1994 - present
o
Signals of Detailed Balance Violation in Nonequilibrium Stationary States: Subtle, Manifest, and Extraordinary
R.K.P. Zia
Journal of Physics A: Mathematical and Theoretical 57, to appear (2024). doi
o
Effects of homophily and heterophily on preferred-degree networks: mean-field analysis and overwhelming transition
Xiang Li, Mauro Mobilia, Alastair M. Rucklidge, and R.K.P. Zia
Journal of Statistical Mechanics: Theory and Experiment P013402 (2022).
o
Microemulsions in the driven Widom-Rowlinson lattice gas
Maxim O. Lavrentovich, Ronald Dickman and R.K.P. Zia
Physical Review E104, 064135 (2021).
o
How does homophily shape the topology of an adaptive network?
Xiang Li, Mauro Mobilia, Alastair M. Rucklidge, and R.K.P. Zia
Physical Review E104, 044311 (2021).
o
Exact microcanonical statistical analysis of transition behavior in Ising chains and strips
K. Sitarachu, R. K. P. Zia, and M. Bachmann
Journal of Statistical Mechanics: Theory and Experiment P073204 (2020).
o
Nonequilibrium oscillations, probability angular momentum, and the climate system
Jeffrey B Weiss, Baylor Fox-Kemper, Dibyendu Mandal, Arin D Nelson, and R. K. P. Zia
Journal of Statistical Physics 179 1010 (2020).
o
Exact results for the extreme Thouless effect in a model of network dynamics
R.K.P. Zia, Weibin Zhang, Mohammadmehdi Ezzatabadipour and Kevin E. Bassler
EPL 124, 60008 (2018).
o
Coevolution of nodes and links: Diversity-driven coexistence in cyclic competition of three species
Kevin E. Bassler, Erwin Frey and R.K.P. Zia
Physical Review E99, 022309 (2018).
o
Driven Widom-Rowlinson lattice gas
Ronald Dickman and R.K.P. Zia
Physical Review E97, 062126 (2017).
o
Emergence of a spectral gap in a class of random matrices associated with split graphs
Kevin E. Bassler and R.K.P. Zia
Journal of Physics A: Mathematical and Theoretical 51, 014002 (2017). doi
o
A Heterogeneous Out-of-Equilibrium Nonlinear q-Voter Model with Zealotry
Andrew Mellor, Mauro Mobilia and R.K.P. Zia
Physical Review E95, 012104 (2017).
o
Characterization of the Nonequilibrium Steady State of a Heterogeneous Nonlinear q-Voter Model with Zealotry
Andrew Mellor, Mauro Mobilia and R.K.P. Zia
EPL 113, 48001 (2016).
o
Networks with preferred degree: A mini-review and some new results
K.E. Bassler, Deepak Dhar and R.K.P. Zia
Journal of Statistical Mechanics: Theory and Experiment P07013 (2015).
o
Extreme Thouless effect in a minimal model of dynamic social networks
K.E. Bassler, Wenjia Liu, B. Schmittmann, and R. K. P. Zia
Physical Review E91, 042102 (2015).
o
Spatial structures in a simple model of population dynamics for parasite-host interactions
J. J. Dong, B. Skinner, N. Breecher, B. Schmittmann, and R. K. P. Zia
EPL 111, 48001 (2015).
o
Nonequilibrium statistical mechanics of a two-temperature Ising ring with conserved dynamics
Nicholas Borchers, Michel Pleiming and R. K. P. Zia
Physical Review E90, 062113 (2014).
o
Exact results for a simple epidemic model on a directed network: Explorations of a system in a nonequilibrium steady state
Maxim S. Shkarayev and R. K. P. Zia
Physical Review E90, 032107 (2014).
o
Modeling interacting dynamic networks: II. Systematic study of the
statistical properties of cross-links between two networks with
preferred degrees
Wenjia Liu, B. Schmittmann, and R. K. P. Zia
Journal of Statistical Mechanics: Theory and Experiment P05021 (2014).
o
Modeling interacting dynamic networks: I. Preferred degree networks and their characteristics
Wenjia Liu, Shivakumar Jolad, B. Schmittmann, and R. K. P. Zia
Journal of Statistical Mechanics: Theory and Experiment P08001 (2013).
