Negative Mass Instability for Interacting Particles in a 1D Box: Theory and Application

Strasser, Daniel; Geyer, Tihamér; Pedersen, H. B.; Heber, O.; Goldberg, Sarah; Amarant, B.; Diner, A.; Rudich, Yinon; Sagi, Irit; Rappaport, Michael; Tannor, David J.; Zajfman, D.

doi:10.1103/physrevlett.89.283204

Cited by 54 publications

(39 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We showed that both m || > 0 and m || < 0 are possible then, the latter regime too allowing for adiabatic dynamics. From other contexts, such negative masses are known to be capable of driving intriguing effects like absolute negative conductivity [76,77], negative mass instability [78,79,80,81,82,83,84,85,86], and related phenomena [87,88,89]. Yet the effects that may flow from the variable sign of m || (or m eff ) particularly for laser-driven particles in a magnetic field remain to be studied.…”

Section: Discussionmentioning

confidence: 99%

Positive and negative effective mass of classical particles in oscillatory and static fields

Dodin

Fisch

2008

Phys. Rev. E

View full text Add to dashboard Cite

A classical particle oscillating in an arbitrary high-frequency or static field effectively exhibits a modified rest mass m eff derived from the particle averaged Lagrangian. Relativistic ponderomotive and diamagnetic forces, as well as magnetic drifts, are obtained from the m eff dependence on the guiding center location and velocity. The effective mass is not necessarily positive and can result in backward acceleration when an additional perturbation force is applied. As an example, adiabatic dynamics with m|| > 0 and m|| < 0 is demonstrated for a wave-driven particle along a dc magnetic field, m|| being the effective longitudinal mass derived from m eff . Multiple energy states are realized in this case, yielding up to three branches of m|| for a given magnetic moment and parallel velocity.

show abstract

Section: Discussionmentioning

confidence: 99%

Positive and negative effective mass of classical particles in oscillatory and static fields

Dodin

Fisch

2008

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…We see similarity between our observations and observations made in multiple pass TOF instruments, where high resolution is obtained only with a large number of ions and this effect is attributed to their phase locking. 57,58 The main difference is its dependence on the magnetic field strength. The number of ions in the cell (or better to say charge density) at which the condensation of the same m/z ion clouds starts is independent of magnetic field, while the number of ions necessary for phase locking depends quadratically on magnetic field.…”

Section: Discussionmentioning

confidence: 99%

Realistic modeling of ion cloud motion in a Fourier transform ion cyclotron resonance cell by use of a particle‐in‐cell approach

Nikolaev

Heeren

Popov

et al. 2007

Rapid Comm Mass Spectrometry

View full text Add to dashboard Cite

Using a 'Particle-In-Cell' approach taken from plasma physics we have developed a new threedimensional (3D) parallel computer code that today yields the highest possible accuracy of ion trajectory calculations in electromagnetic fields. This approach incorporates coulombic ion-ion and ion-image charge interactions into the calculation. The accuracy is achieved through the implementation of an improved algorithm (the so-called Boris algorithm) that mathematically eliminates cyclotron motion in a magnetic field from digital equations for ion motion dynamics. It facilitates the calculation of the cyclotron motion without numerical errors. At every time-step in the simulation the electric potential inside the cell is calculated by direct solution of Poisson's equation. Calculations are performed on a computational grid with up to 128 T 128 T 128 nodes using a fast Fourier transform algorithm. The ion populations in these simulations ranged from 1000 up to 1 000 000 ions. A maximum of 3 000 000 time-steps were employed in the ion trajectory calculations. This corresponds to an experimental detection time-scale of seconds. In addition to the ion trajectories integral time-domain signals and mass spectra were calculated. The phenomena observed include phase locking of particular m/z ions (high-resolution regime) inside larger ion clouds. A focus was placed on behavior of a cloud of ions of a single m/z value to understand the nature of Fourier transform ion cyclotron resonance (FTICR) resolution and mass accuracy in selected ion mode detection. The behavior of two and three ion clouds of different but close m/z was investigated as well. Peak coalescence effects were observed in both cases. Very complicated ion cloud dynamics in the case of three ion clouds was demonstrated. It was found that magnetic field does not influence phase locking for a cloud of ions of a single m/z. The ion cloud evolution time-scale is inversely proportional to magnetic field. The number of ions needed for peak coalescence depends quadratically on the magnetic field. Copyright # 2007 John Wiley & Sons, Ltd.The leading role Fourier transform ion cyclotron resonance mass spectrometry (FTICR-MS) plays in biological mass spectrometry is directly related to its unsurpassed resolution and mass accuracy combined with the possibility of utilizing all known ionization and fragmentation methods. Further improvement of mass accuracy will be greatly facilitated by a more detailed understanding of the motion of ions during ion introduction into the FTICR cell, excitation of their cyclotron motion, fragmentation and detection of induced signal. Starting from the early days of FTICR-MS the theory of ion motion in the ICR cell was an important research topic in this field. The dynamics of single particles inside the FTICR trap was analyzed by many groups in both the FTICR and physics communities. [1][2][3][4][5][6][7][8] The FTICR community has been interested mainly in obtaining a calibration formula, which connects measured frequency with ion mass. 9 The e...

show abstract

“…Already more than a decade ago "self-bunching" has been observed [43][44][45], i.e. the phenomenon that in spite of their repulsing Coulomb interaction the ions do not spread out buton the contrary -form rather short pulses.…”

Section: Mr-tof Studies At Greifswaldmentioning

confidence: 99%

Isobar separation and precision mass spectrometry of short-lived nuclides with a multi- reflection time-of-flight analyzer

Schweikhard

2014

Proceedings of 10th Latin American Symposium on Nuclear Physics and Applications — PoS(X LASNPA)

View full text Add to dashboard Cite

Multi-Reflection Time-of-Flight Mass Spectrometry (MR-ToF MS) is a technique that hasrecently been introduced to nuclear physics research. The method is reviewed and several examples from ISOLTRAP at ISOLDE/CERN are given that illustrate its power and usefulness. Initially built for fast separation of the ions of interest from abundant contaminations in order to allow precision mass spectrometry, which was demonstrated in the case of 82 Zn, ISOLTRAP's multi-reflection time-of-flight mass spectrometer also succeeded in measuring the previously unknown mass values of 53 Ca and 54 Ca. In addition, proof-of-principle experiments have been performed which demonstrate further applications where fast and high-resolution separation of ions of interest from mixtures with high abundances of contamination species is required. Furthermore, in an off-line setup MR-ToF MS is explored with respect to space-charge effects in order to find the limits of the ion abundances that can be handled. The phenomena observed include peak coalescence in the time-of-flight spectra and different distributions of the kinetic energies of the stored ion species.

show abstract

Negative Mass Instability for Interacting Particles in a 1D Box: Theory and Application

Cited by 54 publications

References 11 publications

Positive and negative effective mass of classical particles in oscillatory and static fields

Positive and negative effective mass of classical particles in oscillatory and static fields

Realistic modeling of ion cloud motion in a Fourier transform ion cyclotron resonance cell by use of a particle‐in‐cell approach

Isobar separation and precision mass spectrometry of short-lived nuclides with a multi- reflection time-of-flight analyzer

Contact Info

Product

Resources

About