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SIAM Journal on Applied Mathematics, ISSN 0036-1399, 2015, Volume 75, Issue 4, pp. 1445 - 1468
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 05/2014, Volume 402, pp. 198 - 208
Journal Article
SIAM Journal on Applied Mathematics, ISSN 0036-1399, 2018, Volume 78, Issue 3, pp. 1330 - 1349
In this work, we develop a unified generalized master equation (GME) framework that extends the theory of continuous time random walks to include the cases... 
CTRW | Fractional dynamics | Generalized master equations | GME | DERIVATION | DISPERSAL | MATHEMATICS, APPLIED | MODELS | FINANCE | fractional dynamics | FRACTIONAL CALCULUS | ANOMALOUS TRANSPORT | DIFFUSION | generalized master equations
Journal Article
by Liu, YY and Yan, YM and Xu, M and Song, K and Shi, Q
CHINESE JOURNAL OF CHEMICAL PHYSICS, ISSN 1674-0068, 08/2018, Volume 31, Issue 4, pp. 575 - 583
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 06/2008, Volume 77, Issue 6, p. 060101
We derive the macroscopic Fourier's Law of heat conduction from the exact gain-loss time convolutionless quantum master equation under three assumptions for... 
SYSTEM | GENERALIZED MASTER | PHYSICS, MATHEMATICAL | THERMAL CONDUCTION | PHYSICS, FLUIDS & PLASMAS
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 10/2015, Volume 92, Issue 4, p. 042117
We study distributed-order time fractional diffusion equations characterized by multifractal memory kernels, in contrast to the simple power-law kernel of... 
FOKKER-PLANCK EQUATION | ANOMALOUS DIFFUSION | SUBDIFFUSION | RANDOM-WALKS | PHYSICS, FLUIDS & PLASMAS | LEVY FLIGHTS | RELAXATION | MASTER-EQUATIONS | GENERALIZED LANGEVIN EQUATION | MITTAG-LEFFLER FUNCTIONS | PHYSICS, MATHEMATICAL | FRACTIONAL DIFFUSION
Journal Article
Chinese Journal of Chemical Physics, ISSN 1674-0068, 08/2018, Volume 31, Issue 4, pp. 575 - 583
The time-convolutionless (TCL) quantum master equation provides a powerful tool to simulate reduced dynamics of a quantum system coupled to a bath. The key... 
Time-convolutionless generalized master equation | Spin-boson model | Exact generator | High order expansion
Journal Article
Chemical Physics, ISSN 0301-0104, 2008, Volume 347, Issue 1, pp. 243 - 249
We derive the exact time-evolution for a general quantum system under the influence of a bosonic bath that causes pure phase noise and demonstrate that for a... 
Phase noise | Decoherence | Quantum master equation | BROWNIAN-MOTION | DISSIPATION | HARMONIC-OSCILLATOR | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | quantum master equation | NON-MARKOV PROCESSES | GENERALIZED CUMULANT | decoherence | DYNAMICS | CUMULANT EXPANSION | LINEAR-DIFFERENTIAL EQUATIONS | TIME-EVOLUTION | QUANTUM-THEORY | phase noise
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 08/2016, Volume 49, Issue 38, p. 384002
Journal Article
Journal of Materials in Civil Engineering, ISSN 0899-1561, 02/2016, Volume 28, Issue 2, p. 4015115
AbstractThe objective of this study is to demonstrate using weak form partial differential equation (PDE) method for a finite-element (FE) modeling of a new... 
Technical Papers | Viscoelasticity | Asphalt mixture | Master curve | Generalized Maxwell model | Weak form partial differential equation (PDE) | Finite-element modeling | PERMANENT DEFORMATION | MATERIALS SCIENCE, MULTIDISCIPLINARY | INTERCONVERSION | COMPRESSION | AGGREGATE MIXES | CONCRETE | ENGINEERING, CIVIL | CONSTRUCTION & BUILDING TECHNOLOGY
Journal Article
Computer Physics Communications, ISSN 0010-4655, 2011, Volume 182, Issue 1, pp. 46 - 48
Journal Article
Physica E: Low-dimensional Systems and Nanostructures, ISSN 1386-9477, 2010, Volume 42, Issue 3, pp. 565 - 571
We report an observation of charge conservation breaking in a model study of electronic current noise of transport through a dissipative double quantum dot... 
Quantum Markov processes | Generalized master equation | Charge conservation | Dissipation | PHYSICS, CONDENSED MATTER | SHOT-NOISE | DYNAMICS | NANOSCIENCE & NANOTECHNOLOGY | SPECTRUM | Physics - Mesoscale and Nanoscale Physics
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 04/2005, Volume 119, Issue 1, pp. 241 - 271
Journal Article
Journal of Modern Optics, ISSN 0950-0340, 09/2006, Volume 53, Issue 14, pp. 2005 - 2010
Misaligned cavities can be described by a 3 × 3 extension of the well-known ABCD matrix approach to aligned cavities. There is a corresponding Huygens integral... 
GENERALIZED BEAM MATRICES | MODE-LOCKING | OPTICS | PROPAGATION
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2003, Volume 280, Issue 2, pp. 241 - 251
It is shown how to derive master symmetries for nonlinear lattice equations systematically using the basic principles but without using either their zero... 
Integrable lattice equations | Master symmetries | MATHEMATICS, APPLIED | INTEGRABILITY | master symmetries | MASTERSYMMETRIES | integrable lattice equations | CONSERVED-DENSITIES | EVOLUTION-EQUATIONS | NONLINEAR EVOLUTION | MATHEMATICS | GENERALIZED SYMMETRIES | SYSTEMS | PAINLEVE PROPERTY | COMPUTATION | DIFFERENTIAL-DIFFERENCE EQUATIONS
Journal Article
Central European Journal of Physics, ISSN 1895-1082, 8/2012, Volume 10, Issue 4, pp. 947 - 952
Taking a two-level system interacting with a two-band environment as an example, we discuss the non-Markovianity and initial system-environment correlations... 
Environmental Physics | Physical Chemistry | generalized Lindblad master equation | Biophysics and Biological Physics | Geophysics/Geodesy | Physics, general | Physics | Complexity | non-Markovianity | PHYSICS, MULTIDISCIPLINARY
Journal Article
Theoretical and Mathematical Physics, ISSN 0040-5779, 7/2019, Volume 200, Issue 1, pp. 966 - 984
Journal Article