Results 21 to 30 of about 293,756 (338)
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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Critical Exponents and Elementary Particles [PDF]
Communications in Mathematical Physics, 1977 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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AIMS Mathematics, 2020 We investigate the Cauchy problem for the nonlinear damped wave equation $u_{tt}-\Delta u +u_t=|u|^p+|\nabla u|^q +w(x)$, where $N\geq 1$, $p,q>1$, $w\in L^1_{loc}(\mathbb{R}^N)$, $w\geq 0$ and $w\not\equiv 0$.
Bessem Samet
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Correlation-Strength Driven Anderson Metal-Insulator Transition [PDF]
, 2012 The possibility of driving an Anderson metal-insulator transition in the presence of scale-free disorder by changing the correlation exponent is numerically investigated.
Alexander Croy +6 more
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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.
Chan, Tsz Ho +2 more
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Exponent-critical primitive graphs and the Kronecker product
Electronic Journal of Graph Theory and Applications, 2019 A directed graph is primitive of exponent t if it contains walks of length t between all pairs of vertices, and t is minimal with this property. Moreover, it is exponent-critical if the deletion of any arc results in an imprimitive graph or in a ...
Olga O'Mahony, Rachel Quinlan
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Critical Exponents in Zero Dimensions [PDF]
Journal of Statistical Physics, 2012 In the vicinity of the onset of an instability, we investigate the effect of colored multiplicative noise on the scaling of the moments of the unstable mode amplitude. We introduce a family of zero dimensional models for which we can calculate the exact value of the critical exponents $ _m$ for all the moments.
Alexakis, A., Pétrélis, F.
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Dynamical selection of critical exponents [PDF]
Physical Review E, 2016 v2: Several misprints corrected, appendix on toy model rendered more relevant.
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Solutions to Kirchhoff equations with critical exponent
Arab Journal of Mathematical Sciences, 2016 In this paper, we study the following problems {Δ2u−M(∫Ω|∇u|2dx)Δu=λf(x,u)+|u|2∗−2uinΩu=Δu=0on∂Ω, where 2∗=2NN−4 is the critical exponent. Under some conditions on M and f, we prove the existence of nontrivial solutions by using variational methods.
El Miloud Hssini +2 more
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Activating critical exponent spectra with a slow drive
Physical Review Research, 2020 We uncover an aspect of the Kibble-Zurek phenomenology, according to which the spectrum of critical exponents of a classical or quantum phase transition is revealed, by driving the system slowly in directions parallel to the phase boundary.
Steven Mathey, Sebastian Diehl
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