o
Mass transport perspective on an accelerated exclusion process: Analysis of augmented current and unit-velocity phases
Jiajia Dong, Stefan Klumpp, and R. K. P. Zia
Physical Review E87, 022146 (2013).
o
Extraordinary variability and sharp transitions in a maximally frustrated dynamic network
Wenjia Liu, B. Schmittmann, and R. K. P. Zia
EPL 100, 66007 (2012).
o
Epidemic Spreading on Preferred Degree Adaptive Networks
Shivakumar Jolad, Wenjia Liu, B. Schmittmann, and R. K. P. Zia
PLoS ONE 7(11): e48686 (2012).
o
Entrainment and unit velocity: Surprises in an accelerated exclusion process
Jiajia Dong, Stefan Klumpp, and R. K. P. Zia
Physical Review Letters 109, 130602 (2012).
o
Stochastic evolution of four species in cyclic competition
Clinton H. Durney, Sara O. Case, Michel Pleimling, and R. K. P. Zia
Journal of Statistical Mechanics: Theory and Experiment P06014 (2012).
o
Competition for finite resources
L. Jonathan Cook and R. K. P. Zia
Journal of Statistical Mechanics: Theory and Experiment P05008 (2012).
o
On the relationship between cyclic and hierarchical three-species predator-prey systems and the two-species Lotka-Volterra model
Qian He, Uwe C. Tauber, and R. K. P. Zia
European Physical Journal B85, 141 (2012).
o
Saddles, arrows, and spirals: Deterministic trajectories in cyclic competition of four species
Clinton H. Durney, Sara O. Case, Michel Pleimling, and R. K. P. Zia
Physical Review E83, 051108 (2011).
o
Modeling Translation in Protein Synthesis with TASEP: a Tutorial and Recent Developments
R. K. P. Zia, J. J. Dong and B. Schmittmann
Journal of Statistical Physics 144 405 (2011).
o
Cyclic competition of four species: mean field theory and stochastic evolution
Sara O. Case, Clinton H. Durney, Michel Pleimling, and R. K. P. Zia
EPL 92 58003 (2010).
o
Energy flux near the junction of two Ising chains at different temperatures
M. O. Lavrentovich and R. K. P. Zia
EPL 91, 50003 (2010).
o
Network Evolution Induced by the Dynamical Rules of Two Populations
T. Platini and R. K. P. Zia
Journal of Statistical Mechanics: Theory and Experiment P10018 (2010).
o
Power Spectra of a Constrained Totally Asymmetric Simple Exclusion Process
L. Jonathan Cook and R. K. P. Zia
Journal of Statistical Mechanics: Theory and Experiment P07014 (2010).
o
Convection cells induced by spontaneous symmetry breaking
Michel Pleimling, B. Schmittmann, and R. K. P. Zia
EPL 89, 50001 (2010).
o
Shorter Exposures to Harder X-rays Trigger Early Apoptotic Events
in Xenopus laevis Embryos
J.J. Dong, S.P. Mury, K.E. Drahos, M. Moscovitch, R.K.P. Zia,
C.V. Finkielstein
PLoS ONE 5(1): e8970 (2010).
o
Effects of temperature quenches on surface growth processes
Yen-Liang Chou, Michel Pleimling, and R. K. P. Zia
Physical Review E80, 061602 (2009).
o
Twenty five years after KLS: A celebration of non-equilibrium statistical mechanics
R. K. P. Zia
Journal of Statistical Physics 138, 20 (2010).
o
Competition between many Totally Asymmetric Simple Exclusion Processes for a Finite Pool of Resources
L. Jonathan Cook, R. K. P. Zia, and B. Schmittmann
Physical Review E80, 031142 (2009).
o
Opinion dynamics on an adaptive random network
I. J. Benczik, S. Z. Benczik, B. Schmittmann, and R. K. P. Zia
Physical Review E79, 046104 (2009).
o
Making Sense of the Legendre Transform
R. K. P. Zia, Edward F. Redish, and Susan R. McKay
American Journal of Physics 77, 614 (2009).
o
Power Spectra in a Zero-Range Process on a Ring: Total Occupation Number in a Segment
A. G. Angel and R. K. P. Zia
Journal of Statistical Mechanics: Theory and Experiment P03009 (2009).
