entropy productionnonequilibrium stateThere is a relation between the irreversibility of thermodynamic processes as expressed by the breaking of time-reversal symmetry, and the entropy production in such processes. We explain on an elementary mathematical level the relations between entropy production, ...
M. Causal network inference by optimal causation entropy. SIAM J. Appl. Dyn. Syst. 14, 73–106 (2015). Google Scholar Triacca, U. Is Granger causality analysis appropriate to investigate the relationship between atmospheric concentration of carbon dioxide and global surface air temperature? Theor...
We define the entropy as a measure of the disorder in space time. By using an equilibrium condition we introduce a natural time scale that it is precisely the one appearing in the Tomita-Takesaki theorem. For this time scale depending on the temperature but not on the system properties our...
At the single-particle level, the entropy production rate reveals violations of time-reversal symmetry that depend on the level of coarse graining. The breakdown of time-reversal symmetry and the departure from the Boltzmann distribution are responsible for a rich phenomenology in active systems, with...
The general tendency of the entropy of an isolated to increase is considered to be directly linked to the direction of the flow of time. This raises the question whether a quantitative relation can be established such that a time interval can be measured by measuring entropy change and vice ve...
When we apply the quotation to science learning and refer appropriation to a concept like force, temperature or entropy, appropriation implies productive learning including deep conceptual understanding, but it also involves a reflexive process of populating scientific discourse with personal intentions, pur...
KHR implies a proportional relation, , between the number of spatial degrees of freedom inside any -dimensional spherical volume with radius and its boundary area . It yields a substantial basis for our new area-entropy law of black holes and further enables us to connect "the first law of ...
A cosmological model is proposed which uses a causality argument to solve the homogeneity and entropy problems of cosmology. In this model a chronology violating region of spacetime causally precedes the remainder of the Universe, and a theorem establishes the existence of time functions precisely out...
This uncertainty relation bounds the time that elapses before the change in a thermodynamic quantity has the same magnitude as its initial standard deviation. From this general bound, we establish a family of speed limits for heat, work, entropy production, and entropy flow depending on the ...
1.1 Notions of entropy Notions of entropy, information and uncertainty are intertwined and cannot be sharply differen- tiated. While entropy and uncertainty are - to some extent synonymous - measures of ignorance (lack of information, uncertainty), the complementary notion of information basically ...