Determining phoretic mobilities with Onsager’s reciprocal relations: Electro- and thermophoresis revisited

Cxxxix . Ultracentrifugal and Electro - Phoretic Studies on the Milk Proteins

Learning intransitive reciprocal relations with kernel methods

In different fields like decision making, psychology, game theory and biology, it has been observed that paired-comparison data like preference relations defined by humans and animals can be intransitive. Intransitive relations cannot be modeled with existing machine learning methods like ranking models, because these models exhibit strong transitivity properties. More specifically, in a stocha...

Reciprocal Relations in Evolutionary Processes

In nature, our biological world consists of many species of biological contents such as DNA, RNA, and proteins, etc. We frequently ask a question: “Which is first, egg or chicken?” In the evolution of life, we also encounter a similar question: “Which is first, RNA, DNA, or protein?” or “How do they co-evolute?” In such biological systems, a theory of co-evolution of biopolymers is necessary. H...

Reciprocal relations between kinetic curves

We study coupled irreversible processes. For linear or linearized kinetics with microreversibility, ẋ=Kx, the kinetic operator K is symmetric in the entropic inner product. This form of Onsager’s reciprocal relations implies that the shift in time, exp(Kt), is also a symmetric operator. This generates the reciprocity relations between the kinetic curves. For example, for the Master equation, if...

Criticism of Onsager's Reciprocal Relations

| Onsager's second kind of \reciprocal relations" state that (~ H) = T (? ~ H) where is the 3 3 conductance matrix, ~ H is an externally applied magnetic eld, and T means matrix transpose. This is only supposed to hold for \linear" materials for which the current density ~ J is related to the electric eld ~ E by h ~ Ji = ~ E. This is just one instance of a class of mathematically equivalent but...