISF grant No. 868/17). We thank John Waldron and Nigel Woodcock for providing detailed reviews that improved the manuscript, together with Toru Takeshita for careful editorial handlingPeer reviewedPostprin

Folding during soft-sediment deformation

RW was supported by the Israel Science Foundation (ISF grant No. 868/17). SM acknowledges the Israel Science Foundation (ISF grant No. 1436/14) and the Ministry of National Infrastructures, Energy and Water Resources (grant #214-17-027). TL acknowledges the Israeli government GSI DS project 40706. We thank Stefan Schmalholz and Tim Dooley for careful and constructive reviews, together with Hermann Lebit for efficient editorial handling. Finally, GIA would like to take this opportunity to acknowledge John Ramsay’s support while a post-doc at ETH Zurich in the 1980’s.Peer reviewedPostprin