Results 41 to 50 of about 5,079,022 (381)
On perturbation theory and critical exponents for self-similar systems
European Physical Journal C: Particles and Fields, 2021 Gravitational critical collapse in the Einstein-axion-dilaton system is known to lead to continuous self-similar solutions characterized by the Choptuik critical exponent $$\gamma $$ γ . We complete the existing literature on the subject by computing the
Ehsan Hatefi, Adrien Kuntz
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Normalized solutions for nonlinear Kirchhoff type equations in high dimensions
Electronic Research Archive, 2022 We study the normalized solutions for nonlinear Kirchhoff equation with Sobolev critical exponent in high dimensions $ \mathbb{R}^N(N\geqslant4) $. In particular, in dimension $ N = 4 $, there is a special phenomenon for Kirchhoff equation that the mass ...
Lingzheng Kong, Haibo Chen
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Behavior of the generalized Rosenblatt process at extreme critical exponent values [PDF]
, 2016 The generalized Rosenblatt process is obtained by replacing the single critical exponent characterizing the Rosenblatt process by two different exponents living in the interior of a triangular region.
Shuyang Bai, M. Taqqu
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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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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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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.
François Pétrélis +1 more
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Estimate of the critical exponent of the Anderson transition in the three and four dimensional unitary universality classes [PDF]
, 2016 Disordered non-interacting systems are classified into ten symmetry classes, with the unitary class being the most fundamental. The three and four dimensional unitary universality classes are attracting renewed interest because of their relation to three
K. Slevin, T. Ohtsuki
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Inhomogeneous Neumann problem with critical Sobolev exponent
Advances in Nonlinear Analysis, 2012 We investigate the solvability of the inhomogeneous Neumann problem involving the critical Sobolev exponent. In particular, we discuss the impact of the shape of the graph of the coefficient of the critical exponent on the existence of a solution.
Chabrowski Jan
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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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Advances in Nonlinear Analysis, 2019 The paper is concerned with the existence and multiplicity of positive solutions of the nonhomogeneous Choquard equation over an annular type bounded domain.
Goel Divya, Sreenadh Konijeti
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