English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Dr. Brizard's comment on my work is based on a conceived procedure that doesnot come from my work. The defense of his claim that the modification of theso-called standard Lie's transform theory is unnecessary is also unsupported.This response reveals in detail the inconsistency issues in the so-calledstandard Lie's transform theory by analyzing both its results and root causes.The problem in the so-called standard Lie's transform theory is beyond theissue to take into account the ordering difference between the guiding centermotion and gyromotion. The inconsistent commutation of derivative and limitcauses another issue. Besides, the so-called standard Lie's transformformulation leads to an unnecessarily lengthy and tedious derivation processfor a one or two page task under the singular (or renormalized) formalismdescribed in my paper.

physics of plasmas

Response to "Comment on `Modification of Lie's transform perturbation  theory for charged particle motion in a magnetic field'" [Phys. Plasmas 30,  104701 (2023)]