scholarly journals Lifshitz/Schrödinger Dp-branes and dynamical exponents

2012 ◽  
Vol 2012 (7) ◽  
Author(s):  
Harvendra Singh
Keyword(s):  
Dynamical Exponents

Dynamical Exponents for 1-D Random-Random Directed Walks

1991 ◽  
pp. 477-482
Author(s):  
Claude Aslangul ◽  
Marc Barthelemy ◽  
Noëlle Pottier ◽  
Daniel Saint-James
Keyword(s):  
Directed Walks ◽  
Dynamical Exponents

scholarly journals Mean field dynamical exponents in finite-dimensional Ising spin glass

1997 ◽  
Vol 30 (20) ◽  
pp. 7115-7131 ◽  
Author(s):  
G Parisi ◽  
P Ranieri ◽  
F Ricci-Tersenghi ◽  
J J Ruiz-Lorenzo
Keyword(s):  
Spin Glass ◽  
Mean Field ◽  
Ising Spin Glass ◽  
Ising Spin ◽  
Finite Dimensional ◽  
Dynamical Exponents

Critical Dynamics Behavior of the Wolff Algorithm in the Site-Bond-Correlated Ising Model

1998 ◽  
Vol 09 (06) ◽  
pp. 861-865
Author(s):  
P. R. A. Campos ◽  
R. N. Onody
Keyword(s):  
Ising Model ◽  
Cluster Algorithm ◽  
Dynamical Behavior ◽  
Critical Dynamics ◽  
Wolff Algorithm ◽  
Autocorrelation Time ◽  
Dynamical Exponents ◽  
Single Cluster

Here we apply the Wolff single-cluster algorithm to the site-bond-correlated Ising model and study its critical dynamical behavior. We have verified that the autocorrelation time diminishes in the presence of dilution and correlation, showing that the Wolff algorithm performs even better in such situations. The critical dynamical exponents are also estimated.

scholarly journals Fibonacci family of dynamical universality classes

2015 ◽  
Vol 112 (41) ◽  
pp. 12645-12650 ◽  
Author(s):  
Vladislav Popkov ◽  
Andreas Schadschneider ◽  
Johannes Schmidt ◽  
Gunter M. Schütz
Keyword(s):  
Fibonacci Numbers ◽  
Universality Class ◽  
Central Concept ◽  
Dynamical Exponent ◽  
Kpz Class ◽  
Density Relation ◽  
Universality Classes ◽  
Low Dimensional ◽  
Discrete Family ◽  
Dynamical Exponents

Universality is a well-established central concept of equilibrium physics. However, in systems far away from equilibrium, a deeper understanding of its underlying principles is still lacking. Up to now, a few classes have been identified. Besides the diffusive universality class with dynamical exponent z=2, another prominent example is the superdiffusive Kardar−Parisi−Zhang (KPZ) class with z=3/2. It appears, e.g., in low-dimensional dynamical phenomena far from thermal equilibrium that exhibit some conservation law. Here we show that both classes are only part of an infinite discrete family of nonequilibrium universality classes. Remarkably, their dynamical exponents zα are given by ratios of neighboring Fibonacci numbers, starting with either z1=3/2 (if a KPZ mode exist) or z1=2 (if a diffusive mode is present). If neither a diffusive nor a KPZ mode is present, all dynamical modes have the Golden Mean z=(1+5)/2 as dynamical exponent. The universal scaling functions of these Fibonacci modes are asymmetric Lévy distributions that are completely fixed by the macroscopic current density relation and compressibility matrix of the system and hence accessible to experimental measurement.

Localization in the Hopping Disordered Bose Hubbard Model

1998 ◽  
Vol 12 (28) ◽  
pp. 1159-1166 ◽  
Author(s):  
K. Sheshadri
Keyword(s):  
Hubbard Model ◽  
Density Of States ◽  
Order Parameter ◽  
Singular Part ◽  
Low Energy ◽  
Strongly Correlated ◽  
Zero Temperature ◽  
Bose Glass ◽  
Dynamical Exponents ◽  
Approximation Calculation

The zero-temperature superfluid (SF)–Bose glass (BG) transition in the strongly correlated (U=∞) Bose Hubbard model in d dimensions driven by disorder in hopping is studied using a simple analytic technique. The transition is identified as the point at which the density of states for local rotations of phase of the superfluid order parameter is enhanced at the lowest energies. This identification leads to the values ν=2/d and z=d/2 for the correlation length and dynamical exponents, respectively, by an approximation calculation of the low-energy density of states for large d. At the transition, the singular part of the compressibility κ vanishes, so κ is finite.

Microscopic dynamical exponents for random-random directed walk on a one-dimensional lattice with quenched disorder

1990 ◽  
Vol 61 (1-2) ◽  
pp. 403-413 ◽  
Author(s):  
Claude Aslangul ◽  
Marc Barthelemy ◽  
No�lle Pottier ◽  
Daniel Saint-James
Keyword(s):  
Quenched Disorder ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Dynamical Exponents

scholarly journals Dynamic Monte Carlo Study of the Two-Dimensional Quantum XY Model

1998 ◽  
Vol 12 (29n30) ◽  
pp. 1237-1243 ◽  
Author(s):  
H. P. Ying ◽  
H. J. Luo ◽  
L. Schülke ◽  
B. Zheng
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensions ◽  
Xy Model ◽  
Dynamic Scaling ◽  
Two Dimensional ◽  
Time Dynamic ◽  
Dynamic Monte Carlo ◽  
Short Time ◽  
Dynamical Exponents

We present a dynamic Monte Carlo study of the spin-1/2 quantum XY model in two-dimensions at the Kosterlitz–Thouless phase transition temperature. The short-time dynamic scaling behaviour is found and the dynamical exponents θ, z and the static exponent η are determined.

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