Đang chuẩn bị liên kết để tải về tài liệu:
Chaotic Systems Part 4

Tham khảo tài liệu 'chaotic systems part 4', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 64 Chaotic Systems a -Fermi-Pasta-Ulam -FPU system. We will discuss the behavior of the energy transfer process energy equipartition problem and their dependence on the number of degrees of freedom. The time evolution of entropy by using the nonextensive thermo-dynamics and microscopic dynamics of non-equilibrium transport process will be examined in Sec. 4. In Sec. 5 we will further explore our results in an analytical way with deriving a generalized Fokker-Planck equation and a phenomenological Fluctuation-Dissipation relation and will discuss the underlying physics. By using the jfi-FPU model Hamiltonian we will further explore how different transport phenomena will appear when the two systems are coupled with linear or nonlinear interactions in Sec. 6. The last section is devoted for summary and discussions. 2. Theory of coupled-master equations and transport equation of collective motion As repeatedly mentioned in Sec. 1 when one intends to understand a dynamics of evolution of a finite Hamiltonian system which connects the macro-level dynamics with the micro-level dynamics one has to start with how to divide the total system into the weakly coupled relevant collective or macro n n and irrelevant intrinsic or micro Ị Ị systems. As an example the nucleus provides us with a very nice benchmark field because it shows a coexistence of macroscopic and microscopic effects in association with various phase transitions and a mutual relation between classical and quantum effects related with the macro-level and micro-level variables respectively. At certain energy region the nucleus exhibits some statistical aspects which are associated with dissipation phenomena well described by the phenomenological transport equation. 2.1 Nuclear coupled master equation Exploring the microscopic theory of nuclear large-amplitude collective dissipative motion whose characteristic energy per nucleon is much smaller than the Fermi energy one may start with the time-dependent .