▁Wilson ) ▁ ▁Paul ▁Fix ▁as ▁D ude ▁M err ill ▁ ▁Ruth ▁Ford ▁as ▁My rt ▁ ▁John ▁Hamilton ▁as ▁Raf fer ty ▁ ▁Ann ▁Cor cor an ▁as ▁Belle ▁Mason ▁ ▁Ben ▁Tag gart ▁as ▁W arden ▁Kir by ▁ ▁References ▁ ▁External ▁links ▁▁▁▁▁▁▁▁▁ ▁Category : 1 9 4 2 ▁films ▁Category : 1 9 4 0 s ▁crime ▁films ▁Category : American ▁films ▁Category : American ▁crime ▁films ▁Category : English - language ▁films ▁Category : American ▁black - and - white ▁films ▁Category : Fil ms ▁directed ▁by ▁D . ▁Ross ▁Led erman <0x0A> </s> ▁The ▁two - dimensional ▁point ▁vor tex ▁gas ▁is ▁a ▁discrete ▁particle ▁model ▁used ▁to ▁study ▁tur bul ence ▁in ▁two - dimensional ▁ideal ▁flu ids . ▁The ▁two - dimensional ▁gu iding - center ▁pl asma ▁is ▁a ▁completely ▁equivalent ▁model ▁used ▁in ▁pl asma ▁physics . ▁ ▁General ▁setup ▁The ▁model ▁is ▁a ▁Hamiltonian ▁system ▁of ▁N ▁points ▁in ▁the ▁two - dimensional ▁plane ▁executing ▁the ▁motion ▁ ▁( In ▁the ▁conf ined ▁version ▁of ▁the ▁problem , ▁the ▁log arith mic ▁potential ▁is ▁modified .) ▁ ▁Inter pret ations ▁In ▁the ▁point - vor tex ▁gas ▁interpretation , ▁the ▁particles ▁represent ▁either ▁point ▁v ort ices ▁in ▁a ▁two - dimensional ▁fluid , ▁or ▁parallel ▁line ▁v ort ices ▁in ▁a ▁three - dimensional ▁fluid . ▁The ▁constant ▁ki ▁is ▁the ▁circul ation ▁of ▁the ▁fluid ▁around ▁the ▁it h ▁vor tex . ▁The ▁Hamiltonian ▁H ▁is ▁the ▁interaction ▁term