?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Geometry+of+irreversibility%3A+The+film+of+nonequilibrium+states&rft.creator=Gorban%2C+Alexander+N.&rft.creator=Karlin%2C+Iliya+V.&rft.subject=Dynamical+Systems&rft.description=A+general+geometrical+framework+of+nonequilibrium+thermodynamics+is+developed.+The+notion+of+macroscopically+definable+ensembles+is+developed.+The+thesis+about+macroscopically+definable+ensembles+is+suggested.+This+thesis+should+play+the+same+role+in+the+nonequilibrium+thermodynamics%2C+as+the+Church-Turing+thesis+in+the+theory+of+computability.+The+primitive+macroscopically+definable+ensembles+are+described.+These+are+ensembles+with+macroscopically+prepared+initial+states.%0A++++++The+method+for+computing+trajectories+of+primitive+macroscopically+definable+nonequilibrium+ensembles+is+elaborated.+These+trajectories+are+represented+as+sequences+of+deformed+equilibrium+ensembles+and+simple+quadratic+models+between+them.+The+primitive+macroscopically+definable+ensembles+form+the+manifold+in+the+space+of+ensembles.+We+call+this+manifold+the+film+of+nonequilibrium+states.%0A++++++The+equation+for+the+film+and+the+equation+for+the+ensemble+motion+on+the+film+are+written+down.+The+notion+of+the+invariant+film+of+non-equilibrium+states%2C+and+the+method+of+its+approximate+construction+transform+the+problem+of+nonequilibrium+kinetics+into+a+series+of+problems+of+equilibrium+statistical+physics.+The+developed+methods+allow+us+to+solve+the+problem+of+macro-kinetics+even+when+there+are+no+autonomous+equations+of+macro-kinetics.%0A&rft.date=2002&rft.type=Preprint&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F3167%2F1%2Fplen3IHES.pdf&rft.identifier=++Gorban%2C+Alexander+N.+and+Karlin%2C+Iliya+V.++(2002)+Geometry+of+irreversibility%3A+The+film+of+nonequilibrium+states.++%5BPreprint%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F3167%2F