| dc.identifier.uri | http://hdl.handle.net/11401/77832 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dc.type | Dissertation | |
| dcterms.abstract | In this dissertation we establish a potential and flux field landscape theory for studying the global stability and dynamics as well as the non-equilibrium thermodynamics of spatially inhomogeneous non-equilibrium dynamical systems. The potential and flux landscape theory developed previously for spatially homogeneous non-equilibrium stochastic systems described by Langevin and Fokker-Planck equations is refined and further extended to spatially inhomogeneous non-equilibrium stochastic systems described by functional Langevin and Fokker-Planck equations. The probability flux field is found to be crucial in breaking detailed balance and characterizing non-equilibrium effects of spatially inhomogeneous systems. It also plays a pivotal role in governing the global dynamics and formulating a set of non-equilibrium thermodynamic equations for a generic class of spatially inhomogeneous stochastic systems. The general formalism is illustrated by studying more specific systems and processes, such as the reaction diffusion system, the Ornstein-Uhlenbeck process, the Brusselator reaction diffusion model, and the spatial stochastic neuronal model. The theory can be applied to a variety of physical, chemical and biological spatially inhomogeneous non-equilibrium systems abundant in nature. | |
| dcterms.available | 2017-09-26T17:17:45Z | |
| dcterms.contributor | Allen, Philip | en_US |
| dcterms.contributor | Wang, Jin | en_US |
| dcterms.contributor | Allison, Thomas | en_US |
| dcterms.contributor | Li, Huilin. | en_US |
| dcterms.creator | Wu, Wei | |
| dcterms.dateAccepted | 2017-09-26T17:17:45Z | |
| dcterms.dateSubmitted | 2017-09-26T17:17:45Z | |
| dcterms.description | Department of Physics. | en_US |
| dcterms.extent | 220 pg. | en_US |
| dcterms.format | Application/PDF | en_US |
| dcterms.format | Monograph | |
| dcterms.identifier | Wu_grad.sunysb_0771E_12171.pdf | en_US |
| dcterms.identifier | http://hdl.handle.net/11401/77832 | |
| dcterms.issued | 2014-05-01 | |
| dcterms.language | en_US | |
| dcterms.provenance | Submitted by Jason Torre (fjason.torre@stonybrook.edu) on 2017-09-26T17:17:45Z
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Wu_grad.sunysb_0771E_12171.pdf: 4813219 bytes, checksum: 3169cfd8bd4f9d32178cad46b630f18a (MD5) | en |
| dcterms.provenance | Made available in DSpace on 2017-09-26T17:17:45Z (GMT). No. of bitstreams: 1
Wu_grad.sunysb_0771E_12171.pdf: 4813219 bytes, checksum: 3169cfd8bd4f9d32178cad46b630f18a (MD5)
Previous issue date: 2014-05-01 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Physics | |
| dcterms.subject | global stability, non-equilibrium systems, non-equilibrium thermodynamics, potential landscape, spatially inhomogeneous systems | |
| dcterms.title | Potential and Flux Field Landscape Theory of Spatially Inhomogeneous Non-Equilibrium Systems | |
| dcterms.type | Dissertation | |
