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Experimental Measurement of the Persistence Exponent of the Planar Ising Model
B. Yurke, A. N. Pargellis, S. N. Majumdar +1
Using a twisted nematic liquid crystal system exhibiting planar Ising model dynamics, we have measured the scaling exponent which characterizes the time evolution, $p(t) \sim t…
Global Persistence Exponent for Critical Dynamics
S. N. Majumdar, A. J. Bray, S. J. Cornell +1
A `persistence exponent' is defined for nonequilibrium critical phenomena. It describes the probability, , that the global order parameter has not changed sig…
Nontrivial Exponent for Simple Diffusion
Satya N. Majumdar, Clement Sire, Alan J. Bray +1
The diffusion equation \partial_tϕ= \nabla^2ϕis considered, with initial condition ϕ( _x_ ,0) a gaussian random variable with zero mean. Using a simple approximate theory we show t…
Phase transition of a Bose gas in a harmonic potential
Kedar Damle, T. Senthil, Satya N. Majumdar +1
We consider a dilute Bose gas confined by a harmonic potential. We define an appropriate thermodynamic limit and analyze the properties of the phases and phase transition in this l…
Survival Probability of a Gaussian Non-Markovian Process: Application to the T=0 Dynamics of the Ising Model
Satya N. Majumdar, Clément Sire
We study the decay of the probability for a non-Markovian stationary Gaussian walker not to cross the origin up to time . This result is then used to evaluate the fraction of sp…