Results 1 to 10 of about 19,529 (303)
Antisquares and Critical Exponents [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 The (bitwise) complement $\overline{x}$ of a binary word $x$ is obtained by changing each $0$ in $x$ to $1$ and vice versa. An $\textit{antisquare}$ is a nonempty word of the form $x\, \overline{x}$.
Aseem Baranwal +5 more
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Noether Symmetries and Critical Exponents [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2005 We show that all Lie point symmetries of various classes of nonlinear differential equations involving critical nonlinearities are variational/divergence symmetries.
Yuri Bozhkov
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Critical exponents and scaling invariance in the absence of a critical point [PDF]
Nature Communications, 2016 Thermodynamic observables develop power laws and singularities when approaching the Curie point of a ferromagnetic phase transition. Here, Saratz et al.
N. Saratz +5 more
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Unifying the Anderson transitions in Hermitian and non-Hermitian systems
Physical Review Research, 2022 Non-Hermiticity enriches the tenfold Altland-Zirnbauer symmetry class into the 38-fold symmetry class, where critical behavior of the Anderson transitions (ATs) has been extensively studied recently.
Xunlong Luo +4 more
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Probing phase structure of black holes with Lyapunov exponents
Journal of High Energy Physics, 2022 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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Critical Relaxation and Critical Exponents [PDF]
Modern Physics Letters B, 1997 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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On critical exponents for self-similar collapse
Journal of High Energy Physics, 2020 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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Critical Fractional p-Laplacian System with Negative Exponents
Journal of Function Spaces, 2023 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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On the Critical Exponent for k-Primitive Sets [PDF]
Combinatorica, 2021 A set of positive integers is primitive (or 1-primitive) if no member divides another. Erdős proved in 1935 that the weighted sum $\sum1/(n \log n)$ for $n$ ranging over a primitive set $A$ is universally bounded over all choices for $A$. In 1988 he asked if this universal bound is attained by the set of prime numbers.
Tsz Ho Chan +2 more
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Derivation of the Critical Point Scaling Hypothesis Using Thermodynamics Only
Entropy, 2020 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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