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A stochastic step flow model with growth in 1+1 dimensions
stochastic step flow model growth 1+1 dimensions
2015/10/16
Mathematical implications of adding Gaussian white noise to the Burton– Cabrera–Frank model for N terraces (‘gaps’) on a crystal surface are studied under external material deposition for large N. The...
Notes on the Schwinger model: regularization and gauge invariance
the Schwinger model regularization and gauge invariance Mathematical Physics
2012/6/21
The point-splitting computation of the gauge invariant Hamiltonian for the Schwinger model on the circle in a positive energy representation is presented.
Asymptotics of the mean-field Heisenberg model
Asymptotics the mean-field Heisenberg model Mathematical Physics
2012/4/16
We consider the mean-field classical Heisenberg model and obtain detailed information about the magnetization by studying the model on a complete graph and sending the number of vertices to infinity. ...
Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model
deformed Bose gas model deformed oscillators intercepts of correlation functions
2012/4/16
Recently, the deformed \mu-Bose gas model based on a set of so called \mu-deformed oscillators was proposed. Within that model, the intercepts of r-particle momentum correlation functions (correlation...
Prediction of Catastrophes: an experimental model
Prediction of Catastrophes experimental model Data Analysis
2012/4/20
Catastrophes of all kinds can be roughly defined as short duration-large amplitude events following and followed by long periods of "ripening". Major earthquakes surely belong to the class of 'catastr...
In multi-hop radio networks, such as wireless ad-hoc and sensor networks, nodes employ a MAC (Medium Access Control) protocol such as TDMA to coordinate accesses to the shared medium and to avoid inte...
Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
The six-vertex model Open spin chain Partition function
2011/9/22
Abstract: With the help of the F-basis provided by the Drinfeld twist or factorizing F-matrix for the open XXZ spin chain with non-diagonal boundary terms, we obtain the determinant representation of ...
On some mathematical model of turbulent flow with intensive selfmixing
turbulent flow intensive selfmixing mathematical model
2011/9/21
Abstract: Paper contains description of a new non laminar mathematical model of turbulent flow. Equations of the model are given and main conservation laws for this model are proven.
On $p$-adic Gibbs Measures for Hard Core Model on a Cayley Tree
Cayley trees hard core interaction Gibbs measures translation invariant measures periodic measures
2011/9/20
Abstract: In this paper we consider a nearest-neighbor $p$-adic hard core (HC) model, with fugacity $\lambda$, on a homogeneous Cayley tree of order $k$ (with $k + 1$ neighbors). We focus on $p$-adic ...
Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators
synchronization Kuramoto model Fokker-Planck PDE global attractor inertial manifold
2011/10/9
Abstract: We study the dynamics of the large N limit of the Kuramoto model of coupled phase oscillators, subject to white noise. We introduce the notion of shadow inertial manifold and we prove their ...
A Model connecting Quantum, Diffusion, Soliton, and Periodic Localized States under Brownian motion
connecting Quantum Diffusion Soliton Brownian motion Mesoscale and Nanoscale Physics
2011/10/9
Abstract: We propose new equations of motion under the theory of the Brownian motion to connect the states of quantum, diffusion, soliton, and periodic localization. The new equations are nothing but ...
Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors
Calogero-Sutherland Model Jack Symmetric Function Recursion Relations Integral Representation
2011/10/9
Abstract: The present work is much motivated by finding an explicit way in the construction of the Jack symmetric function, which is the spectrum generating function for the Calogero-Sutherland(CS) mo...
Removal of UV cutoff for the Nelson model with variable coefficients
Nelson model static space-times ground state ultraviolet limit
2011/9/15
Abstract: We consider the Nelson model with variable coefficients. Nelson models with variable coefficients arise when one replaces in the usual Nelson model the flat Minkowski metric by a static metr...
An inhomogeneous toy-model of the quantum gravity with explicitly evolvable observables
quantum gravity inhomogeneous toy-model explicitly evolvable observables
2011/9/30
Abstract: We consider an inhomogeneous (1+1)-dimensional model of the quantum gravity, which has a system of constraints (hamiltonian and momentum ones) by analogy with that of the General Relativity....
Understanding the Random Displacement Model: From Ground-State Properties to Localization
the Random Displacement Model Ground-State Properties Localization
2011/8/23
Abstract: We give a detailed survey of results obtained in the most recent half decade which led to a deeper understanding of the random displacement model, a model of a random Schr\"odinger operator ...