o
Feedback and Fluctuations in a Totally Asymmetric Simple Exclusion Process with Finite Resources
L. Jonathan Cook and R. K. P. Zia
Journal of Statistical Mechanics: Theory and Experiment P02012 (2009).
o
Understanding the edge effect in TASEP with mean-field theoretic approaches
Jiajia Dong, R. K. P. Zia, and B. Schmittmann
Journal of Physics A: Mathematical and Theoretical 42, 015002 (2009).
o
Percolation of a collection of finite random walks - a model for gas permeation through thin polymeric membranes
R. K. P. Zia, Y. Wu, and B. Schmittmann
Journal of Mathematical Chemistry 45, 58 (2009).
o
Far-from-equilibrium transport with constrained resources
D. A. Adams, B. Schmittmann, and R. K. P. Zia
Journal of Statistical Mechanics: Theory and Experiment P06009 (2008).
o
Two-dimensional polymer networks near percolation
Y. Wu, B. Schmittmann, and R. K. P. Zia
Journal of Physics A: Mathematical and Theoretical 41, 025004 (2008).
o
Lack of consensus in social systems
I. J. Benczik, S. Z. Benczik, B. Schmittmann, and R. K. P. Zia
Europhysics Letters 82, 48006 (2008).
o
Zero-range process with long-range interactions at a T-junction
A. G. Angel, B. Schmittmann, and R. K. P. Zia
Journal of Physics A: Mathematical and Theoretical 40, 12811 (2007).
o
Inhomogeneous exclusion processes and protein synthesis
Jiajia Dong, B. Schmittmann, and R. K. P. Zia
Physical Review E76, 051113 (2007).
o
Power spectra of the total occupancy in the totally asymmetric simple exclusion process
D.A. Adams, R K P Zia, and B Schmittmann
Physical Review Letters 99, 020601 (2007).
o
Coarsening of ?clouds? and dynamic scaling in a far-from-equilibrium model
D.A. Adams, B Schmittmann, and R K P Zia
Physical Review E75, 041123 (2007).
o
Probability currents as principal characteristics in the statistical mechanics of nonequilibrium steady states
R. K. P. Zia and B. Schmittmann,
Journal of Statistical Mechanics: Theory and Experiment
P07012 (2007).
o
Simulation studies of permeation through two-dimensional ideal polymer networks
Y. Wu, B. Schmittmann, and R. K. P. Zia
Journal of Statistical Mechanics: Theory and Experiment
P04003 (2007).
o
Towards a model for protein
production rates
Jiajia Dong, B. Schmittmann, and R. K. P. Zia,
Journal of Statistical Physics
128, 21 (2007).
o
A possible classification of nonequilibrium steady states
R. K. P. Zia and B. Schmittmann,
Journal of Physics A39, L409 (2006).
o
Canonical Analysis of Condensation in Factorised Steady State
M. R. Evans, Satya N. Majumdar, and R. K. P. Zia,
Journal of Statistical Physics
123, 357 (2006).
o Factorised
steady states in mass transport models on an arbitrary graph
M. R. Evans, Satya
N. Majumdar, and R. K. P. Zia,
Journal of Physics A39,
4859 (2006).
o Cluster growth and dynamic
scaling in a two-lane driven diffusive system
I. Georgiev, B. Schmittmann, and R. K. P. Zia,
Journal of Physics A39, 3495 (2006).
o Spurious phase in a model for
traffic on a bridge
D. W. Erickson, G. Pruessner, B. Schmittmann, and R. K. P. Zia,
Journal of Physics A38,
L659 (2005).
o
Will jams get worse when slow
cars move over?
B. Schmittmann, J. Krometis, and R. K. P. Zia,
EuroPhysics
Letters 70, 299 (2005).
o Gas permeation through a
polymer network
B. Schmittmann, Manoj
Gopalakrishnan, and R. K. P. Zia,
Journal of Physics C17,
S1817 (2005).
o
Anomalous nucleation far from
equilibrium
I. Georgiev,
B. Schmittmann, and R. K. P. Zia,
Physical Review Letters 94,
115701 (2005).
o Exact dynamics of a
reaction-diffusion model with spatially alternating rates
M. Mobilia,
B. Schmittmann, and R. K. P. Zia,
Physical Review E71,
056129 (2005).
o The Nature of the Condensate in
Mass Transport Models,
Satya N. Majumdar, M. R. Evans, and R. K. P. Zia,
Physical Review Letters, 94,
180601 (2005).
o
Will jams get worse when slow
cars move over?
