A Mean-field statistical theory for the nonlinear Schrodinger equation

A statistical model of self-organization in a generic class of one-dimensional nonlinear Schrodinger (NLS) equations on a bounded interval is developed. The main prediction of this model is that the statistically preferred state for such equations consists of a deterministic coherent structure coupled with fine-scale, random fluctuations, or radiation. The model is derived from equilibrium statistical mechanics by using a mean-field approximation of the conserved Hamiltonian and particle number for finite-dimensional spectral truncations of the NLS dynamics. The continuum limits of these approximated statistical equilibrium ensembles on finite-dimensional phase spaces are analyzed, holding the energy and particle number at fixed, finite values. The analysis shows that the coherent structure minimizes total energy for a given value of particle number and hence is a solution to the NLS ground state equation, and that the remaining energy resides in Gaussian fluctuations equipartitioned over wavenumbers. Some results of direct numerical integration of the NLS equation are included to validate empirically these properties of the most probable states for the statistical model. Moreover, a theoretical justification of the mean-field approximation is given, in which the approximate ensembles are shown to concentrate on the associated microcanonical ensemble in the continuum limit.Comment: 24 pages, 2 figure

Methods to Impair Hematologic Cancer Progenitor Cells and Compounds Related Thereto

Primitive or progenitor hematologic cancer cells have been implicated in the early stages and development of leukemia and malignant lymphoproliferative disorders, including acute myelogenous leukemia (AML), chronic myelogenous leukemia (CML) and chronic lymphoid leukemia (CLL). Interleukin-3 receptor alpha chain (IL-3Rα or CD123) is strongly expressed on progenitor hematologic cancer cells, but is virtually undetectable on normal bone marrow cells. The present invention provides methods of impairing progenitor hematologic cancer (e.g., leukemia and lymphomic) cells by selectively targeting cells expressing CD123. These methods are useful in the detection and treatment of leukemias and malignant lymphoproliferative disorders. Also provided are compounds useful for selectively binding to CD123 and impairing progenitor hematologic cancer cells. These compounds may include cytotoxic moieites such as, for example, radioisotopes or chemotherapeutics

Methods to Impair Hematologic Cancer Progenitor Cells and Compounds Related Thereto

Primitive or progenitor hematologic cancer cells have been implicated in the early stages and development of leukemia and malignant lymphoproliferative disorders, including acute myelogenous leukemia (AML), chronic myelogenous leukemia (CML) and chronic lymphoid leukemia (CLL). Interleukin-3 receptor alpha chain (IL-3Rα or CD123) is strongly expressed on progenitor hematologic cancer cells, but is virtually undetectable on normal bone marrow cells. The present invention provides methods of impairing progenitor hematologic cancer (e.g., leukemia and lymphomic) cells by selectively targeting cells expressing CD123. These methods are useful in the detection and treatment of leukemias and malignant lymphoproliferative disorders. Also provided are compounds useful for selectively binding to CD123 and impairing progenitor hematologic cancer cells. These compounds may include cytotoxic moieites such as, for example, radioisotopes or chemotherapeutics

Methods to Impair Hematologic Cancer Progenitor Cells and Compounds Related Thereto

Primitive or progenitor hematologic cancer cells have been implicated in the early stages and development of leukemia and malignant lymphoproliferative disorders, including acute myelogenous leukemia (AML), chronic myelogenous leukemia (CML) and chronic lymphoid leukemia (CLL). Interleukin-3 receptor alpha chain (IL-3Ra or CD123) is strongly expressed on progenitor hematologic cancer cells, but is virtually undetectable on normal bone marrow cells. The present invention provides methods of impairing progenitor hematologic cancer (e.g., leukemia and lymphomic) cells by selectively targeting cells expressing CD123. These methods are useful in the detection and treatment of leukemias and malignant lymphoproliferative disorders. Also provided are compounds useful for selectively binding to CD123 and impairing progenitor hematologic cancer cells. These compounds may include cytotoxic moieties such as, for example, radioisotopes or chemotherapeutics

Luminous X-ray Flares from Low Mass X-ray Binary Candidates in the Early-Type Galaxy NGC 4697

We report results of the first search specifically targeting short-timescale X-ray flares from low-mass X-ray binaries in an early-type galaxy. A new method for flare detection is presented. In NGC 4697, the nearest, optically luminous, X-ray faint elliptical galaxy, 3 out of 157 sources are found to display flares at >99.95% probability, and all show more than one flare. Two sources are coincident with globular clusters and show flare durations and luminosities similar to (but larger than) Type-I X-ray superbursts found in Galactic neutron star (NS) X-ray binaries (XRBs). The third source shows more extreme flares. Its flare luminosity (~6E39 erg/s) is very super-Eddington for an NS and is similar to the peak luminosities of the brightest Galactic black hole (BH) XRBs. However, the flare duration (~70 s) is much shorter than are typically seen for outbursts reaching those luminosities in Galactic BH sources. Alternative models for the flares are considered.Comment: Astrophysical Journal Letters, accepted: 4 page

The philosophy of creative writing

Philosophy concerns asking fundamental questions about practices: their meaning, how they function, what they presuppose and what makes them distinctive. Within CW, we often ask about the effectiveness of the workshop, classroom activities or we inquire about out subject's past and present distinctiveness. But the question of a philosophy or philosophies of CW has gone largely unasked. This paper considers a number of questions about how CW articulates itself in terms of its view of teaching, autonomy and the scope of CW research. The paper argues that if CW is to be an autonomous discipline, then various problems need to be addressed. It concludes by identifying two current schools, or philosophies, of CW: Integrationism and monarchism. Whereas the latter seeks to rationalise CW as an autonomous discipline, the former seeks to see it as part of a broader education in the humanities. Ultimately, the paper seeks to create a framework for a new area of investigation in CW scholarship. A draft of this paper was presented at The Great Writing International Creative Writing Conference at Imperial College London in June 2014

The idea of community: Glenn Gould's Solitude Trilogy

Paper given at the conference: Writing Communities: People as Place (2014)

The Book of the Self

Fiction publication in New Writin