{"paper":{"title":"On the double-adiabatic equations in the relativistic regime","arxiv_id":"2603.25594","primary_cat":"physics.plasm-ph","submitted_at":"2026-03-26T16:10:05+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. 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variations.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.1,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.72,"result":0.04,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.24,"interpretation":0.0}},{"i":2,"p":0.95,"id":"s2","own":true,"role":"result","text":"In the case of an initial relativistic Maxwellian distribution, a natural extension to an anisotropic Maxwell-J\\\"uttner is obtained.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.91,"main_claim_p":0.11,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.95,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.04,"interpretation":0.0}},{"i":3,"p":0.81,"id":"s3","own":true,"role":"result","text":"We calculate the moments of this time-dependent solution and obtain analytical expressions for the evolution of the perpendicular and parallel pressures in the ultrarelativistic case.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.97,"main_claim_p":0.15,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.07,"result":0.81,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.12,"interpretation":0.0}},{"i":4,"p":0.36,"id":"s4","own":true,"role":"contribution","text":"We numerically solve the moment equations in the relativistic case and obtain general expressions for the double-adiabatic equations in this regime.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.97,"main_claim_p":0.36,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.31,"result":0.33,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.36,"interpretation":0.0}},{"i":5,"p":0.95,"id":"s5","own":true,"role":"method","text":"We confirm our results using fully kinetic particle-in-cell simulations of shearing and compressing 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