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Thermodynamics Property Of Temporary Self-Organization

Posted on:2003-08-10Degree:MasterType:Thesis
Country:ChinaCandidate:S G TianFull Text:PDF
GTID:2121360065960719Subject:Physical chemistry
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Since its birth, nonequilibrium thermodynamics has attracted world's attention. It is often used to successfully predict the bifurcation and the possibility of instability of symmetry breaking of some systems when they are in the state of being far from balance. However, the studies of how to use thermodynamics function to describe an established dissipation system or a system undergoing nonequilibrium phase transition doesn't go deep.The thesis aims at the studies of the thermodynamics property of dissipative structure. We hope to demonstrate a series of thermodynamics property of the system as possibly as we can, or to find out a state function whose property is the embodiment of the property of dissipation structure itself. Up till now, however, there is no common formula to apply to this way of solution. Therefore, our efforts will turn to another way to analyze the thermodynamics property of a certain established dissipation structure, that is, to study the presentations of certain given function in dissipation structure, ie. entropy or entropy production.Based on the presumption of local balance, local entropy difference, entropy production difference and entropy flow difference are derived from local Gibbs formula, and the further derivation of the common thermodynamic function of general entropy difference, entropy production difference and entropy flow difference in entire arbitrary state and thermodynamics branch reference state sets the theoretic base for the calculation of the change of dissipation system's thermodynamics property during the process of nonequilibrium phase transition.The third chapter analyzes Schlogl model system from the perspective of thermodynamics. The multiple steady state transition under the condition of being far from balance is analyzed through ways of dynamics first. Then the analysis goes to of the changes of entropy difference, entropy production difference and entropy flow difference of the system when the transition from instable steady state to stable steady state occurs. It is demonstrated that with the increase of distance from balance and with the transition of the system from the instable steady state to stable thermodynamics upper branch ends, the entropy difference of the system decreases, entropy production differencecontinues to increases, and entropy flow difference is negative, while when the instable steady state transits to stable thermodynamics lower branch, the entropy difference of the system also decrease, but entropy production difference and entropy flow difference show a tendency totally opposite to they are in the fist situation.The forth chapter focus on the studies of the thermodynamics of the Lotka model with conservation surge features and the Bruseel model with features of steady stable limit circle. The studies includes 4 approaches: entropy difference, entropy production difference, entropy production density and entropy flow density, and dissipation spectrum and flow-in spectrum. At the same time, ways of dynamics are used to solve the problem of the instable steady state of the two model under the condition of being far from balance.As to the Lotka model, the state of the system under different initial condition shows a periodic movement centering on steady state as responding to initial condition. The features of entropy difference, entropy production and entropy flow in one periodic trajectory are studied, which shows no macroscopic meanings of instantaneous value. Then, the research of periodic average value reveals that compared to the average value of entropy difference in steady state, periodic average value of entropy difference decreases. Of course, it cannot justify that the ordering of time (that is, the average value of entropy production and entropy flow difference are zero) appears during the process of the transition from steady state to periodic movement. Further studies is devoted to the periodic average value of entropy difference and entropy flow difference responding to the unit change of general rate-the...
Keywords/Search Tags:thermodynamic property, temporary self-organizations, entropy production, entropy flow, flow-in spectrum
PDF Full Text Request
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