B. Schmittmann, J. Krometis, and R. K. P. Zia,
EuroPhysics
Letters 70, 299 (2005).
o Gas permeation through a
polymer network,
B. Schmittmann, Manoj
Gopalakrishnan, and R. K. P. Zia,
Journal of Physics C17,
S1817 (2005).
o Anomalous nucleation far from
equilibrium,
I. Georgiev, B.
Schmittmann, and R. K. P. Zia,
Physical Review Letters, 94,
115701 (2005).
o Construction of
the factorized steady state distribution in models of mass transport,
R. K. P. Zia, M. R. Evans and Satya N. Majumdar,
Journal of Statistical Mechanics: Theory and Experiment
L10001 (2004).
o The Effects of
Next-Nearest-Neighbor Interactions on the Orientation Dependence of Step
Stiffness: Reconciling Theory with Experiment for Cu(001),
T.J. Stasevich,
T.L. Einstein, R. K. P. Zia, M. Giesen, H. Ibach, and F. Szalma,
Physical Review B70,
245404 (2004).
o Complete solution of the
kinetics in a far-from-equilibrium Ising chain,
M Mobilia,
R. K. P. Zia, and B. Schmittmann,
Journal of Physics A37,
L407 (2004).
o
Bond Percolation of Polymers,
Manoj Gopalakrishnan, B. Schmittmann, and R. K. P. Zia,
Journal of Physics A37,
L337 (2004).
o Factorised
Steady States in Mass Transport Models
M. R. Evans, Satya
N Majumdar, and R. K. P. Zia,
Journal of Physics A37,
L275 (2004).
o Fluctuations and correlations
in an individual-based model of biological coevolution
R. K. P. Zia and P. A. Rikvold,
Journal of Physics A37,
5135 (2004).
o
Effects of
cooling rate and physical aging on the gas transport properties in
polycarbonate,
C. M. Laot,
E. Marand, B. Schmittmann, and R. K. P. Zia.
Marcomolecules 36,
8673 (2003).
o Relevance of space anisotropy
in the critical behavior of m-axial Lifshitz
points
H. W. Diehl, M. A. Shpot, and R. K. P. Zia,
Physical Review B68 224415
(2003).
o Punctuated equilibria
and 1/f noise in a biological coevolution
model with individual-based dynamics
P. A. Rikvold
and R. K. P. Zia,
Physical Review E68,
031913 (2003).
o Modeling, Simulations, and
Analyses of Protein Synthesis: Driven Lattice Gas with Extended Objects
L. B. Shaw, R. K. P. Zia, and K. H.
Lee,
Physical Review E68,
021910 (2003).
o
Watching a Drunkard for Ten
Nights: a Study of Distributions of Variances
R. K. P. Zia and B. Schmittmann,
American Journal of Physics 71,
859 (2003).
o Effects of Differential
Mobility on Biased Diffusion of Two Species
R. S. Hipolito,
R. K. P. Zia, and B. Schmittmann,
Journal of Physics A36,
4963 (2003).
o
Repeated Bond Traversal
Probabilities for the Simple Random Walk,
T. Antal,
H.J. Hilhorst, and R. K. P. Zia,
Journal of Physics, A35,
8145 (2002).
o Coarsening Dynamics of a Quasi
One-dimensional Driven Lattice Gas,
J. T. Mettetal,
B. Schmittmann, and R. K. P. Zia,
Europhysics
Letters, 58, 653 (2002).
R. K. P. Zia, E. L. Praestgaard, and O. G. Mouritsen,
American Journal of Physics, 70, 384
(2002).
o Critical Behaviour of Driven Bilayer Systems: A Field-theoretic Renormalisation
Group Study
U. C. T?uber, B. Schmittmann, and R. K. P. Zia,
Journal of Physics A34,
L583 (2001)
o
Quantum
Neural Networks,
S. Gupta and R. K. P. Zia,
Journal of Computer and System Sciences 63,
355 (2001).
o Comment on `Renormalization-Group
Calculation of the Dependence on Gravity of the Surface Tension and Bending
Rigidity of a Fluid Interface' ,
H. W. Diehl and R. K. P. Zia,
Physical Review Letters 87, 209601
(2001).
o Microscopic Kinetics and
Time-dependent Structure Factors,
T. Aspelmeier, B.
Schmittmann, and R. K. P. Zia,
Physical Review Letters 87, 065701
(2001).
o
Wulff Shapes and the Critical Nucleus for a Triangular
Ising Lattice,
V.A. Shneidman and R.
