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9 papers · 2 filters
Theory of Single File Diffusion in a Force Field
E. Barkai, R. Silbey
The dynamics of hard-core interacting Brownian particles in an external potential field is studied in one dimension. Using the Jepsen line we find a very general and simple formula…
Pesin-Type Identity for Weak Chaos
Nickolay Korabel, Eli Barkai
Pesin's identity provides a profound connection between entropy (statistical mechanics) and the Lyapunov exponent (chaos theory). It is well known that many systems ex…
Random Time-Scale Invariant Diffusion and Transport Coefficients
Y. He, S. Burov, R. Metzler +1
Single particle tracking of mRNA molecules and lipid granules in living cells shows that the time averaged mean squared displacement of individual particles remain…
Multiplicative Noise Induces Zero Critical Frequency
I. Peleg, E. Barkai
Stochastic Bloch equations which model the fluorescence of two level molecules and atoms, NMR experiments and Josephson junctions are investigated to illustrate the profound effect…
Synchronization interfaces and overlapping communities in complex networks
D. Li, I. Leyva, J. A. Almendral +4
We show that a complex network of phase oscillators may display interfaces between domains (clusters) of synchronized oscillations. The emergence and dynamics of these interfaces a…
Shannon Meets Carnot: Generalized Second Thermodynamic Law
Ori Shental, Ido Kanter
The classical thermodynamic laws fail to capture the behavior of systems with energy Hamiltonian which is an explicit function of the temperature. Such Hamiltonian arises, for exam…