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The critical exponent functions [PDF]

open access: yesComptes Rendus. Mathématique, 2022
The critical exponent of a finite or infinite word $w$ over a given alphabet is the supremum of the reals $\alpha $ for which $w$ contains an $\alpha $-power.
Corona, Dario, Della Corte, Alessandro
doaj   +2 more sources

Vulcanization and critical exponents [PDF]

open access: greenJournal de Physique Lettres, 1979
We consider a particular case of vulcanization of polymer chains in a semi dilute solution where a concentration p of vulcanizing agent has been added. This problem is equivalent to the percolation of elements having a functionality f depending both on the length N of the initial chains and on the monomer concentration C. Our approach allows us to take
M. Daoud
openalex   +4 more sources

Hypergeometric continuation of divergent perturbation series: I. Critical exponents of the Bose–Hubbard model [PDF]

open access: yesNew Journal of Physics, 2017
We study the connection between the exponent of the order parameter of the Mott insulator-to-superfluid transition occurring in the two-dimensional Bose–Hubbard model, and the divergence exponents of its one- and two-particle correlation functions.
Sören Sanders, Martin Holthaus
doaj   +2 more sources

Critical Relaxation and Critical Exponents [PDF]

open access: yesMod. Phys. Lett. B11, 615-623, 1997, 1998
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 behaviour is observed. The dynamic critical exponent $z$ and the static exponent $\eta$ are extracted from the time-dependent Binder cumulant ...
Hongjun Luo, Bo Zheng
arxiv   +5 more sources

Critical Exponents and Elementary Particles [PDF]

open access: greenCommunications in Mathematical Physics, 1985
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.
James Glimm, Arthur Jaffe
openalex   +4 more sources

Exponent-Critical Groups [PDF]

open access: yesarXiv
We define and investigate the property of being `exponent-critical' for a finite group. A finite group is said to be exponent-critical if its exponent is not the least common multiple of the exponents of its proper non-abelian subgroups. We explore properties of exponent-critical groups and give a characterization of such groups.
Simon R. Blackburn   +3 more
arxiv   +3 more sources

Critical exponents in zero dimensions [PDF]

open access: yesJournal 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 $\beta_m$ for all the moments.
François Pétrélis   +1 more
arxiv   +6 more sources

Nuclear Multifragmentation Critical Exponents [PDF]

open access: greenPhysical Review Letters, 1995
We show that the critical exponents of nuclear multi-fragmentation have not been determined conclusively yet.
W. Bauer, William A. Friedman
openalex   +5 more sources

The Critical Exponent is Computable for Automatic Sequences [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2011
The critical exponent of an infinite word is defined to be the supremum of the exponent of each of its factors. For k-automatic sequences, we show that this critical exponent is always either a rational number or infinite, and its value is computable ...
Jeffrey Shallit
doaj   +6 more sources

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