Phase diagram and critical properties of a two-dimensional associating lattice gas

The critical properties of two-dimensional Ising magnetic lattice-gas model are studied by Monte-Carlo simulation in the canonical ensemble. The results are analyzed considering the modified Fisher scaling for systems with zero specific heat exponent, which applies when there are constrained variables such as the density in the canonical ensemble. The estimates of the exponents are obtained and compared to the exponents of the Ising universality class to which the model is expected to belong.

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Effects of the repulsive and attractive forces on phase equilibrium and critical properties of two-dimensional non-conformal simple fluids

Journal of Molecular Liquids ◽

10.1016/j.molliq.2020.115234 ◽

2021 ◽

pp. 115234

Author(s):

B. Ibarra-Tandi ◽

J.A. Moreno-Razo ◽

J. Munguía-Valadez ◽

J. López-Lemus ◽

M.A. Chávez-Rojo

Keyword(s):

Phase Equilibrium ◽

Two Dimensional ◽

Critical Properties ◽

Simple Fluids

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COMPLEX BIFURCATION STRUCTURES IN THE HINDMARSH–ROSE NEURON MODEL

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127407018877 ◽

2007 ◽

Vol 17 (09) ◽

pp. 3071-3083 ◽

Cited By ~ 71

Author(s):

J. M. GONZÀLEZ-MIRANDA

Keyword(s):

Phase Diagram ◽

Bifurcation Diagram ◽

Parameter Space ◽

Neuron Model ◽

Two Dimensional ◽

Dimensional Parameter ◽

Rapid Responses ◽

Bifurcation Structures

The results of a study of the bifurcation diagram of the Hindmarsh–Rose neuron model in a two-dimensional parameter space are reported. This diagram shows the existence and extent of complex bifurcation structures that might be useful to understand the mechanisms used by the neurons to encode information and give rapid responses to stimulus. Moreover, the information contained in this phase diagram provides a background to develop our understanding of the dynamics of interacting neurons.

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Universal behavior of the bosonic metallic ground state in a two-dimensional superconductor

npj Quantum Materials ◽

10.1038/s41535-021-00312-x ◽

2021 ◽

Vol 6 (1) ◽

Author(s):

Zhuoyu Chen ◽

Bai Yang Wang ◽

Adrian G. Swartz ◽

Hyeok Yoon ◽

Yasuyuki Hikita ◽

...

Keyword(s):

Magnetic Field ◽

Phase Diagram ◽

Quantum Phase Transitions ◽

Metallic State ◽

Two Dimensional ◽

Metallic Behavior ◽

Universal Behavior ◽

Hall Resistivity ◽

Wide Range ◽

Metal State

AbstractAnomalous metallic behavior, marked by a saturating finite resistivity much lower than the Drude estimate, has been observed in a wide range of two-dimensional superconductors. Utilizing the electrostatically gated LaAlO3/SrTiO3 interface as a versatile platform for superconductor-metal quantum phase transitions, we probe variations in the gate, magnetic field, and temperature to construct a phase diagram crossing from superconductor, anomalous metal, vortex liquid, to the Drude metal state, combining longitudinal and Hall resistivity measurements. We find that the anomalous metal phases induced by gating and magnetic field, although differing in symmetry, are connected in the phase diagram and exhibit similar magnetic field response approaching zero temperature. Namely, within a finite regime of the anomalous metal state, the longitudinal resistivity linearly depends on the field while the Hall resistivity diminishes, indicating an emergent particle-hole symmetry. The universal behavior highlights the uniqueness of the quantum bosonic metallic state, distinct from bosonic insulators and vortex liquids.

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