Scaling laws and simulation results for the self--organized critical forest--fire model
We discuss the properties of a self--organized critical forest--fire model which has been introduced recently. We derive scaling laws and define critical exponents.
A. Bunde +25 more
core +1 more source
Landau like theory for universality of critical exponents in quasistatioary states of isolated mean-field systems [PDF]
An external force dynamically drives an isolated mean-field Hamiltonian system to a long-lasting quasistationary state, whose lifetime increases with population of the system.
Ogawa, Shun, Yamaguchi, Yoshiyuki Y.
core +4 more sources
Critical exponents of the 3d Ising and related models from conformal bootstrap [PDF]
The constraints of conformal bootstrap are applied to investigate a set of conformal field theories in various dimensions. The prescriptions can be applied to both unitary and non unitary theories allowing for the study of the spectrum of low-lying ...
F. Gliozzi, A. Rago
semanticscholar +1 more source
The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
doaj +1 more source
On critical exponents without Feynman diagrams [PDF]
In order to achieve a better analytic handle on the modern conformal bootstrap program, we re-examine and extend the pioneering 1974 work of Polyakov’s, which was based on consistency between the operator product expansion and unitarity.
Kallol Sen, Aninda Sinha
semanticscholar +1 more source
Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$c-Minimization and Precise Critical Exponents [PDF]
We use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central charge $$c$$c in the space of unitary solutions to crossing symmetry ...
S. El-Showk +5 more
semanticscholar +1 more source
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
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
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
ABSTRACT Background B‐acute lymphoblastic leukemia (B‐ALL) is the most common pediatric cancer, and while most children in high‐resource settings are cured, therapy carries risks for long‐term toxicities. Understanding parents’ concerns about these late effects is essential to guide anticipatory support and inform evolving therapeutic approaches ...
Kellee N. Parker +7 more
wiley +1 more source

