We demonstrate that discrete Lyapunov exponents are isomorphic to numeric overflows of the capacity of an arbitrary noiseless and memoryless channel in a Shannon communication model with feedback.â€¦ (More)

We report a molecular-dynamics simulation of a single-component system of particles interacting via a spherically symmetric potential that is found to form, upon cooling from a liquid state, aâ€¦ (More)

Gerald Friedland, Alfredo Metere3âˆ— 1 Department of Electrical Engineering and Computer Science, University of California Berkeley, Soda Hall, Berkeley, CA 94720, USA 2 Engineering Directorate,â€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2013

We report a molecular dynamics simulation demonstrating that the smectic-B crystalline phase (Cry-B), commonly observed in mesogenic systems of anisotropic molecules, can be formed by a system ofâ€¦ (More)

We report a molecular dynamics simulation demonstrating that a columnar liquid crystal, commonly formed by disc-shaped molecules, can be formed by identical particles interacting via a sphericallyâ€¦ (More)

In this manuscript, we derive the principle of conservation of computational complexity. We measure computational complexity as the number of binary computations (decisions) required to solve aâ€¦ (More)

The hexatic phase predicted by the theories of two-dimensional melting is characterized by the power-law decay of the orientational correlations, whereas the in-layer bond orientational order in allâ€¦ (More)

We report a solid smectic phase that exhibits dodecagonal global order. It is composed of axially stacked hexagonally ordered particle layers, and its 12-fold rotational symmetry induced by the 30Â°â€¦ (More)