Escape from a metastable potential in dissipative quantum and classical systems

1989 ◽  
Author(s):  
Dana A. Browne ◽  
Vinay Ambegaokar ◽  
Ken S. Chow
Keyword(s):  
Classical Systems ◽  
Metastable Potential

scholarly journals Efficient Numerical Evaluation of Thermodynamic Quantities on Infinite (Semi-)classical Chains

2021 ◽  
Vol 182 (3) ◽  
Author(s):  
Christian B. Mendl ◽  
Folkmar Bornemann
Keyword(s):  
Transfer Operator ◽  
Classical System ◽  
Free Energy Density ◽  
Classical Particle ◽  
Thermodynamic Quantities ◽  
Nls Equation ◽  
Classical Systems ◽  
Particle Chain ◽  
Dynamics Simulations ◽  
Good Agreement

AbstractThis work presents an efficient numerical method to evaluate the free energy density and associated thermodynamic quantities of (quasi) one-dimensional classical systems, by combining the transfer operator approach with a numerical discretization of integral kernels using quadrature rules. For analytic kernels, the technique exhibits exponential convergence in the number of quadrature points. As demonstration, we apply the method to a classical particle chain, to the semiclassical nonlinear Schrödinger (NLS) equation and to a classical system on a cylindrical lattice. A comparison with molecular dynamics simulations performed for the NLS model shows very good agreement.

scholarly journals Nonlinear quantization of integrable classical systems

1997 ◽  
Vol 38 (8) ◽  
pp. 4073-4085
Author(s):  
Antonio Scotti ◽  
Alexander Ushveridze
Keyword(s):  
Classical Systems ◽  
Nonlinear Quantization

Nonadiabatic reaction rates for dissipative quantum-classical systems

2003 ◽  
Vol 119 (24) ◽  
pp. 12776-12783 ◽  
Author(s):  
Alessandro Sergi ◽  
Raymond Kapral
Keyword(s):  
Reaction Rates ◽  
Classical Systems

Recent advances in the technologies of connection for panel structures: Design and cost analysis of different solutions with X-shaped dissipative connectors

2016 ◽  
Vol 20 (3) ◽  
pp. 299-315
Author(s):  
Massimo Latour
Keyword(s):  
Finite Element ◽  
Cost Reduction ◽  
Design Criterion ◽  
Classical Solutions ◽  
Finite Element Analyses ◽  
Seismic Damper ◽  
Classical Systems ◽  
Cyclic Behaviour ◽  
Energy Dissipation Capacity ◽  
The Cost

In this work, a recently patented seismic damper to be applied to structures composed by systems of panels is presented. In particular, the article is devoted to characterize the behaviour of the proposed connector by means of an experimental and numerical analysis and to provide some information about the cost of the elements needed to realize the damper, accounting for the manufacturing process. The experimental analysis has regarded five specimens tested under different loading conditions, and it has been used as a term of comparison with the classical systems of connection currently employed in these structures. Afterwards, in the article, a design criterion able to control the capacity and ductility of the device by simply varying the shape of the damper is presented and its accuracy is evaluated by performing finite element analyses. The results of the experimental and finite element analyses are very promising in terms of cyclic behaviour and energy dissipation capacity and reveal that the design of the element can be accurately controlled by means of the proposed approach. Furthermore, the cost estimate has revealed that the proposed damper is also cheaper than the classical solutions with a cost reduction of about 40%.

THE KRAMERS TURNOVER PROBLEM: RECROSSING EFFECTS AND THE ENERGY DIFFUSION DESCRIPTION OF THERMAL ACTIVATION

1989 ◽  
Vol 03 (14) ◽  
pp. 1093-1099 ◽  
Author(s):  
H. DEKKER
Keyword(s):  
Spectral Analysis ◽  
Brownian Motion ◽  
Thermal Activation ◽  
Phase Space Density ◽  
Potential Well ◽  
Motion Model ◽  
Action Variable ◽  
Energy Diffusion ◽  
Metastable Potential ◽  
Brownian Motion Model

Kramers' Brownian motion model for escape from a metastable potential well is reconsidered in terms of the particle's energy and the action variable near the peak of the barrier. The pertinent phase space density ρ(ε, s) is uniquely determined (i) by means of a spectral analysis and (ii) upon specifying the energy distribution of (re-)entering particles. The ensuing decay rate Γ goes to zero in the low as well as in the high friction limit according to Kramers' original formulae. The nature of the intermediate turnover regime is critically discussed — and a comparison with related recent work by Büttiker, Harris and Landauer, Mel'nikov and Meshkov, and Grabert is made — while a problem with the underlying density is pointed out.

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