Monte Carlo results for a linear polymer confined to a harmonic potential well

1991 ◽  
Vol 24 (12) ◽  
pp. 3584-3586 ◽  
Author(s):  
J. James ◽  
G. C. Barker ◽  
M. Silbert
Keyword(s):  
Monte Carlo ◽  
Linear Polymer ◽  
Harmonic Potential ◽  
Potential Well

GLOBAL WELL-POSEDNESS AND INSTABILITY OF A NONLINEAR SCHRÖDINGER EQUATION WITH HARMONIC POTENTIAL

2014 ◽  
Vol 98 (1) ◽  
pp. 78-103
Author(s):  
T. SAANOUNI
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Harmonic Potential ◽  
Well Posedness ◽  
Potential Well ◽  
Nonlinear Schrödinger ◽  
The Cauchy Problem ◽  
Two Space Dimensions

AbstractThis paper is concerned with the Cauchy problem for a nonlinear Schrödinger equation with a harmonic potential and exponential growth nonlinearity in two space dimensions. In the defocusing case, global well-posedness is obtained. In the focusing case, existence of nonglobal solutions is discussed via potential-well arguments.

scholarly journals Trapping of a particle in a short-range harmonic potential well

2012 ◽  
Vol 51 (1) ◽  
pp. 265-277 ◽  
Author(s):  
L. B. Castro ◽  
A. S. de Castro
Keyword(s):  
Short Range ◽  
Harmonic Potential ◽  
Potential Well

Fractional Brownian modeled linear polymer chains with one dimensional Metropolis Monte Carlo simulation

2015 ◽  
Vol 36 ◽  
pp. 1560017
Author(s):  
J. P. B. Sambo ◽  
B. V. Gemao ◽  
J. B. Bornales
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Probability Distribution ◽  
Numerical Data ◽  
Polymer Chains ◽  
Linear Polymer ◽  
Hurst Parameter ◽  
Metropolis Monte Carlo ◽  
End Distance ◽  
Good Agreement

The scaling expression for fractional Brownian modeled linear polymer chains was obtained both theoretically and numerically. Through the probability distribution of fractional Brownian paths, the scaling was found out to be 〈R2〉 ~ N2H, where R is the end-to-end distance of the polymer chain, N is the number of monomer units and H is the Hurst parameter. Numerical data was generated through the use of Monte Carlo simulation implementing the Metropolis algorithm. Results show good agreement between numerical and theoretical scaling constants after some parameter optimization. The probability distribution confirmed the Gaussian nature of fractional Brownian motion and the behavior is not affected by varying values of the Hurst parameter and of the number of monomer units.

Motion of star‐branched vs linear polymer: A Monte Carlo study

1996 ◽  
Vol 104 (21) ◽  
pp. 8703-8712 ◽  
Author(s):  
Andrzej Sikorski ◽  
Piotr Romiszowski
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Linear Polymer
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