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Probing phase structure of black holes with Lyapunov exponents
We conjecture that there exists a relationship between Lyapunov exponents and black hole phase transitions. To support our conjecture, Lyapunov exponents of the motion of particles and ring strings are calculated for Reissner-Nordström-AdS black holes ...
Xiaobo Guo +3 more
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On critical exponents for self-similar collapse
We explore systematically perturbations of self-similar solutions to the Einstein-axion-dilaton system, whose dynamics are invariant under spacetime dilations combined with internal 𝔰𝔩(2, ℝ) transformations.
Riccardo Antonelli, Ehsan Hatefi
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Quantum computing critical exponents [PDF]
16 pages, 5 ...
Dreyer, Henrik +2 more
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Critical Fractional p-Laplacian System with Negative Exponents
In this paper, we consider a class of fractional p-Laplacian problems with critical and negative exponents. By decomposition of the Nehari manifold, the existence and multiplicity of nontrivial solutions for the above problems are established with ...
Qinghao Zhu, Jianming Qi
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Derivation of the Critical Point Scaling Hypothesis Using Thermodynamics Only
Based on the foundations of thermodynamics and the equilibrium conditions for the coexistence of two phases in a magnetic Ising-like system, we show, first, that there is a critical point where the isothermal susceptibility diverges and the specific heat
Víctor Romero-Rochín
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Tricritical phenomena in holographic chiral phase transitions
We study critical phenomena at a tricritical point associated with a chiral phase transition which emerges in the D3/D7 model in the presence of a finite baryon number density and an external magnetic field.
Masataka Matsumoto
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Connecting Complex Electronic Pattern Formation to Critical Exponents
Scanning probes reveal complex, inhomogeneous patterns on the surface of many condensed matter systems. In some cases, the patterns form self-similar, fractal geometric clusters. In this paper, we advance the theory of criticality as it pertains to those
Shuo Liu +2 more
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Critical Relaxation and Critical Exponents [PDF]
Dynamic relaxation of the XY model and fully frustrated XY model quenched from an initial ordered state to the critical temperature or below is investigated with Monte Carlo methods. Universal power law scaling behavior is observed. The dynamic critical exponent z and the static exponent η are extracted from the time-dependent Binder cumulant and ...
Luo, H. J., Zheng, B.
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Critical Behavior of La0.8Ca0.2Mn1−xCoxO3 Perovskite (0.1 ≤ x ≤ 0.3)
The critical properties of La0.8Ca0.2Mn1−xCoxO3 (x = 0, 0.1, 0.2 and 0.3) compounds were investigated by analysis of the magnetic measurements in the vicinity of their critical temperature. Arrott plots revealed that the paramagnetic PM-ferromagnetic (FM)
Dorra Turki +10 more
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Critical Exponents and Elementary Particles [PDF]
Particles are shown to exist for a.e. value of the mass in single phase φ4 lattice and continuum field theories and nearest neighbor Ising models. The particles occur in the form of poles at imaginary (Minkowski) momenta of the Fourier transformed two point function.
Glimm, J., Jaffe, A.
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