Mathematical Sciences: The Mathematics and Physics of       Disordered Materials
{'Code': '03040107', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Peter Arzberger', 'PO_EMAI': None, 'PO_PHON': None}
The two co-principal investigators will study many problems                connected with disordered materials.  The physical events to be                 studied include unfrustrated bond random magnets, disordered                    electronic systems and spin glasses.  Analysis of the                           corresponding mathematical models is expected to lead to                        fundamental discoveries about these events such as low                          temperature properties of spin glasses.  The mathematical models                used include percolation and classical transport models, and                    stochastic growth models.  Most of the questions relate to the                  equilibrium properties but some relate to the dynamics.  Behavior               near the phase transitions will be of particular interest.  The                 novelty of this project is the rigorous study, rooted primarily                 in mathematics, of systems that are generally studied                           experimentally.  The investigators have already made very                       valuable contributions to the field including the existence of a                spin-glass phase for an Ising model on a Cayley tree.
[{'FirstName': 'Jennifer', 'LastName': 'Chayes', 'PI_MID_INIT': 'T', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Jennifer T Chayes', 'EmailAddress': None, 'NSF_ID': '000179482', 'StartDate': '07/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'Lincoln', 'LastName': 'Chayes', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Lincoln Chayes', 'EmailAddress': 'lchayes@math.ucla.edu', 'NSF_ID': '000091334', 'StartDate': '07/15/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'University of California-Los Angeles', 'CityName': 'LOS ANGELES', 'ZipCode': '900244200', 'PhoneNumber': '3107940102', 'StreetAddress': '10889 WILSHIRE BLVD STE 700', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '36', 'CONGRESS_DISTRICT_ORG': 'CA36', 'ORG_UEI_NUM': 'RN64EPNH8JC6', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, LOS ANGELES', 'ORG_PRNT_UEI_NUM': None}
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[{'Code': '1262', 'Text': 'MODERN ANALYSIS'}, {'Code': '1263', 'Text': 'PROBABILITY'}, {'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}]
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