Results 41 to 50 of about 155,960 (333)
Revisiting (logarithmic) scaling relations using renormalization group
We explicitly compute the critical exponents associated with logarithmic corrections (the so-called hatted exponents) starting from the renormalization group equations and the mean field behavior for a wide class of models at the upper critical behavior (
J.J. Ruiz-Lorenzo
doaj +1 more source
Depinning exponents of the driven long-range elastic string
We perform a high-precision calculation of the critical exponents for the long-range elastic string driven through quenched disorder at the depinning transition, at zero temperature.
Barabási A L+6 more
core +1 more source
The Critical Exponent of Nuclear Fragmentation
Nuclei colliding at energies in the MeV’s break into fragments in a process that resembles a liquid-to-gas phase transition of the excited nuclear matter. If this is the case, phase changes occurring near the critical point should yield a “droplet” mass distribution of the form ≈A −T, with T (a critical exponent universal to ...
Barrañón, A.+3 more
openaire +3 more sources
On the Aizenman exponent in critical percolation [PDF]
5 pages, 4 figures, 4 ...
Lev N. Shchur, Timofey Rostunov
openaire +4 more sources
Making tau amyloid models in vitro: a crucial and underestimated challenge
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
A conjectured upper bound on the Choptuik critical exponents
Near-critical type II gravitational collapse is characterized by the formation of arbitrarily small black holes whose horizon radii are described by the simple scaling law rBH∝(p−p⁎)γ, where γ is the matter-dependent Choptuik critical exponent and Δp≡p−p⁎
Shahar Hod
doaj +1 more source
The Ising Spin Glass in dimension four
The critical behaviors of the bimodal and Gaussian Ising spin glass (ISG) models in dimension four are studied through extensive numerical simulations, and from an analysis of high temperature series expansion (HTSE) data of Klein {\it et al.} (1991 ...
Campbell, I. A., Lundow, P. H.
core +2 more sources
Hausdorff dimension of limit sets for projective Anosov representations [PDF]
We study the relation between critical exponents and Hausdorff dimensions of limit sets for projective Anosov representations. We prove that the Hausdorff dimension of the symmetric limit set in $\mathbf{P}(\mathbb{R}^{n}) \times \mathbf{P}({\mathbb{R ...
Glorieux, Olivier+2 more
core +2 more sources
Aβ42 promotes the aggregation of α‐synuclein splice isoforms via heterogeneous nucleation
The aggregation of amyloid‐β (Aβ) and α‐synuclein (αSyn) is associated with Alzheimer's and Parkinson's diseases. This study reveals that Aβ aggregates serve as potent nucleation sites for the aggregation of αSyn and its splice isoforms, shedding light on the intricate interplay between these two pathogenic proteins.
Alexander Röntgen+2 more
wiley +1 more source
Lyapunov exponents as probes for a phase transition of a Kerr-AdS black hole
In this letter, we study proper time Lyapunov exponents and coordinate time Lyapunov exponents of chaos for both massless and massive particles orbiting a four-dimensional Kerr-AdS black hole, and explore their relationships with the phase transition of ...
Deyou Chen, Chuang Yang, Yongtao Liu
doaj +1 more source