Publications
107 results found
Evans TS, Plato ADK, 2008, Network Rewiring Models, Networks and Heterogeneous Media, Vol: 3, Pages: 221-238
Recently we showed that a simple model of network rewiring could be solved exactly for any time and any parameter value. We also showed that this model can be recast in terms of several well known models of statistical physics such as Urn model and the Voter model. We also noted that it has been applied to a wide range of problems. Here we consider various generalisations of this model and include some new exact results.
Evans TS, Plato ADK, 2007, Exact solution for the time evolution of network rewiring models, PHYSICAL REVIEW E, Vol: 75, ISSN: 2470-0045
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- Citations: 40
Evans TS, Evans TS, 2007, Exact Solutions for Network Rewiring Models, Eur. Phys. J. B, Vol: 56, Pages: 65-69-65-69
Evolving networks with a constant number of edges may be modelled using a rewiring process. These models are used to describe manyreal-world processes including the evolution of cultural artifactssuch as family names, the evolution of gene variations, and thepopularity of strategies in simple econophysics models such as the minority game. The model is closely related to Urn models used forglasses, quantum gravity and wealth distributions. The full meanfield equation for the degree distribution is found and its exactsolution and generating solution are given.
Evans TS, Hunt E, Knappett C, et al., 2007, Modelling Cultural Dynamics: A Macroscopic Approach To Cultural Transmission In The Prehistoric Aegean
In this paper we pursue a novel transdisciplinary approach to the question of cultural dynamics, focussing particularly on the transmission of cultural traits across socio-physical space. In order to think through some of the themes involved we take as a case study an inter-regional phenomenon known as �Minoanisation� (Wiener 1990; Broodbank 2004). This term describes a set of processes observed in the prehistoric Aegean (specifically the Middle and early Late Bronze Age) whereby �Minoan� cultural traits find themselves transmitted beyond the Minoan sphere, i.e. the island of Crete. That is to say, communities in regions such as the Cyclades, the Dodecanese, coastal Asia Minor and the Greek mainland adopt aspects of Cretan culture, both in the form of actual imports from Crete and also local imitations thereof. These cultural elements include pottery shapes and styles, stone vases, loomweights and wall paintings; not only new forms of material culture, but also, presumably, new cultural practices.
Evans TS, Knappett C, Rivers RJ, 2006, Physical and Relational Networks in the Aegean Bronze Age, Paris, The European Conference on Complex Systems, Publisher: ECCS
Evans TS, Plato ADK, 2006, Exact Solutions for Models of Cultural Transmission and Network Rewiring, The European Conference on Complex Systems' 06
Evans TS, Saramaki JP, 2005, Scale Free Networks from Self-Organisation, Physical Review E, Vol: 72, Pages: 026138-1-026138-14, ISSN: 1539-3755
Evans T, Knappett C, Rivers R, 2005, Dynamic networks and Hamiltonian landscapes: a case study from the Aegean Bronze Age, CRASH, Cambridge, April 2005, Pages: 1-18
Evans TS, 2004, Complex networks, CONTEMP PHYS, Vol: 45, Pages: 455-475, ISSN: 0010-7514
An outline of recent work on complex networks is given from the point of view of a physicist. Motivation, achievements and goals are discussed with some of the typical applications from a wide range of academic fields. An introduction to the relevant literature and useful resources is also given.
Evans TS, Nicola AG, Rivers RJ, et al., 2003, Transport coefficients and analytic continuation in dual (1+1)-dimensional models at finite temperature, NUCLEAR PHYSICS B, Vol: 654, Pages: 357-403, ISSN: 0550-3213
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- Citations: 1
Bedingham DJ, Evans TS, 2001, Effect of weak interactions on the ultrarelativistic Bose-Einstein condensation temperature, PHYSICAL REVIEW D, Vol: 64, ISSN: 2470-0010
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- Citations: 4
STEER DA, GÓMEZ NICOLA A, EVANS TS, et al., 2001, EXPLOITING DUALITY IN A TOY MODEL OF QCD AT T, µ ≠ 0: THE MASSIVE THIRRING MODEL, SINE-GORDON MODEL AND COULOMB GASES, Proceedings of the SEWM2000 Meeting, Publisher: WORLD SCIENTIFIC
Evans TS, Jones HF, Winder D, 2001, Non-perturbative calculations of a global <i>U</i> (2) theory at finite density and temperature, NUCLEAR PHYSICS B, Vol: 598, Pages: 578-600, ISSN: 0550-3213
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- Citations: 5
Steer DA, Nicola AG, Rivers RJ, et al., 2001, Exploiting duality in a toy model of QCD at on-zero temperature and chemical potential: the massive Thirring model, sine-Gordon model and Coulomb gases, Strong and Electroweak Matter 2000 (SEWM2000), Publisher: World Scientific, Pages: 332-336
We focus on the massive Thirring model in 1+1 dimensions at finite temperature and non-zero chemical potential, and comment on some parallels between this model and QCD. In QCD, calculations of physical quantities such astransport coefficients are extremely difficult. In the massive Thirring model, similar calculations are greatly simplified by exploiting the duality which exists with the sine-Gordon model and its relation, at high temperature, to the exactly solvable classical Coulomb gas on the line.
