[en] The dynamical entropy of quasifree automorphisms and quasifree states is calculated and shown to be the entropy of the shift created by the group velocity. Some continuity properties are proved. (Author)

[en] The entropy density for a gauge and euclidean invariant, quasi-free state of the continuous boson system is computed

[en] Highlights: • A 15-element thermodynamic database (TCHEA1) was developed especially for HEAs. • It has 105 binaries, 200 ternaries, and almost all phases in each assessed system. • The development faces new challenges, especially the daunting number of ternaries. • It needs reliable extrapolations into metastable regions and higher order systems. • Examples are made for performing relevant calculations and interpreting the results.

[en] Highlights: • Near equi-atomic alloys containing an icosahedral phase were fabricated. • Prototypical data of high-entropy quasicrystalline alloy (HE-QCs) were achieved. • A way to produce high-entropy alloy with a single quasicrystalline phase was discussed.

[en] There have been a number of forms of a conjecture that there is a universal lower bound on the ratio, η/s, of the shear viscosity, η, to entropy density, s, with several different domains of validity. We examine the various forms of the conjecture. We argue that a number of variants of the conjecture are not viable due to the existence of theoretically consistent counterexamples. We also note that much of the evidence in favor of a bound does not apply to the variants which have not yet been ruled out

[en] With entropic interpretation of gravity proposed by Verlinde, we obtain the Friedmann equation of the Friedmann-Robertson-Walker universe for the deformed Horava-Lifshitz gravity. It is shown that, when the parameter of Horava-Lifshitz gravity ω → ∞, the modified Friedmann equation will go back to the one in Einstein gravity. This results may imply that the entropic interpretation of gravity is effective for the deformed Horava-Lifshitz gravity. (general)

[en] We calculate the dynamical entropy of quasifree automorphisms by showing that their abelian counterpart already gives an optimal abelian model. (authors)

[en] Published in summary form only

[en] We give bounds for the fluctuations of estimators of the mean entropy production in Gibbsian sources. These bounds are valid for every n, where n denotes the size-length of the sample. We consider two estimators which are based on waiting and hitting times. (paper)

[en] For symbolic dynamical systems we use the Carathéodory construction as described in (Pesin 1997 Dimension Theory in Dynamical Systems, ConTemporary Views and Applications (Chicago: University of Chicago Press)) to introduce the notions of q-topological and q-metric entropies. We describe some basic properties of these entropies and in particular, discuss relations between q-metric entropy and local metric entropy. Both q-topological and q-metric entropies are new invariants respectively under homeomorphisms and metric isomorphisms of dynamical systems. (paper)