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On the Critical Behavior of Continuous Homopolymers
Homopolymer temperature polymer the original polymer
2015/9/25
The aim of this paper is to investigate the distribution of a continuous homopolymer in the presence of an attractive finitely supported potential. The most intricate behavior can be observed if we si...
Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point
Complex structures the transition phase Blume - Emery - Griffiths model spin moderate deviation the total spin
2014/12/25
We derive probabilistic limit theorems that reveal the intricate structure of the phase transitions in a mean-field version of the Blume–Emery–Griffiths model [Phys. Rev. A 4 (1971) 1071–1077]. These ...
Critical Behavior of the Chayes–Machta–Swendsen–Wang Dynamics
Dynamics dynamics model spatial dimension monte carlo simulation
2014/12/20
We study the dynamic critical behavior of the Chayes-Machta dynamics for the Fortuin-Kasteleyn random-cluster model, which generalizes the Swendsen-Wang dynamics for the q-state Potts model to noninte...
Dynamic Critical Behavior in Models of Ferromagnetic Gadolinium
Dynamic Critical Behavior Models Ferromagnetic Gadolinium
2012/2/27
A numerical technique combining Monte Carlo and molecular dynamics simulations is used for the first time to examine the complex critical dynamics of models of ferromagnetic gadolinium in which both s...
Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation
the first Painlevé hierarchy non-generic critical behavior the KdV equation
2011/8/23
Abstract: We establish the existence of real pole-free solutions to all even members of the Painlev\'e I hierarchy. We also obtain asymptotics for those solutions and describe their relevance in the d...
Critical behavior of the Random-Field Ising Magnet with long range correlated disorder
random- eld Ising model, correlated disorder, corrections to scaling
2011/9/29
We study the correlated-disorder driven zero-temperature phase transition of the Random-Field Ising Magnet using exact numerical ground-state calculations for cubic lattices. We consider correlations ...
Critical behavior of ferromagnetic pure and random diluted nanoparticles with competing interactions: variational and Monte Carlo approaches
Critical behavior of ferromagnetic pure random diluted nanoparticles interactions: variational
2010/11/23
The magnetic properties and critical behavior of both ferromagnetic pure and metallic nanopar-
ticles having concurrently atomic disorder, dilution and competing interactions, are studied in the fram...
Transport Phenomena in Fluids: Finite-size scaling for critical behavior
Transport Phenomena critical behavior
2010/11/19
Results for transport properties, in conjunction with phase behavior and thermodynamics, are
presented at the criticality of a binary Lennard-Jones fluid from Monte Carlo and molecular dy-
namics si...
On the emergence of critical behavior in evolving financial networks
critical behavior evolving financial networks
2010/10/21
We introduce a simple model for addressing the controversy in the study of financial systems, sometimes taken as brownian-like processes and other as critical systems with fluctuations of arbitrary m...
Critical behavior of non-intersecting Brownian motions at a tacnode
non-intersecting Brownian motion determinantal point process
2010/12/6
We study a model of n one-dimensional non-intersecting Brownian motions with two prescribed starting points at time t = 0 and two prescribed ending points at time t = 1 in a critical regime where the ...
Effects of strongly anisotropic turbulent mixing on the critical behavior are studied by means of the renormalization group. Two models are considered: the equilibrium model A, which describes purely ...
Critical behavior of the delay-induced chaos transition in a nonlinear model for the immune
Delayed systems Immune response Chaos
2010/7/5
In this paper we analyze a model for the dynamics of the immune system interacting with a target population.The model consists in a set of two-dimensional delayed differential equations. The model is ...
Dynamic Light Scattering Analysis on Critical Behavior of Cluster Size Distribution of Polyacrylamide and Agarose Solutions near the Sol-Gel Transition Point
agarose percolation dynamic light scattering
2009/7/8
The dynamic light scattering (DLS) method was applied to measure the cluster radii of polyacrylamide and agarose solutions near the sol-gel transition point. In the case of polyacrylamide, primary clu...
On the critical behavior at the lower phase transition of the contact process
Contact process phase transition critical behavior interacting particle system oriented percolation
2009/6/12
We present general results for the contact process by a method which applies to all transitive graphs of bounded degree, including graphs of exponential growth. The model infection rates are varied th...
Short-Time Critical Behavior Affected by Weakly Long-Range
Interactions
Ginzburg-Landau model short-time critical dynamics
weakly long-range interactions
2007/8/15
2001Vol.35No.4pp.475-479DOI:
Short-Time Critical Behavior Affected by Weakly Long-Range
Interactions
CHEN Yuan,1 GUO Shuo-Hong1 and LI Zhi-Bing1,2
1 Department of Physic...