Evans TS, 2001, Time Dependent Effective Actions at Finite Temperature, SEWM2000 - Strong and Electroweak Matter, Publisher: World Scientific, Pages: 231-235
I study derivative expansions of effective actions at finite temperature,illustrating how the standard methods are badly defined at finite temperature.I then show that by setting up the initial conditions at a finite time, theseproblems are solved.
Evans TS, Ivin M, Möbius M, 2000, An optimized perturbation expansion for a global O(2) theory, NUCLEAR PHYSICS B, Vol: 577, Pages: 325-340, ISSN: 0550-3213
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- Citations: 8
Evans TS, 1999, Regularization schemes and the multiplicative anomaly, PHYSICS LETTERS B, Vol: 457, Pages: 127-132, ISSN: 0370-2693
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- Citations: 18
Blasone M, Evans TS, Steer DA, et al., 1999, On normal ordering and canonical transformations in thermal field theory, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 32, Pages: 1185-1195, ISSN: 0305-4470
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- Citations: 1
Evans TS, Kibble TWB, Steer DA, 1998, Wick's theorem for nonsymmetric normal ordered products and contractions, J MATH PHYS, Vol: 39, Pages: 5726-5738, ISSN: 0022-2488
We consider arbitrary splits of field operators into two parts; psi = psi(+) - psi(-), and use the corresponding definition of normal ordering introduced earlier [T. S. Evans and D. A. Steer, Nucl. Phys. B 474, 481 (1996)]. In this case the normal ordered products and contractions have none of the special symmetry properties assumed in existing proofs of Wick's theorem. Despite this, we prove that Wick's theorem still holds in its usual form as long as the contraction is a c-number. Wick's theorem is thus shown to be much more general than existing derivations suggest, and we discuss possible simplifying applications of this result. (C) 1998 American Institute of Physics. [S0022-2488(98)01911-2].
Evans TS, 1998, The Unique Derivative Expansion for Thermal Effective Actions, 5th International Workshop on Thermal Field Theories and Their Applications
I show that there is a unique and well behaved derivative expansion of aneffective action at finite temperature. The result is true for all formalismsincluding the popular Closed Time Path and Imaginary Time methods.
Evans TS, Jones HF, Ritz A, 1998, On the phase structure of the 3D SU(2)-Higgs model and the electroweak phase transition, NUCLEAR PHYSICS B, Vol: 517, Pages: 599-621, ISSN: 0550-3213
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- Citations: 14
Evans TS, 1997, Thermal Green functions at zero energy, NUCLEAR PHYSICS B, Vol: 496, Pages: 486-502, ISSN: 0550-3213
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- Citations: 4
Evans TS, Pearson AC, 1997, Thermalization of gauge bosons in the Abelian Higgs model, PHYSICAL REVIEW D, Vol: 55, Pages: 3748-3755, ISSN: 0556-2821
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- Citations: 1
Evans TS, Steer DA, 1996, Wick's theorem at finite temperature, NUCLEAR PHYSICS B, Vol: 474, Pages: 481-496, ISSN: 0550-3213
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- Citations: 36
Bettencourt LMA, Evans TS, Rivers RJ, 1996, Winding number correlation functions and cosmic string formation, PHYSICAL REVIEW D, Vol: 53, Pages: 668-680, ISSN: 0556-2821
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- Citations: 4
Evans TS, 1995, The Condensed Matter Limit of Relativistic QFT, Fourth Workshop on Thermal Field Theories and their Applications, Pages: 283-295
I study how to apply relativistic quantum field theory to condensed mattersystems. The motivation for this is examined and then two separate elements areconsidered. First we identify the precise relationship between relativistic andnon-relativistic fields. Second we consider the need for a chemical potentialand how one includes this in static and dynamical calculations.
EVANS TS, PEARSON AC, 1995, REEXAMINATION OF THE PATH-ORDERED APPROACH TO REAL-TIME THERMAL FIELD-THEORY, PHYSICAL REVIEW D, Vol: 52, Pages: 4652-4659, ISSN: 2470-0010
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- Citations: 14
EVANS TS, PEARSON AC, 1995, REAL-TIME THERMAL PROPAGATORS FOR MASSIVE GAUGE BOSONS, ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, Vol: 65, Pages: 123-126, ISSN: 0170-9739
Evans TS, 1995, What is being calculated with Thermal Field Theory?, Singapore, 9th Lake Louise Winter Institute, Publisher: World Scientific
Thermal field theory is reviewed briefly. It is noted that, until recently, it was not known what type of real-time Green function is being calculated in the Euclidean approach. The formal answer to this question is then given andthe unexpectedly complicated answer is discussed. The physical implications of the results are then considered. (Talk given at the Lake Louise Winter Institute on Particle Physics and Cosmology, 20th - 26th February, 1994, Lake Louise, Canada)
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