Chapter 4. Effective Potentials and Schwinger Functions

1995 ◽  
pp. 19-21
Keyword(s):  
Effective Potentials

Effective potentials in glassy systems

1998 ◽  
Vol 77 (2) ◽  
pp. 239-243
Author(s):  
S. Franz, G. Parisi
Keyword(s):  
Effective Potentials ◽  
Glassy Systems

scholarly journals Charged particle guiding and beam splitting with auto-ponderomotive potentials on a chip

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Robert Zimmermann ◽  
Michael Seidling ◽  
Peter Hommelhoff
Keyword(s):  
Charged Particle ◽  
Large Range ◽  
Proof Of Concept ◽  
Beam Splitting ◽  
Particle Beams ◽  
Effective Potentials ◽  
Charged Particle Beams ◽  
Electrons And Ions ◽  
Ponderomotive Forces ◽  
Planar Substrates

AbstractElectron and ion beams are indispensable tools in numerous fields of science and technology, ranging from radiation therapy to microscopy and lithography. Advanced beam control facilitates new functionalities. Here, we report the guiding and splitting of charged particle beams using ponderomotive forces created by the motion of charged particles through electrostatic optics printed on planar substrates. Shape and strength of the potential can be locally tailored by the lithographically produced electrodes’ layout and the applied voltages, enabling the control of charged particle beams within precisely engineered effective potentials. We demonstrate guiding of electrons and ions for a large range of energies (from 20 to 5000 eV) and masses (from 5 · 10−4 to 131 atomic mass units) as well as electron beam splitting for energies up to the keV regime as a proof-of-concept for more complex beam manipulation.

scholarly journals Minimal Optimized Effective Potentials for Density Functional Theory Studies on Excited-State Proton Dissociation

Micromachines ◽  
2021 ◽  
Vol 12 (6) ◽  
pp. 679
Author(s):  
Pouya Partovi-Azar ◽  
Daniel Sebastiani
Keyword(s):  
Density Functional Theory ◽  
Excited State ◽  
Proton Transfer ◽  
Density Functional ◽  
Photochemical Reactions ◽  
Transfer Energy ◽  
Functional Theory ◽  
Effective Potentials ◽  
Proton Dissociation ◽  
Dissociation Curves

Recently, a new method [P. Partovi-Azar and D. Sebastiani, J. Chem. Phys. 152, 064101 (2020)] was proposed to increase the efficiency of proton transfer energy calculations in density functional theory by using the T1 state with additional optimized effective potentials instead of calculations at S1. In this work, we focus on proton transfer from six prototypical photoacids to neighboring water molecules and show that the reference proton dissociation curves obtained at S1 states using time-dependent density functional theory can be reproduced with a reasonable accuracy by performing T1 calculations at density functional theory level with only one additional effective potential for the acidic hydrogens. We also find that the extra effective potentials for the acidic hydrogens neither change the nature of the T1 state nor the structural properties of solvent molecules upon transfer from the acids. The presented method is not only beneficial for theoretical studies on excited state proton transfer, but we believe that it would also be useful for studying other excited state photochemical reactions.

scholarly journals Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals

Entropy ◽  
2021 ◽  
Vol 23 (1) ◽  
pp. 81
Author(s):  
Agniva Roychowdhury ◽  
Sebastian Deffner
Keyword(s):  
Time Dependence ◽  
Unitary Transformation ◽  
Ion Traps ◽  
Time Frame ◽  
Effective Potentials ◽  
Shortcuts To Adiabaticity ◽  
Weyl Semimetals ◽  
Adiabatic Dynamics

Only very recently, rescaling time has been recognized as a way to achieve adiabatic dynamics in fast processes. The advantage of time-rescaling over other shortcuts to adiabaticity is that it does not depend on the eigenspectrum and eigenstates of the Hamiltonian. However, time-rescaling requires that the original dynamics are adiabatic, and in the rescaled time frame, the Hamiltonian exhibits non-trivial time-dependence. In this work, we show how time-rescaling can be applied to Dirac dynamics, and we show that all time-dependence can be absorbed into the effective potentials through a judiciously chosen unitary transformation. This is demonstrated for two experimentally relevant scenarios, namely for ion traps and adiabatic creation of Weyl points.

scholarly journals Monte Carlo and renormalization-group effective potentials in scalar field theories

1995 ◽  
Vol 51 (12) ◽  
pp. 7017-7025 ◽  
Author(s):  
J. R. Shepard ◽  
V. Dmitrašinović ◽  
J. A. McNeil
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Scalar Field ◽  
Field Theories ◽  
Effective Potentials

Calculation of Pairwise Effective Potentials in the Disordered Ni-22.5at.%Fe Alloy Using Model Potential Method with Account of Size Effect

2021 ◽  
Vol 323 ◽  
pp. 125-129
Author(s):  
Valentin Silonov ◽  
Lkhamsuren Enkhtor
Keyword(s):  
Size Effect ◽  
Short Range ◽  
Short Range Order ◽  
Potential Method ◽  
Model Potential ◽  
Order Parameters ◽  
Range Order ◽  
Disorder Phase Transition ◽  
Effective Potentials ◽  
Atomic Displacements

Pairwise effective potentials in first seventeen shells of the Ni-22.5at.%Fe alloy are calculated using model potential method with account of the linear size effect. Using obtained values of pairwise effective potentials, the short range order parameters on the first seventeen shells of alloy are calculated by Krivoglaz-Clapp-Moss method. The calculated values ​​of the short-range order parameters were fitted to the experimental values ​​by varying the parameters of static atomic displacements. Reliable value of critical temperature of order-disorder phase transition in Ni-22.5at.%Fe alloy was calculated using obtained meanings of pairwise effective potentials.

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