708 citations
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cond-mat.stat-mech2008★ 113 cited
Logarithmic current fluctuations in non-equilibrium quantum spin chains
Tibor Antal, P. L. Krapivsky, A. Rákos
We study zero-temperature quantum spin chains which are characterized by a non-vanishing current. For the XX model starting from the initial state |... + + + - - - ...> we derive a…
cond-mat.stat-mech2007★ 36 cited
Molecular Spiders with Memory
Tibor Antal, P. L. Krapivsky
Synthetic bio-molecular spiders with "legs" made of single-stranded segments of DNA can move on a surface which is also covered by single-stranded segments of DNA complementary to…
cond-mat.stat-mech2006★ 5 cited
Flows on Graphs with Random Capacities
T. Antal, P. L. Krapivsky
We investigate flows on graphs whose links have random capacities. For binary trees we derive the probability distribution for the maximal flow from the root to a leaf, and show th…