Results 221 to 230 of about 255,733 (268)

On preimage entropy, folding entropy and stable entropy

Ergodic Theory and Dynamical Systems, 2020
For non-invertible dynamical systems, we investigate how ‘non-invertible’ a system is and how the ‘non-invertibility’ contributes to the entropy from different viewpoints. For a continuous map on a compact metric space, we propose a notion of pointwise metric preimage entropy for invariant measures.
Wu, Weisheng, Zhu, Yujun
openaire   +1 more source

Entropy Landscaping of High‐Entropy Carbides

Advanced Materials, 2021
AbstractThe entropy landscape of high‐entropy carbides can be used to understand and predict their structure, properties, and stability. Using first principles calculations, the individual and temperature‐dependent contributions of vibrational, electronic, and configurational entropies are analyzed, and compare them qualitatively to the enthalpies of ...
Cormac Toher, Corey Oses, Lun Feng
exaly   +3 more sources

Nonequilibrium entropy and entropy distributions

Physical Review B, 1990
Glasses have nonzero zero-temperature entropies. Because they are out of equilibrium, the ``thermodynamic'' entropy, determined by heat flow, is not equal to the ``statistical'' entropy, which measures volumes in phase space. We discuss the relationship between the two kinds of entropy in nonequilibrium systems and show that the thermodynamic entropies
, Langer, , Sethna, , Grannan
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On Entropy-Stable Discretizations and the Entropy Adjoint

Journal of Scientific Computing, 2021
For symmetrizable conservation laws, the entropy variables are adjoints for a functional that balances entropy flux into the domain with sources of entropy inside the domain. In this paper, it was shown that entropy-stable summation by parts (SBP) discretizations mimic an additional property of the continuous equations: the entropy adjoint. The entropy
openaire   +2 more sources