scholarly journals The Boundary Driven Zero-Range Process

2021 ◽  
pp. 253-281
Author(s):  
Susana Frómeta ◽  
Ricardo Misturini ◽  
Adriana Neumann
Keyword(s):  
Zero Range Process ◽  
Zero Range ◽  
Range Process

scholarly journals Linear response in the nonequilibrium zero range process

2014 ◽  
Vol 64 ◽  
pp. 78-87 ◽  
Author(s):  
Christian Maes ◽  
Alberto Salazar
Keyword(s):  
Linear Response ◽  
Zero Range Process ◽  
Zero Range ◽  
Range Process

scholarly journals Cutoff for the mean-field zero-range process

2019 ◽  
Vol 47 (5) ◽  
pp. 3170-3201 ◽  
Author(s):  
Mathieu Merle ◽  
Justin Salez
Keyword(s):  
Mean Field ◽  
Zero Range Process ◽  
Zero Range ◽  
The Mean ◽  
Range Process

scholarly journals A HETEROGENEOUS ZERO-RANGE PROCESS RELATED TO A TWO-DIMENSIONAL WALK MODEL

2012 ◽  
Vol 26 (09) ◽  
pp. 1250044 ◽  
Author(s):  
SEYEDEH RAZIYEH MASHARIAN ◽  
FARHAD H. JAFARPOUR
Keyword(s):  
Partition Function ◽  
Matrix Product ◽  
Two Dimensional ◽  
Canonical Partition Function ◽  
Zero Range Process ◽  
Grand Canonical Partition Function ◽  
Driven Diffusive System ◽  
Zero Range ◽  
Grand Canonical ◽  
Range Process

We have considered a disordered driven-diffusive system defined on a ring. This system can be mapped onto a heterogeneous zero-range process. We have shown that the grand-canonical partition function of this process can be obtained using a matrix product formalism and that it is exactly equal to the partition function of a two-dimensional walk model. The canonical partition function of this process is also calculated. Two simple examples are presented in order to confirm the results.

scholarly journals Instability of condensation in the zero-range process with random interaction

2008 ◽  
Vol 78 (3) ◽  
Author(s):  
Stefan Grosskinsky ◽  
Paul Chleboun ◽  
Gunter M. Schütz
Keyword(s):  
Zero Range Process ◽  
Random Interaction ◽  
Zero Range ◽  
Range Process
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