Phase Transitions in Grey Matter: Brain Architecture and Mind Dynamics relates the complex systems that we know as 'mind' and 'brain' to simple concepts in physics such as 'phase transition' and 'criticality' and establishes a close mathematical link between them. A serious review of live issues in science - from interaction and correlation to emergence, scale invariance, attractors, noise and chaos-this book demonstrates their relevance to intelligence and consciousness. The result is a significant and useful portrait of what 'mind' currently means to science and aggregates widely dispersed and sometimes hard to find topics into one resource. Key highlights: --Provides a coherent basis for the existence of criticality in the brain, and shows how some of its main outstanding properties may be understood --Deeply explores the assumption that phase transition is the most relevant concept to understand the mind --Offers a strong foundation for those interested in making a complete and useful portrait of the brain This book is for advanced graduate and graduate students in physics, applied mathematics, biology and medicine. It is an excellent resource for practitioners and those curious about recent advances in neurosciences.
Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable ...
The unifying theme of this book is the notion that all of these bulk changes in brain behavior can be treated as phase transitions between distinct brain states.
... is the analytic amplitude (the blue curve in Fig.9.1c), dt, (9.2) Aj(t) = √ ( v2j(t) + u2j(t) ) , (9.3) and the arctangent of the angle of the vector with respect to the real axis is the analytic phase (blue sawtooth in Fig.9.1d), ...
The unifying theme of this book is the notion that all of these bulk changes in brain behavior can be treated as phase transitions between distinct brain states.
... Phase Transitions in Lattice Models. Cambridge University Press, Cambridge. Marro, J., and Torres, J. J. (2021), Phase Transitions in Grey Matter – Brain Architecture and Mind Dynamics. American Institute of Physics Pub., New York. doi ...
In LC systems the order is not threeYdimensional but, according to Grey, oneY or twoYdimensional, i.e. the regularity ... The main cause of matter transition to a liquid crystalline phase state, as soon as the melting point is achieved, ...
suffice to describe the transition) within a so-called mean field theory. ... here by grey contours) In this section we consider a general model that has broad applicability to phase transitions in soft materials: the Landau theory, ...
This book deals with the phenomenological theory of first-order structural phase transitions, with a special emphasis on reconstructive transformations in which a group-subgroup relationship between the symmetries of the phases is absent.
The subcortical white matter is hyperintense to gray matter during the juvenile phase (weeks 1–4; a), isointense during the transition phase (6 weeks; b), and exhibits hypointensity during the maturing phase and into adulthood (8–36 ...
Covers each physiological MR methodology and their applications to all major neurological diseases.