K. P. Zia,
Physical Review B63, 085410
(2001).
o
Fluctuations and Correlations in
Population Models with Age Structure,
Martin Howard and R. K. P. Zia,
International Journal of Modern Physics B15,
391 (2001).
o A Lattice Gas Coupled to Two
Thermal Reservoirs: Monte Carlo and Field Theoretic Studies,
E. L. Praestgaard, B.
Schmittmann, and R. K. P. Zia,
European Physical Journal B18 ,
675 (2000).
o Extremal-point
Densities of Interface Fluctations,
Z. Toroczkai, G. Korniss, S. Das Sarma, and R. K.
P. Zia,
Physical Review E62, 276 (2000).
o Viability of Competing Field
Theories for the Driven Lattice Gas,
B. Schmittmann, H. K. Janssen, U. C. T?uber, R.
K. P. Zia, K.-t. Leung, and J. L. Cardy,
Physical Review E61, 5977 (2000).
o Dynamic Scaling in
Vacancy-Mediated Disordering,
B. Schmittmann, R. K. P. Zia, and W. Triampo,
Brazilian Journal of Physics 30,
139 (2000).
o Possible Existence of an
Extraordinary Phase in the Driven Lattice Gas,
R. K. P. Zia, L. B. Shaw, and B. Schmittmann,
Physica A279,
60 (2000).
o Contrasts between Equilibrium
and Non-equilibrium Steady states: Computer Aided Discoveries in Simple Lattice
Gases,
R. K. P. Zia, L. B. Shaw, B. Schmittmann, and R.
J. Astalos,
Computer Physics Communications 127,
23 (2000).
o "Weather" Records:
Musings on Cold Days after a Long Hot Indian Summer ,
B. Schmittmann and R. K. P. Zia,
American Journal of Physics 67,
1269 (1999).
o Phase Transitions in a Driven
Ising Lattice Gas with Anisotropic Interactions ,
L. B. Shaw, B. Schmittmann, and R. K. P. Zia,
Journal of Statistical Physics 95,
981 (1999).
o Long-Range Order in a Quasi
One-Dimensional Non-Equilibrium Three-State Lattice Gas,
G. Korniss, B.
Schmittmann and R. K. P. Zia,
Europhysics
Letters 45, 431 (1999).
o
Three Manifestations of the
Pulsed Harmonic Potential,
T. J. Newman and R. K. P. Zia,
Journal of Physics A31, 9621
(1998).
o
Random Walk with a Hop-Over
Site: A Novel Approach to Tagged Diffusion and Its Applications,
R. K. P. Zia and Z. Toroczkai,
Journal of Physics A31, 9667
(1998).
o Two point Correlations and
Critical Line of the Driven Ising Lattice Gas in a High Temperature Expansion,
B. Schmittmann and R. K. P. Zia,
Journal of Statistical Physics 91,
525 (1998).
o
Equilibrium Shapes of Droplets a cross
Grain Boundaries,
R. K. P. Zia,
Physica A251,
40 (1998).
o Brownian-Vacancy Mediated
Disordering Dynamics,
Z. Toroczkai, G. Korniss, B. Schmittmann, and R. K. P. Zia,
Europhysics
Letters 40, 281 (1997).
o
Drifting Spatial Structures in
a System with Oppositely Driven Species,
K.-t. Leung and R. K. P. Zia,
Physical
Review E56, 308 (1997).
o
Contrasts between Coarsening
and Relaxational Dynamics in Surface Growth,
M. Siegert, M. Plischke and R. K. P. Zia,
Physical
Review Letters 78, 3705 (1997).
o
Asymmetries
in Structure Factor Histograms,
G. Korniss, B.
Schmittmann, and R. K. P. Zia,
Journal of Physics A30, 3837
(1997).
o Onset of Ordering
in Driven Bi-Layer Lattice Gasses,
B. Schmittmann, C. C. Hill and R. K. P. Zia,
Physica A239,
382 (1997).
