TY - JOUR
T1 - Positivity of the self-diffusion matrix of interacting Brownian particles with hard core
AU - Osada, Hirofumi
PY - 1998/1/1
Y1 - 1998/1/1
N2 - We prove the positivity of the self-diffusion matrix of interacting Brownian particles with hard core when the dimension of the space is greater than or equal to 2. Here the self-diffusion matrix is a coefficient matrix of the diffusive limit of a tagged particle. We will do this for all activities, z > 0, of Gibbs measures; in particular, for large z - the case of high density particles. A typical example of such a particle system is an infinite amount of hard core Brownian balls.
AB - We prove the positivity of the self-diffusion matrix of interacting Brownian particles with hard core when the dimension of the space is greater than or equal to 2. Here the self-diffusion matrix is a coefficient matrix of the diffusive limit of a tagged particle. We will do this for all activities, z > 0, of Gibbs measures; in particular, for large z - the case of high density particles. A typical example of such a particle system is an infinite amount of hard core Brownian balls.
UR - http://www.scopus.com/inward/record.url?scp=0032166362&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0032166362&partnerID=8YFLogxK
U2 - 10.1007/s004400050183
DO - 10.1007/s004400050183
M3 - Article
AN - SCOPUS:0032166362
VL - 112
SP - 53
EP - 90
JO - Probability Theory and Related Fields
JF - Probability Theory and Related Fields
SN - 0178-8051
IS - 1
ER -