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Updated: Jan 10, 2026

Cross-Modal Multivariate Pattern Analysis
Published on: November 9, 2011
Revising the theory of cross phenomena
1Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA 16802, United States of America.
None:
In the present paper, the theory of cross phenomena (TCP) proposed by the present author is revised by starting from the first law of thermodynamics instead of the combined law of thermodynamics in the previous publication because the potentials in the latter are not independent of each other. TCP aims to derive the flux equations with respect to independent driving forces from the fundamental laws of thermodynamics rather than the phenomenological Onsager flux equations, which are flawed as shown by the revised TCP.
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