o Periodic One-dimensional
Hopping Model with One Mobile Directional Impurity,
Z. Toroczkai and R. K.
P. Zia,
Journal of Statistical Physics 87,
545 (1997).
o Non-equilibrium Phase Transitions in a Simple
Three-State Lattice Gas,
G. Korniss, B.
Schmittmann and R. K. P. Zia,
Journal of Statistical Physics 86,
721 (1997).
o Long Range Correlations in the
Disordered Phase of a Simple Three State Lattice Gas,
G. Korniss, B.
Schmittmann and R. K. P. Zia,
Physica A239,
111 (1997).
o Distribution of Structure Factors and Phase
Transitions in a Driven Lattice Gas,
M. S. Rudzinsky and R.
K. P. Zia,
Journal of Physics A29, 6717 (1996).
o Phase Transitions in
Driven Bi-layer Systems: A Monte Carlo Study,
C. Hill, R. K. P. Zia and B. Schmittmann,
Physical
Review Letters 77, 514 (1996).
o
A Model for Electropheresis
of Polymers with Impurities: Exact Distribution for a Steady State,
Z. Toroczkai and R. K.
P. Zia,
Physics Letters A217, 97 (1996).
o
Subtleties in Data Analysis Related to
the Size of Critical Region ;
K.-t. Leung and R. K. P. Zia,
Journal of Statistical Physics 83,
1219 (1996).
o
Distributions of Absolute Central
Moments for Random Walk Surfaces,
A.J. McKane and R. K.
P. Zia,
Journal of Physics A29, 1175
(1996)
o Monte Carlo Studies of a Driven Lattice Gas:
I. Growth and Asymmetry during Phase Segregation,
F. J. Alexander, C. A. Laberge,
J. L. Lebowitz and R. K. P. Zia,
Journal of Statistical Physics 82,1133
(1996).
o Novel Phase Transitions in Biased Diffusion
of Two Species,
G. Korniss, B.
Schmittmann and R. K. P. Zia,
Europhysics
Letters 32, 49 (1995).
o Phase Transitions in a Driven Lattice Gas at
Two Temperatures,
K.E. Bassler and R. K.
P. Zia,
Journal of Statistical Physics 80,
499 (1995).
o On Singularities in the Disordered Phase of a
Driven Diffusive System,
R. K. P. Zia and B. Schmittmann,
Zeitschrift f?r Physik B97, 327
(1995).
o Spontaneous Structure Formation in Driven
Systems with Two Species: Exact Solutions in a Mean-Field Theory,
I. Vilfan, R. K. P.
Zia and B. Schmittmann,
Physical Review Letters 73, 2071
(1994).
o Width Distribution of Curvature-driven
Interfaces: A Study of Universality,
M. Plischke, Z. Racz and R. K. P. Zia,
Physical Review E50, 3589 (1994).
o Width Distribution for Random-Walk
Interfaces,
G. Foltin, K Oerding, Z. Racz, R. Workman and
R. K. P. Zia,
Physical Review E50, R639 (1994).
o Phase Transitions in a Non-equilibrium Potts
Model: A Monte-Carlo Study of Critical Behavior,
K. E. Bassler and R.
K. P. Zia,
Physical Review E49, 5871 (1994).
o Scaling Analysis of Narrow Necks in Curvature
Models of Fluid Lipid-Bilayer Vesicles,
B. Fourcade, L. Miao,
M. Rao, M. Wortis and R. K.
P. Zia,
Physical Review E49, 5276 (1994).
o Finite-size Scaling in a Two-temperature Lattice
Gas: a Monte-Carlo Study of Critical Properties,
E. L. Praestgaard,
Heine Larsen and R. K. P. Zia,
Europhysics
Letters 25, 447 (1994).
o Two-temperature Kinetic Ising Model in One
Dimension: Steady-state Correlations in terms of Energy and Energy Flux,
Z. Racz and R. K. P.
Zia,
Physical Review E49, 139 (1994).
selected
articles published before 1994
o
Euclidean Group as a
Dynamical Symmetry of Surface Fluctuations: The Planar Interface and Critical
Behaviour ,
D.J. Wallace and R. K. P. Zia,
Physical Review Letters 43,
808(1979).