Logarithmic Sobolev inequality for zero-range dynamics
Copyright policy )Logarithmic Sobolev inequality for zero-range dynamics
Published at http://dx.doi.org/10.1214/009117905000000332 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
We prove that the logarithmic Sobolev constant for zero-range processes in a box of diameter $L$ grows as $L^2$.
- University of Padua Italy
- University of Verona Italy
- Sapienza University of Rome Italy
- Polytechnic University of Milan Italy
Logarithmic Sobolev inequality, Probability (math.PR), FOS: Physical sciences, Interacting random processes; statistical mechanics type models; percolation theory, Mathematical Physics (math-ph), 60K35, FOS: Mathematics, 60K35, 82C22 (Primary), Interacting particle systems in time-dependent statistical mechanics, 82C22, zero-range processes, Interacting particle systems; logarithmic Sobolev inequality; zero range process., Mathematics - Probability, Mathematical Physics
Logarithmic Sobolev inequality, Probability (math.PR), FOS: Physical sciences, Interacting random processes; statistical mechanics type models; percolation theory, Mathematical Physics (math-ph), 60K35, FOS: Mathematics, 60K35, 82C22 (Primary), Interacting particle systems in time-dependent statistical mechanics, 82C22, zero-range processes, Interacting particle systems; logarithmic Sobolev inequality; zero range process., Mathematics - Probability, Mathematical Physics
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