scholarly journals Cluster Mean-Field Approach to the Steady-State Phase Diagram of Dissipative Spin Systems

2016 ◽  
Vol 6 (3) ◽  
Author(s):  
Jiasen Jin ◽  
Alberto Biella ◽  
Oscar Viyuela ◽  
Leonardo Mazza ◽  
Jonathan Keeling ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Steady State ◽  
Mean Field ◽  
Spin Systems ◽  
Field Approach

scholarly journals Unconventional phase transitions in strongly anisotropic 2D (pseudo)spin systems

2018 ◽  
Vol 185 ◽  
pp. 08006
Author(s):  
Vitaly Konev ◽  
Evgeny Vasinovich ◽  
Vasily Ulitko ◽  
Yury Panov ◽  
Alexander Moskvin
Keyword(s):  
Magnetic Field ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Ground State ◽  
Quantum Monte Carlo ◽  
Mean Field ◽  
Spin Systems ◽  
Field Approach ◽  
Generalized Mean

We have applied a generalized mean-field approach and quantum Monte-Carlo technique for the model 2D S = 1 (pseudo)spin system to find the ground state phase with its evolution under application of the (pseudo)magnetic field. The comparison of the two methods allows us to clearly demonstrate the role of quantum effects. Special attention is given to the role played by an effective single-ion anisotropy ("on-site correlation").

scholarly journals Mean-field theory accurately captures the variation of copy number distributions across the mRNA's life cycle

2021 ◽  
Author(s):  
Juraj Szavits-Nossan ◽  
Ramon Grima
Keyword(s):  
Field Theory ◽  
Life Cycle ◽  
Steady State ◽  
Copy Number ◽  
Mean Field Theory ◽  
Mean Field ◽  
Stochastic Simulations ◽  
Mrna Transcript ◽  
Field Approach ◽  
Gene Switches

We consider a stochastic model where a gene switches between two states, an mRNA transcript is released in the active state and subsequently it undergoes an arbitrary number of sequential unimolecular steps before being degraded. The reactions effectively describe various stages of the mRNA life cycle such as initiation, elongation, termination, splicing, export and degradation. We construct a novel mean-field approach that leads to closed-form steady-state distributions for the number of transcript molecules at each stage of the mRNA life cycle. By comparison with stochastic simulations, we show that the approximation is highly accurate over all of parameter space, independent of the type of expression (constitutive or bursty) and of the shape of the distribution (unimodal, bimodal and nearly bimodal). The theory predicts that in a population of identical cells, any bimodality is gradually washed away as the mRNA progresses through its life cycle.

A study of the Phase Diagram of the Micellar Binary Solution Models I: Mean Field Approach

1996 ◽  
Vol 6 (8) ◽  
pp. 1043-1058 ◽  
Author(s):  
A. Benyoussef ◽  
L. Laanait ◽  
N. Masaif ◽  
N. Moussa
Keyword(s):  
Phase Diagram ◽  
Binary Solution ◽  
Mean Field ◽  
Field Approach ◽  
Solution Models

scholarly journals True Nonlinear Dynamics from Incomplete Networks

2020 ◽  
Vol 34 (01) ◽  
pp. 131-138
Author(s):  
Chunheng Jiang ◽  
Jianxi Gao ◽  
Malik Magdon-Ismail
Keyword(s):  
Nonlinear Dynamics ◽  
Steady State ◽  
State Of The Art ◽  
Local Equilibrium ◽  
Mean Field ◽  
Single Node ◽  
Field Approach ◽  
Current State ◽  
Full Network ◽  
Naive Approach

We study nonlinear dynamics on complex networks. Each vertex i has a state xi which evolves according to a networked dynamics to a steady-state xi*. We develop fundamental tools to learn the true steady-state of a small part of the network, without knowing the full network. A naive approach and the current state-of-the-art is to follow the dynamics of the observed partial network to local equilibrium. This dramatically fails to extract the true steady state. We use a mean-field approach to map the dynamics of the unseen part of the network to a single node, which allows us to recover accurate estimates of steady-state on as few as 5 observed vertices in domains ranging from ecology to social networks to gene regulation. Incomplete networks are the norm in practice, and we offer new ways to think about nonlinear dynamics when only sparse information is available.

scholarly journals Phase diagram of an extended Kondo lattice model for manganites: The Schwinger-boson mean-field approach

2000 ◽  
Vol 61 (2) ◽  
pp. 1211-1217 ◽  
Author(s):  
R. Y. Gu ◽  
Z. D. Wang ◽  
Shun-Qing Shen ◽  
D. Y. Xing
Keyword(s):  
Phase Diagram ◽  
Lattice Model ◽  
Mean Field ◽  
Kondo Lattice ◽  
Field Approach ◽  
Kondo Lattice Model

A MODIFIED CHERN-SIMONS TERM: CHIRAL SPIN SYSTEMS AND ANYON SUPERCONDUCTIVITY

1990 ◽  
Vol 05 (23) ◽  
pp. 4501-4523 ◽  
Author(s):  
A.P. BALACHANDRAN ◽  
G. LANDI ◽  
B. RAI
Keyword(s):  
Hubbard Model ◽  
Mean Field ◽  
Spin Systems ◽  
Chiral Model ◽  
Symmetry Groups ◽  
Strongly Coupled ◽  
Field Approach ◽  
Topological Features ◽  
The Mean ◽  
Chern Simons

In this paper, starting from a system of noninteracting spins in a plane and introducing an appropriate density function for spins, we arrive at a metric independent continuum chiral model. The Lagrangian of this model is a variant of the CP 1 Chern-Simons term and is characterized by an interesting variety of gauge and symmetry groups and topological features. Certain significant aspects of this model or variants thereof are also shared by the mean field approach to the anyon gas, the CP 1 model with the Chern-Simons term and the RVB description of the strongly coupled Hubbard model. The class of models studied here may therefore be useful in the investigation of the latter systems.

scholarly journals Virtual-site correlation mean field approach to criticality in spin systems

2013 ◽  
Vol 377 (31-33) ◽  
pp. 1832-1836 ◽  
Author(s):  
Aditi Sen(De) ◽  
Ujjwal Sen
Keyword(s):  
Mean Field ◽  
Spin Systems ◽  
Field Approach

Steady-state dynamics of an inhomogeneous two-channel TASEP with Langmuir kinetics

2018 ◽  
Vol 29 (04) ◽  
pp. 1850037 ◽  
Author(s):  
Isha Dhiman ◽  
Arvind Kumar Gupta
Keyword(s):  
Monte Carlo ◽  
Steady State ◽  
Mean Field ◽  
Density Profiles ◽  
Lane Changing ◽  
Field Approach ◽  
Langmuir Kinetics ◽  
Shock Dynamics ◽  
Changing Rate ◽  
Good Agreement

The steady-state dynamics of a two-channel TASEP coupled with Langmuir kinetics in the presence of a localized bottleneck are investigated under a fully asymmetric lane-changing rule. A hybrid mean-field approach is adopted to generate the density profiles as well as phase diagrams. The effect of lane-changing rate and strength of bottleneck on the stationary dynamics of the system has also been investigated. It is observed that an increase in lane-changing rate weakens the effect of bottleneck. As a part of studying the shock dynamics, we have identified and analyzed turning effect in the movement of shock with respect to lane-changing rate. Our theoretical arguments are in good agreement with extensively performed Monte-Carlo simulations.

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