Inverse Melting of Vortex Lattice in Layered Superconductors

Wu, Wenjuan; He, Yie; Zhao, Zhi Gang; Liu, M.; Yang, Ying

doi:10.1142/s0217979205028797

Cited by 3 publications

(3 citation statements)

References 8 publications

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“…Another example is given by the phenomenon of reentrant phase transitions [146][147][148][149], where the macroscopic 'ordered' phase has higher entropy than the microscopic 'disordered' one because of the unfreezing of certain DOF. Irreversible microscopic dynamics, such as diffusive motion, does not conserve the number of accessible microstates of the system conditioned by the macroscopic constraints and, thus, lead to an increase of entropy [144,145].…”

Section: Electromagnetic Fields In the Brainmentioning

confidence: 99%

A Quantum-Classical Model of Brain Dynamics

Sergi¹,

Messina²,

Vicario³

et al. 2023

Preprint

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The study of the human psyche has elucidated a bipartite structure of cognition reflecting the quantum-classical nature of any process that generates knowledge and learning governed by brain activity. Acknowledging the importance of such a finding for modelization, we posit an approach to study brain by means of the quantum-classical dynamics of a Mixed Weyl symbol. The Mixed Weyl symbol is used to describe brain processes at the microscopic level and, when averaged over an appropriate ensemble, provides a link to the results of measurements made at the mesoscopic scale. Within this approach, quantum variables (such as,for example, nuclear and electron spins, dipole momenta of particles or molecules, tunneling degrees of freedom, etc may be represented by spinors while the electromagnetic fields and phonon modes involved in the processes are treated either classically or semi-classically, by also considering quantum zero-point fluctuations. Zero-point quantum effects can be incorporated into numerical simulations by controlling the temperature of each field mode via coupling to a dedicated Nosè-Hoover chain thermostat. The temperature of each thermostat is chosen in order to reproduce quantum statistics in the canonical ensemble. In this first paper, we introduce a quantum-classical model of brain dynamics, clarifying its mathematical strucure and focusing the discussion on its predictive value. Analytical consequences of the model are not reported in this paper, since they are left for future work. Our treatment incorporates compatible features of three well-known quantum approaches to brain dynamics - namely the electromagnetic field theory approach, the orchestrated objective reduction theory, and the dissipative quantum model of the brain - and hints at convincing arguments that sustain the existence of quantum-classical processes in the brain activity. All three models are reviewed.

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Section: Electromagnetic Fields In the Brainmentioning

confidence: 99%

A Quantum-Classical Model of Brain Dynamics

Sergi¹,

Messina²,

Vicario³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…In agreement with the third law of thermodynamics, for example, this takes place at T = 0, where there is only one accessible microstate and the system is maximally ordered on the microscopic level. Another example is given by the phenomenon of re-entrant phase transitions [149][150][151][152], where the macroscopic 'ordered' phase has a higher entropy than the microscopic 'disordered' one because of the unfreezing of certain DOF.…”

Section: Ficationmentioning

confidence: 99%

A Quantum-Classical Model of Brain Dynamics

Sergi¹,

Messina²,

Vicario³

et al. 2023

Preprint

View full text Add to dashboard Cite

The study of the human psyche has elucidated a bipartite structure of logic reflecting the quantum--classical nature of the world. Accordingly, we posited an approach toward studying the brain by means of the quantum--classical dynamics of a mixed Weyl symbol. The mixed Weyl symbol can be used to describe brain processes at the microscopic level and, when averaged over an appropriate ensemble, can provide a link to the results of measurements made at the meso and macro scale. Within this approach, quantum variables (such as, for example, nuclear and electron spins, dipole momenta of particles or molecules, tunneling degrees of freedom, and so on) can be represented by spinors, whereas the electromagnetic fields and phonon modes can be treated either classically or semi-classically in phase space by also considering quantum zero-point fluctuations. Quantum zero-point effects can be incorporated into numerical simulations by controlling the temperature of each field mode via coupling to a dedicated Nos\'e-Hoover chain thermostat. The temperature of each thermostat was chosen in order to reproduce quantum statistics in the canonical ensemble. In this first paper, we introduce a general quantum--classical Hamiltonian model that can be tailored to study physical processes at the interface between the quantum and the classical world in the brain. While the approach is discussed in detail, numerical calculations are not reported in the present paper, but they are planned for future work. Our theory of brain dynamics subsumes some compatible aspects of three well-known quantum approaches to brain dynamics, namely the electromagnetic field theory approach, the orchestrated objective reduction theory, and the dissipative quantum model of the brain. All three models are reviewed.

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“…In agreement with the third law of thermodynamics, for example, this takes place at

, where there is only one accessible microstate and the system is maximally ordered on the microscopic level. Another example is given by the phenomenon of re-entrant phase transitions [ 149 , 150 , 151 , 152 ], where the macroscopic ‘ordered’ phase has a higher entropy than the microscopic ‘disordered’ one because of the unfreezing of certain DOF. Irreversible microscopic dynamics, such as diffusive motion, does not conserve the number of accessible microstates of the system conditioned by the macroscopic constraints and thus leads to an increase in entropy [ 147 , 148 ].…”

Section: Schrödinger’s ‘Order From Order’ and Jordan’s Quantum Amplif...mentioning

confidence: 99%

A Quantum–Classical Model of Brain Dynamics

Sergi

Messina

Vicario

et al. 2023

Entropy

View full text Add to dashboard Cite

The study of the human psyche has elucidated a bipartite structure of logic reflecting the quantum–classical nature of the world. Accordingly, we posited an approach toward studying the brain by means of the quantum–classical dynamics of a mixed Weyl symbol. The mixed Weyl symbol can be used to describe brain processes at the microscopic level and, when averaged over an appropriate ensemble, can provide a link to the results of measurements made at the meso and macro scale. Within this approach, quantum variables (such as, for example, nuclear and electron spins, dipole momenta of particles or molecules, tunneling degrees of freedom, and so on) can be represented by spinors, whereas the electromagnetic fields and phonon modes can be treated either classically or semi-classically in phase space by also considering quantum zero-point fluctuations. Quantum zero-point effects can be incorporated into numerical simulations by controlling the temperature of each field mode via coupling to a dedicated Nosé–Hoover chain thermostat. The temperature of each thermostat was chosen in order to reproduce quantum statistics in the canonical ensemble. In this first paper, we introduce a general quantum–classical Hamiltonian model that can be tailored to study physical processes at the interface between the quantum and the classical world in the brain. While the approach is discussed in detail, numerical calculations are not reported in the present paper, but they are planned for future work. Our theory of brain dynamics subsumes some compatible aspects of three well-known quantum approaches to brain dynamics, namely the electromagnetic field theory approach, the orchestrated objective reduction theory, and the dissipative quantum model of the brain. All three models are reviewed.

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Inverse Melting of Vortex Lattice in Layered Superconductors

Cited by 3 publications

References 8 publications

A Quantum-Classical Model of Brain Dynamics

A Quantum-Classical Model of Brain Dynamics

A Quantum-Classical Model of Brain Dynamics

A Quantum–Classical Model of Brain Dynamics

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